| 公開日期 | 標題 | 作者 | 來源出版物 | scopus | WOS | 全文 |
| 1 | 2007 | A Chaos Detectable and Time Step-Size Adaptive Numerical Scheme for Non-Linear Dynamic Systems | Yung-Wei Chen ; Chein-Shan Liu ; Jiang-Ren Chang | Journal of Sound and Vibration | | 6 | |
| 2 | 2005 | A group preserving scheme for inverse heat conduction problems | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 3 | 2007 | A new shooting method for quasi-boundary regularization of backward heat conduction problems | Jiang-Ren Chang ; Chang, C. W.; Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 4 | 2009 | A NEW SHOOTING METHOD FOR QUASI-BOUNDARY REGULARIZATION OF MULTI-DIMENSIONAL BACKWARD HEAT CONDUCTION PROBLEMS | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 5 | 2008 | A New Shooting Method for Solving Boundary Layer Equations in Fluid Mechanics | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 6 | 2009 | A Novel Method for Solving the Cauchy Problem of Laplace Equation Using the Fictitious Time Integration Method | Chi, C. C.; Wei-Chung Yeih ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 7 | 2010 | A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Heat Conduction Problems | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 8 | 2010 | A QUASI-BOUNDARY SEMI-ANALYTICAL METHOD FOR BACKWARD HEAT CONDUCTION PROBLEMS | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 9 | 2009 | A Quasi-Boundary Semi-Analytical Method for Backward in Time Advection-Dispersion Equation | Chan, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 10 | 2018 | A regularized Fourier sine series solution of a 3D backward heat conduction problem with extremal long time span | Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Numerical Heat Transfer Part B-Fundamentals | | | |
| 11 | 2009 | A Scalar Homotopy Method for Solving an Over/Under-Determined System of Non-Linear Algebraic Equations | Wei-Chung Yeih ; Kuo, C. L.; Atluri, S. N.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 12 | 2013 | A Scalar Homotopy Method with Optimal Hybrid Search Directions for Solving Nonlinear Algebraic Equations | Wei-Chung Yeih ; Chan, I. Y.; Cheng-Yu Ku ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 13 | 2017 | A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equations | Chang, C. W.; Jiang-Ren Chang ; Chen, H. T.; Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 14 | 2009 | A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSM | Wei-Chung Yeih ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 15 | 2012 | Adaptive multilayer method of fundamental solutions using a weighted greedy QR decomposition for the Laplace equation | Shigeta, T.; Young, D. L.; Chein-Shan Liu | Journal of Computational Physics | | | |
| 16 | 2015 | An algorithm with m-step residual history for solving linear equations: Data interpolation by a multi-shape-factors RBF | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 17 | 2010 | An Enhanced Fictitious Time Integration Method for Non-Linear Algebraic Equations With Multiple Solutions: Boundary Layer, Boundary Value and Eigenvalue Problems | Wei-Chung Yeih ; Atluri, S. N.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 18 | 2017 | An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile | Liu, Chein-Shan ; Wang, Peifang; Chang, Jiang-Ren | J COMPUT APPL MATH | | 4 | |
| 19 | 2014 | Analysis of Elastic-Plastic Waves in a Thin-Walled Tube By a Novel Lie-Group Differential Algebraic Equations Method | Chein-Shan Liu ; Atluri, S. N. | Cmc-Computers Materials & Continua | | | |
| 20 | 2016 | An analytic adjoint Trefftz method for solving the singular parabolic convection-diffusion equation and initial pollution profile problem | Liu, Chein-Shan ; Wang, Peifang | INT J HEAT MASS TRAN | | 10 | |
| 21 | 2020 | Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization | Chein-Shan Liu ; Chang, C. W. | Inverse Problems in Science and Engineering | | | |
| 22 | 2009 | An Analytical Method for Computing the One-Dimensional Backward Wave Problem | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 23 | 2011 | AN ANALYTICAL METHOD FOR THE INVERSE CAUCHY PROBLEM OF LAPLACE EQUATION IN A RECTANGULAR PLATE | Chein-Shan Liu | Journal of Mechanics | | | |
| 24 | 2016 | Analytical solution of spray cooling characteristics on a hot surface using the Laplace transform | Chen, H. T.; Lin, J. H.; Xu, X. J.; Jiang-Ren Chang ; Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 25 | 2014 | Application of a modified manifold-based exponentially convergent algorithm to solve elliptic boundary-value problems | Chang, C. M.; Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Ima Journal of Numerical Analysis | | | |
| 26 | 2009 | Applications of the Fictitious Time Integration Method Using a New Time-Like Function | Wei-Chung Yeih ; Chi, C. C.; Cheng-Yu Ku ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 27 | 2009 | Applications of the modified Trefftz method for the Laplace equation | Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Engineering Analysis with Boundary Elements | | | |
| 28 | 2010 | Applications of the Modified Trefftz Method to the Simulation of Sloshing Behaviors | Yung-Wei Chen ; Chein-Shan Liu ; Chun-Ming Chang; Jiang-Ren Chang | Engineering Analysis with Boundary Elements | | 15 | |
| 29 | 2005 | The asymptotic behavior of perfectly elastoplastic model under periodic square generalized strain paths | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 30 | 2021 | Asymptotic Numerical Solutions for Second-order Quasilinear Singularly Perturbed Problems | Liu, Chein-Shan ; Chang, Chih-Wen | JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN | | 1 | |
| 31 | 2010 | A Backward Group Preserving Scheme for Multi-Dimensional Backward Heat Conduction Problems | Chang, C. W.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 32 | 2010 | A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems | Chang, C. W.; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 33 | 2014 | The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problems | Chang, C. W.; Chein-Shan Liu | Applied Mathematical Modelling | | | |
| 34 | 2016 | A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 35 | 2019 | Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems | Qiu, L.; Chen, W.; Wang, F. J.; Chein-Shan Liu ; Hu, Q. S. | Engineering Analysis with Boundary Elements | | | |
| 36 | 2018 | Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation | Wang, F. J.; Hua, Q. S.; Chein-Shan Liu | Applied Mathematics Letters | | | |
| 37 | 2022 | Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions | Deng, Aimin; Lin, Ji; Liu, Chein-Shan | MATHEMATICS AND COMPUTERS IN SIMULATION | | 1 | |
| 38 | 2021 | A boundary shape function iterative method for solving nonlinear singular boundary value problems | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | MATHEMATICS AND COMPUTERS IN SIMULATION | | 9 | |
| 39 | 2021 | A boundary shape function method for analyzing nonlinear composite beams, subjecting to nonlinear boundary moment conditions | Liu, Chein-Shan | COMPOSITE STRUCTURES | | 4 | |
| 40 | 2022 | A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm-Liouville Problems | Liu, Chein-Shan ; Chang, Jiang-Ren ; Shen, Jian-Hung; Chen, Yung-Wei | MATHEMATICS | | 1 | |
| 41 | 2020 | Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions | Chein-Shan Liu ; Chang, C. W. | Boundary Value Problems | | | |
| 42 | 2020 | Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions | Chein-Shan Liu ; Jiang-Ren Chang | International Journal of Nonlinear Sciences and Numerical Simulation | | 15 | |
| 43 | 2017 | Boundary stress analysis using a new regularized boundary integral equation for three-dimensional elasticity problems | Qu, W. Z.; Zhang, Y. M.; Chein-Shan Liu | Archive of Applied Mechanics | | | |
| 44 | 2019 | Closed-form higher-order numerical differentiators for differentiating noisy signals | Liu, Chein-Shan ; Dong, Leiting | APPL MATH COMPUT | | 1 | |
| 45 | 2019 | Collocation method with fractional powers exponential trial functions for singularly perturbed reaction-convection-diffusion equation | Chein-Shan Liu ; Chang, C. W. | International Journal of Thermal Sciences | | | |
| 46 | 2005 | A combination of group preserving scheme and Runge-Kutta method for the integration of Landau-Lifshitz equation | Chein-Shan Liu ; Ku, Y. L. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 47 | 2007 | The computation of modified Landau-Lifshitz equation under an AC field | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 48 | 2005 | Computational applications of the Poincare group on the elastoplasticity with kinematic hardening | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 49 | 2003 | Computational isotropic-workhardening rate-independent elastoplasticity | Mukherjee, S.; Chein-Shan Liu | Journal of Applied Mechanics-Transactions of the Asme | | | |
| 50 | 2006 | The computations of large rotation through an index two nilpotent equation | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 51 | 2006 | Computing Prager's kinematic hardening mixed-control equations in a pseudo-Rriemann manifold | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 52 | 2012 | Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group SL(2, R) | Chein-Shan Liu | Journal of Computational and Applied Mathematics | | | |
| 53 | 2012 | The Concept of Best Vector Used to Solve Ill-Posed Linear Inverse Problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 54 | 2001 | Cone of non-linear dynamical system and group preserving schemes | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 55 | 2009 | Conformal Mapping and Bipolar Coordinate for Eccentric Laplace Problems | Jeng-Tzong Chen ; MING-HONG TSAI; Chein-Shan Liu | Computer Applications in Engineering Education | | 10 | |
| 56 | 2007 | A consistent computation of magnetization reversal under a circularly polarized field and an anisotropy field | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 57 | 2004 | A consistent numerical scheme for the von Mises mixed-hardening constitutive equations | Chein-Shan Liu | International Journal of Plasticity | | | |
| 58 | 2020 | CONSTRAINT-TYPE FICTITIOUS TIME INTEGRATION METHOD FOR SOLVING NON-LINEAR MULTI-DIMENSIONAL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS | Yung-Wei Chen ; Chein-Shan Liu ; Yen-Shen Chang; Jiang-Ren Chang | Journal of Marine Science and Technology-Taiwan | | 3 | |
| 59 | 2018 | Continuous Sections of the Devonian and Carboniferous Carbonates and Timing of Collision in the Chinese South Tianshan | Biske, Y. S.; Alexeiev, D. V.; Djenchuraeva, A. V.; Wang, B.; Getman, O. F.; Chein-Shan Liu | Doklady Earth Sciences | | | |
| 60 | 2000 | The contraction ratios of perfect elastoplasticity under biaxial controls | Chein-Shan Liu ; Hong, H. K. | European Journal of Mechanics a-Solids | | | |
| 61 | 2000 | Coulomb friction oscillator: Modelling and responses to harmonic loads and base excitations | Hong, H. K.; Chein-Shan Liu | Journal of Sound and Vibration | | | |
| 62 | 2024/11/1 | Decomposition-Linearization-Sequential Homotopy Methods for Nonlinear Differential/Integral Equations | Liu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-Wen | MATHEMATICS | | | |
| 63 | 2013 | Developing an SL(2, R) Lie-group shooting method for a singular phi-Laplacian in a nonlinear ODE | Chein-Shan Liu | Communications in Nonlinear Science and Numerical Simulation | | | |
| 64 | 2014 | Disclosing the Complexity of Nonlinear Ship Rolling and Duffing Oscillators by a Signum Function | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 65 | 2015 | A double optimal descent algorithm for iteratively solving ill-posed linear inverse problems | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 66 | 2015 | A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equations | Chein-Shan Liu | Computers & Mathematics with Applications | | | |
| 67 | 2015 | Double Optimal Regularization Algorithms for Solving Ill-Posed Linear Problems under Large Noise | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 68 | 2014 | A doubly optimized solution of linear equations system expressed in an affine Krylov subspace | Chein-Shan Liu | Journal of Computational and Applied Mathematics | | | |
| 69 | 2011 | Dynamical Newton-Like Methods for Solving III-Conditioned Systems of Nonlinear Equations with Applications to Boundary Value Problems | Wei-Chung Yeih ; Cheng-Yu Ku ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 70 | 2013 | A Dynamical Tikhonov Regularization for Solving Ill-posed Linear Algebraic Systems | Chein-Shan Liu | Acta Applicandae Mathematicae | | | |
| 71 | 2011 | A Dynamical Tikhonov Regularization Method for Solving Nonlinear Ill-Posed Problems | Chein-Shan Liu ; Kuo, C. L. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 72 | 2007 | An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 73 | 2006 | An efficient backward group preserving scheme for the backward in time Burgers equation | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 74 | 2006 | Efficient shooting methods for the second-order ordinary differential equations | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 75 | 2006 | An efficient simultaneous estimation of temperature-dependent thermophysical properties | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 76 | 2024/4/8 | The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula | Liu, Chein-Shan ; Li, Botong | APPLICATIONS OF MATHEMATICS | | | |
| 77 | 2007 | Elastic torsion bar with arbitrary cross-section using the Fredholm integral equations | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 78 | 2015 | Elastoplastic models and oscillators solved by a Lie-group differential algebraic equations method | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 79 | 2020 | An energetic boundary functional method for solving the inverse heat conductivity problems in arbitrary plane domains | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 80 | 2020 | An energetic boundary functional method for solving the inverse source problems of 2D nonlinear elliptic equations | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 81 | 2018 | An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation | Chein-Shan Liu ; Wang, F. J. | Computers & Mathematics with Applications | | | |
| 82 | 2019 | An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations | Chein-Shan Liu ; Chang, C. W. | Communications in Nonlinear Science and Numerical Simulation | | | |
| 83 | 2024/7/1 | Enhance Stability of Successive Over-Relaxation Method and Orthogonalized Symmetry Successive Over-Relaxation in a Larger Range of Relaxation Parameter | Liu, Chein-Shan ; Chang, Chih-Wen | SYMMETRY-BASEL | | | |
| 84 | 2012 | An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 85 | 1997 | Exact solutions and dynamic responses of SDOF bilinear elastoplastic structures | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 86 | 2017 | Exactly determining the expansion coefficients in the recovery of space-dependent pollutant source | Liu, Chein-Shan ; Gu, Yan; Kuo, Chung-Lun | APPL MATH LETT | | 2 | |
| 87 | 2016 | A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domain | Chein-Shan Liu | Computers & Mathematics with Applications | | | |
| 88 | 2017 | A Fast New Algorithm for Solving a Nonlinear Beam Equation under Nonlinear Boundary Conditions | Chein-Shan Liu ; Li, B. T. | Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences | | | |
| 89 | 2016 | Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions | Lin, J.; Chen, C. S.; Chein-Shan Liu ; Lu, J. | Computers & Mathematics with Applications | | | |
| 90 | 2016 | Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions | Lin, J.; Chen, C. S.; Chein-Shan Liu | Communications in Computational Physics | | | |
| 91 | 2018 | Fast Solving the Cauchy Problems of Poisson Equation in an Arbitrary Three-Dimensional Domain | Chein-Shan Liu ; Wang, F. J.; Qu, W. Z. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 92 | 2018 | FAST-CONVERGENCE ITERATIVE ALGORITHMS FOR SOLVING A NONLINEAR BEAM EQUATION WITH AN INTEGRAL TERM SUBJECTED TO DIFFERENT BOUNDARY CONDITIONS | Chein-Shan Liu ; Chang, C. W. | Journal of Marine Science and Technology-Taiwan | | | |
| 93 | 2015 | Fast-multipole accelerated singular boundary method for large-scale three-dimensional potential problems | Gu, Y.; Gao, H. W.; Chen, W.; Chein-Shan Liu ; Zhang, C. Z.; He, X. Q. | International Journal of Heat and Mass Transfer | | | |
| 94 | 2008 | A Fictitious Time Integration Method (FTIM) for Solving Mixed Complementarity Problems with Applications to Non-Linear Optimization | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 95 | 2009 | A Fictitious Time Integration Method for a Quasilinear Elliptic Boundary Value Problem, Defined in an Arbitrary Plane Domain | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 96 | 2009 | A Fictitious Time Integration Method for Backward Advection-Dispersion Equation | Chang, C. W.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 97 | 2009 | A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 98 | 2009 | A Fictitious Time Integration Method for Solving m-Point Boundary Value Problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 99 | 2009 | A Fictitious Time Integration Method for the Burgers Equation | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 100 | 2009 | A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 101 | 2008 | A Fictitious Time Integration Method for Two-Dimensional Quasilinear Elliptic Boundary Value Problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 102 | 2010 | The Fictitious Time Integration Method to Solve the Space- and Time-Fractional Burgers Equations | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 103 | 2015 | Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 104 | 2007 | Five different formulations of the finite strain perfectly plastic equations | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 105 | 2020 | Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method | Chein-Shan Liu ; Li, B. T. | Mathematics and Computers in Simulation | | | |
| 106 | 2009 | The Fourth-Order Group Preserving Methods for the Integrations of Ordinary Differential Equations | Lee, H. C.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 107 | 2006 | Fractal basin of elastic shakedown attractors under cyclic rectilinear generalized strain paths | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 108 | 2002 | Frictional behaviour of a belt-driven and periodically excited oscillator | Chein-Shan Liu ; Chang, W. T. | Journal of Sound and Vibration | | | |
| 109 | 2011 | A Further Study on Using (x) over dot = lambda alpha R+beta P (P = F - R(F center dot R)/parallel to R parallel to(2)) and (x) over dot = lambda alpha F+beta P* (P* = R - F(F center dot R)/parallel to F parallel to(2)) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x)=0 | Chein-Shan Liu ; Dai, H. H.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 110 | 2004 | The g-based Jordan algebra and Lie algebra formulations of the Maxwell equations | Chein-Shan Liu | Journal of Mechanics | | | |
| 111 | 2018 | A General Algorithm on the Natural Vibration Analysis of Composite Beams with Arbitrary Complex Interfaces | Li, B. T.; Chein-Shan Liu ; Zhu, L. L. | Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences | | | |
| 112 | 2005 | Geometrical numerical algorithms for a plasticity model with Armstrong-Frederick kinematic hardening rule under strain and stress | Chein-Shan Liu ; Li, C. F. | International Journal for Numerical Methods in Engineering | | | |
| 113 | 2013 | A GL(n, R) Differential Algebraic Equation Method for Numerical Differentiation of Noisy Signal | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 114 | 2016 | A global boundary integral equation method for recovering space-time dependent heat source | Chein-Shan Liu ; Chang, C. W. | International Journal of Heat and Mass Transfer | | | |
| 115 | 2017 | A global domain/boundary integral equation method for the inverse wave source and backward wave problems | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 116 | 2012 | A Globally Optimal Iterative Algorithm to Solve an Ill-Posed Linear System | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 117 | 2012 | A Globally Optimal Iterative Algorithm Using the Best Descent Vector (x) over dot = lambda alpha F-c + (BF)-F-T , with the Critical Value alpha(c), for Solving a System of Nonlinear Algebraic Equations F(x)=0 | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 118 | 2014 | A globally optimal tri-vector method to solve an ill-posed linear system | Chein-Shan Liu | Journal of Computational and Applied Mathematics | | | |
| 119 | 2004 | Group preserving scheme for backward heat conduction problems | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 120 | 2006 | A group preserving scheme for Burgers equation with very large Reynolds number | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 121 | 2022 | Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | MATHEMATICS | | 1 | |
| 122 | 2018 | Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term | Chein-Shan Liu ; Li, B. T. | Mathematical Methods in the Applied Sciences | | | |
| 123 | 2008 | A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains | Chein-Shan Liu | Numerical Methods for Partial Differential Equations | | | |
| 124 | 2007 | Highly accurate computation of spatial-dependent heat conductivity and heat capacity in inverse thermal problem | Chein-Shan Liu ; Liu, L. W.; Hong, H. K. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 125 | 2024/1/19 | Highly Accurate Golden Section Search Algorithms and Fictitious Time Integration Method for Solving Nonlinear Eigenvalue Problems | Liu, Chein-Shan ; Shen, Jian-Hung; Kuo, Chung-Lun; Chen, Yung-Wei | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | | | |
| 126 | 2010 | A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 127 | 2008 | A highly accurate MCTM for direct and inverse problems of biharmonic equation in arbitrary plane domains | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 128 | 2008 | A Highly Accurate MCTM for Inverse Cauchy Problems of Laplace Equation in Arbitrary Plane Domains | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 129 | 2011 | A Highly Accurate Multi-Scale Full/Half-Order Polynomial Interpolation | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 130 | 2007 | A highly accurate solver for the mixed-boundary potential problem and singular problem in arbitrary plane domain | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 131 | 2009 | A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear Problems | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 132 | 2018 | A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation | Chein-Shan Liu ; Liu, D. J. | Engineering Analysis with Boundary Elements | | | |
| 133 | 2021 | A homogenization function method for inverse heat source problems in 3D functionally graded materials | Qiu, Lin; Lin, Ji; Wang, Fajie; Qin, Qing-Hua; Liu, Chein-Shan | APPLIED MATHEMATICAL MODELLING | | 16 | |
| 134 | - | A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shell | Chein-Shan Liu ; Zhang, Y. M.; Wang, F. J. | Inverse Problems in Science and Engineering | | | |
| 135 | 2021 | A homogenization method to solve inverse Cauchy-Stefan problems for recovering non-smooth moving boundary, heat flux and initial value | Liu, Chein-Shan ; Chang, Jiang-Ren | INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | | 1 | |
| 136 | 2016 | A Homogenized Function to Recover Wave Source by Solving a Small Scale Linear System of Differencing Equations | Chein-Shan Liu ; Chen, W.; Lin, J. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 137 | 2016 | Homogenized functions to recover H(t)/H(x) by solving a small scale linear system of differencing equations | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 138 | 2007 | Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data | Chein-Shan Liu | Numerical Methods for Partial Differential Equations | | | |
| 139 | 2017 | Identifying a rigidity function distributed in static composite beam by the boundary functional method | Chein-Shan Liu | Composite Structures | | | |
| 140 | 2020 | Identifying heat conductivity and source functions for a nonlinear convective-diffusive equation by energetic boundary functional methods | Chein-Shan Liu ; Han-Taw Chen; Jiang-Ren Chang | Numerical Heat Transfer Part B-Fundamentals | | 0 | |
| 141 | 2019 | IDENTIFYING NONLINEAR OSCILLATORS BY AN ENERGETIC FUNCTIONAL IN THE LINEAR SPACE OF TEMPORAL BOUNDARY FUNCTIONS | Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Journal of Marine Science and Technology-Taiwan | | | |
| 142 | 2019 | IDENTIFYING NONLINEAR OSCILLATORS BY AN ENERGETIC FUNCTIONAL IN THE LINEAR SPACE OF TEMPORAL BOUNDARY FUNCTIONS | Liu, Chein-Shan ; Chen, Yung-Wei ; Chang, Jiang-Ren | JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN | | 2 | |
| 143 | 2020 | Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method | Chein-Shan Liu ; Li, B. T. | Journal of Inverse and Ill-Posed Problems | | | |
| 144 | 2008 | Identifying time-dependent damping and stiffness functions by a simple and yet accurate method | Chein-Shan Liu | Journal of Sound and Vibration | | | |
| 145 | 2016 | An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations | Chang, C. W.; Chein-Shan Liu | Applied Mathematical Modelling | | | |
| 146 | 2008 | Improving the ill-conditioning of the method of fundamental solutions for 2D Laplace equation | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 147 | 2025/9/22 | Integral and Numerical Formulations for Seeking the Period of Non-Conservative Nonlinear Oscillator With/Without the First Integral | Liu, Chein-Shan ; Tsai, Chia-Cheng ; Chang, Chih-Wen | SYMMETRY-BASEL | | | |
| 148 | 2016 | An integral equation method to recover non-additive and non-separable heat source without initial temperature | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 149 | 2000 | Intermittent transition to quasiperiodicity demonstrated via a circular differential equation | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 150 | 2004 | Internal symmetry groups for perfect elastoplasticity under axial-torsional loadings | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 151 | 2004 | Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methods | Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 152 | 1999 | Internal symmetry in bilinear elastoplasticity | Hong, H. K.; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 153 | 2000 | Internal symmetry in the constitutive model of perfect elastoplasticity | Hong, H. K.; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 154 | 2011 | An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data | Chein-Shan Liu | Applied Mathematics and Computation | | | |
| 155 | 2015 | An iterative algorithm for identifying heat source by using a DQ and a Lie-group method | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 156 | 2011 | An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F(x)=0, Using the System of ODEs with an Optimum alpha in (x) over dot = lambda alpha F + (1-a)(BF)-F-T ; B-ij = partial derivative F-i/partial derivative x(j) | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 157 | 2010 | An Iterative and Adaptive Lie-Group Method for Solving the Calderon Inverse Problem | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 158 | 2013 | An iterative GL(n, R) method for solving non-linear inverse vibration problems | Chein-Shan Liu | Nonlinear Dynamics | | | |
| 159 | 2017 | An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equation | Chein-Shan Liu | Applied Mathematics Letters | | | |
| 160 | 2014 | AN ITERATIVE METHOD TO RECOVER THE HEAT CONDUCTIVITY FUNCTION OF A NONLINEAR HEAT CONDUCTION EQUATION | Chein-Shan Liu | Numerical Heat Transfer Part B-Fundamentals | | | |
| 161 | 2011 | An Iterative Method Using an Optimal Descent Vector, for Solving an Ill-Conditioned System Bx = b, Better and Faster than the Conjugate Gradient Method | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 162 | 2011 | Iterative Solution of a System of Nonlinear Algebraic Equations F(x)=0, Using (x) over dot = lambda alpha R plus beta P or (x) over dot = lambda alpha F plus beta P* R is a Normal to a Hyper-Surface Function of F, P Normal to R, and P* Normal to F | Chein-Shan Liu ; Dai, H. H.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 163 | 2000 | A Jordan algebra and dynamic system with associator as vector field | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 164 | 2012 | The Jordan Structure of Residual Dynamics Used to Solve Linear Inverse Problems | Chein-Shan Liu ; Zhang, S. Y.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 165 | 2014 | An LGDAE Method to Solve Nonlinear Cauchy Problem Without Initial Temperature | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 166 | 2008 | An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 167 | 2008 | An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 168 | 2004 | Lie group symmetry applied to the computation of convex plasticity constitutive equation | Chein-Shan Liu ; Chang, C. W. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 169 | 2004 | Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrations | Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 170 | 2004 | Lie symmetry of the Landau-Lifshitz-Gilbert equation and exact linearization in the Minkowski space | Chein-Shan Liu | Zeitschrift Fur Angewandte Mathematik Und Physik | | | |
| 171 | 2012 | A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation | Chein-Shan Liu | Acta Mechanica | | | |
| 172 | 2010 | A Lie-Group Adaptive Method for Imaging a Space-Dependent Rigidity Coefficient in an Inverse Scattering Problem of Wave Propagation | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 173 | 2011 | A LIE-GROUP ADAPTIVE METHOD TO IDENTIFY SPATIAL-DEPENDENCE HEAT CONDUCTIVITY COEFFICIENTS | Chein-Shan Liu | Numerical Heat Transfer Part B-Fundamentals | | | |
| 174 | 2011 | A Lie-Group Adaptive Method to Identify the Radiative Coefficients in Parabolic Partial Differential Equations | Chein-Shan Liu ; Chang, C. W. | Cmc-Computers Materials & Continua | | | |
| 175 | 2014 | Lie-group differential algebraic equations method to recover heat source in a Cauchy problem with analytic continuation data | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 176 | 2013 | A Lie-group DSO(n) method for nonlinear dynamical systems | Chein-Shan Liu | Applied Mathematics Letters | | | |
| 177 | 2008 | A Lie-Group Shooting Method Estimating Nonlinear Restoring Forces in Mechanical Systems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 178 | 2011 | The Lie-group shooting method for boundary-layer problems with suction/injection/reverse flow conditions for power-law fluids | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 179 | 2008 | A Lie-group shooting method for computing eigenvalues and eigenfunctions of Sturm-Liouville problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 180 | 2010 | The Lie-Group Shooting Method for Computing the Generalized Sturm-Liouville Problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 181 | 2006 | The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 182 | 2008 | A Lie-group shooting method for post buckling calculations of elastica | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 183 | 2007 | The Lie-Group Shooting Method for Quasi-Boundary Regularization of Backward Heat Conduction Problem | C. W. Chang ; C. S. Liu ; Jiang-Ren Chang | International Conference on Computational & Experimental Engineering and Sciences | | | |
| 184 | 2012 | A Lie-group shooting method for reconstructing a past time-dependent heat source | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 185 | 2008 | A lie-group shooting method for simultaneously estimating the time-dependent damping and stiffness coefficients | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 186 | 2006 | The Lie-group shooting method for singularly perturbed two-point boundary value problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 187 | 2012 | The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems | Chein-Shan Liu | Journal of Optimization Theory and Applications | | | |
| 188 | 2012 | The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems | Chein-Shan Liu | Communications in Nonlinear Science and Numerical Simulation | | | |
| 189 | 2011 | The Lie-group shooting method for solving the Bratu equation | Abbasbandy, S.; Hashemi, M. S.; Chein-Shan Liu | Communications in Nonlinear Science and Numerical Simulation | | | |
| 190 | 2008 | The Lie-group shooting method for thermal stress evaluation through an internal temperature measurement | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 191 | 2022 | Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems | Liu, Chein-Shan ; Chang, Chih-Wen | SYMMETRY-BASEL | | 2 | |
| 192 | 2013 | A Lie-Poisson bracket formulation of plasticity and the computations based on the Lie-group SO(n) | Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 193 | 2025/1/1 | Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators | Liu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-Wen | MATHEMATICS | | | |
| 194 | 2001 | Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity | Hong, H. K.; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 195 | 1999 | Lorentz group SOo(5,1) for perfect elastoplasticity with large deformation and a consistency numerical scheme | Hong, H. K.; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 196 | 2012 | A MANIFOLD-BASED EXPONENTIALLY CONVERGENT ALGORITHM FOR SOLVING NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS | Chein-Shan Liu | Journal of Marine Science and Technology-Taiwan | | | |
| 197 | 2009 | A MATHEMATICAL REVISION OF THE LANDAU-LIFSHITZ EQUATION | Chein-Shan Liu ; Chen, K. C.; Yeh, C. S. | Journal of Marine Science and Technology-Taiwan | | | |
| 198 | 2024/6/1 | Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse | Liu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-Wen | MATHEMATICS | | | |
| 199 | 2014 | A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution | Chein-Shan Liu | Computers & Mathematics with Applications | | | |
| 200 | 2024/7/1 | Maximizing the projection/minimizing the mass gap to choose optimal source points in the MFS for 2D and 3D Laplace equations | Liu, Chein-Shan ; Kuo, Chung-Lun | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | | |
| 201 | 2024/1/1 | Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value Problem | Liu, Chein-Shan ; Chang, Chih-Wen; Kuo, Chung-Lun | SYMMETRY-BASEL | | | |
| 202 | 2018 | A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain | Chein-Shan Liu ; Wang, F. J. | Computers & Mathematics with Applications | | | |
| 203 | 2007 | A meshless regularized integral equation method for laplace equation in arbitrary interior or exterior plane domains | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 204 | 2011 | THE METHOD OF FUNDAMENTAL SOLUTIONS FOR SOLVING THE BACKWARD HEAT CONDUCTION PROBLEM WITH CONDITIONING BY A NEW POST-CONDITIONER | Chein-Shan Liu | Numerical Heat Transfer Part B-Fundamentals | | | |
| 205 | 2013 | A method of Lie-symmetry GL(n,R) for solving non-linear dynamical systems | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 206 | 2015 | A Modified Algorithm of Steepest Descent Method for Solving Unconstraint Nonlinear Optimization Problems | Chein-Shan Liu ; Jiang-Ren Chang ; Yung-Wei Chen | Journal of Marine Science and Technology-Taiwan | | 2 | |
| 207 | 2022 | Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems | Liu, Chein-Shan ; Chang, Chih-Wen | MATHEMATICS AND COMPUTERS IN SIMULATION | | 4 | |
| 208 | 2008 | A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 209 | 2009 | A MODIFIED NEWTON METHOD FOR SOLVING NON-LINEAR ALGEBRAIC EQUATIONS | Atluri, S. N.; Chein-Shan Liu ; Kuo, C. L. | Journal of Marine Science and Technology-Taiwan | | | |
| 210 | 2007 | A modified Trefftz method for two-dimensional Laplace equation considering the domain's characteristic length | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 211 | 2007 | A MRIEM for solving the Laplace equation in the doubly-connected domain | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 212 | 2025 | Multi-Dimensional Analytic Functions for Laplace Equations and Generalized Cauchy-Riemann Equations | Liu, Chein-Shan ; Fu, Zhuojia; Kuo, Chung-Lun | MATHEMATICS | | | |
| 213 | 2014 | A multiple scale time domain collocation method for solving non-linear dynamical system | Dai, H. H.; Yue, X. K.; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 214 | 2016 | A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain | Chein-Shan Liu ; Kuo, C. L. | Journal of Computational Physics | | | |
| 215 | 2016 | A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain | Chein-Shan Liu ; Chen, W.; Fu, Z. J. | Engineering Analysis with Boundary Elements | | | |
| 216 | 2016 | A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems | Chein-Shan Liu ; Young, D. L. | Journal of Computational Physics | | | |
| 217 | 2016 | A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems | Chein-Shan Liu ; Kuo, C. L. | Engineering Analysis with Boundary Elements | | | |
| 218 | 2016 | The multiple-scale polynomial Trefftz method for solving inverse heat conduction problems | Chein-Shan Liu ; Kuo, C. L.; Jhao, W. S. | International Journal of Heat and Mass Transfer | | | |
| 219 | 2013 | A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 220 | 2016 | A multiple/scale/direction polynomial Trefftz method for solving the BHCP in high-dimensional arbitrary simply-connected domains | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 221 | 2010 | A new algorithm for direct and backward problems of heat conduction equation | Chang, C. W.; Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 222 | 2007 | A New Collocation Method for Motz's Problem | Chein-Shan Liu ; Yung-Wei Chen ; Jiang-Ren Chang | International Conference on Computational & Experimental Engineering and Sciences | | | |
| 223 | 2021 | A New Family of Fourth-Order Optimal Iterative Schemes and Remark on Kung and Traub's Conjecture | Liu, Chein-Shan ; Lee, Tsung-Lin | JOURNAL OF MATHEMATICS | | 1 | |
| 224 | 2025/10/10 | New general solutions and MFS methodology of Stokes equations | Liu, Chein-Shan ; Hsu, Tai-Wen ; Tsai, Chia-Cheng | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | | |
| 225 | 2011 | A New Insight into the Differential Quadrature Method in Solving 2-D Elliptic PDEs | Shen, Y. H.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 226 | 2007 | New integrating methods for time-varying linear systems and Lie-group computations | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 227 | 2008 | A New Mathematical Modeling of Maxwell Equations: Complex Linear Operator and Complex Field | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 228 | 2024/2/1 | New Memory-Updating Methods in Two-Step Newton's Variants for Solving Nonlinear Equations with High Efficiency Index | Liu, Chein-Shan ; Chang, Chih-Wen | MATHEMATICS | | | |
| 229 | 2009 | A New Method for Fredholm Integral Equations of 1D Backward Heat Conduction Problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 230 | 2018 | A new method for the deflection analysis of composite beams with periodically varying interfaces | Li, B. T.; Chein-Shan Liu | Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik | | | |
| 231 | 2013 | A New Optimal Iterative Algorithm for Solving Nonlinear Poisson Problems in Heat Diffusion | Chang, C. W.; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 232 | 2012 | A New Optimal Scheme for Solving Nonlinear Heat Conduction Problems | Chang, C. W.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 233 | 2016 | A new regularized boundary integral equation for three-dimensional potential gradient field | Qu, W. Z.; Zhang, Y. M.; Chein-Shan Liu | Advances in Engineering Software | | | |
| 234 | 2014 | A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method | Chein-Shan Liu | Communications in Nonlinear Science and Numerical Simulation | | | |
| 235 | 2025/7/24 | Newly Formulated General Solutions for the Navier Equation in Linear Elasticity | Liu, Chein-Shan ; Kuo, Chung-Lun | MATHEMATICS | | | |
| 236 | 2005 | Non-canonical Minkowski and pseudo-Riemann frames of plasticity models with anisotropic quadratic yield criteria | Chein-Shan Liu ; Chang, C. W. | International Journal of Solids and Structures | | | |
| 237 | 2022 | A Non-Iteration Solution for Solving the Backward-in-Time Two-Dimensional Burgers' Equation with a Large Reynolds Number | Chang, Yen-Shen; Chen, Yung-Wei ; Liu, Chein-Shan ; Chang, Jiang-Ren | JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN | | 2 | |
| 238 | 1999 | Non-oscillation criteria for hypoelastic models under simple shear deformation | Chein-Shan Liu ; Hong, H. K. | Journal of Elasticity | | | |
| 239 | 2025/11/15 | Non-Singular Generalized RBF Solution and Weaker Singularity MFS: Laplace Equation and Anisotropic Laplace Equation | Liu, Chein-Shan ; Kuo, Chung-Lun | MATHEMATICS | | | |
| 240 | 2001 | Non-sticking oscillation formulae for Coulomb friction under harmonic loading | Hong, H. K.; Chein-Shan Liu | Journal of Sound and Vibration | | | |
| 241 | 2015 | A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domain | Chein-Shan Liu | Applied Mathematical Modelling | | | |
| 242 | 2023 | Nonlinear Algebraic Equations Solved by an Optimal Splitting-Linearizing Iterative Method | Liu, Chein-Shan ; El-Zahar, Essam R.; Chen, Yung-Wei | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | | 0 | |
| 243 | 2015 | Nonlinear problems with unknown initial temperature and without final temperature, solved by the GL(N,R) shooting method | Chein-Shan Liu ; Chang, C. W. | International Journal of Heat and Mass Transfer | | | |
| 244 | 2019 | Nonlinear wave inverse source problem solved by a method of m-order homogenization functions | Chein-Shan Liu ; Qiu, L.; Wang, F. J. | Applied Mathematics Letters | | | |
| 245 | 2005 | Nonstandard group-preserving schemes for very stiff ordinary differential equations | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 246 | 2010 | Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems | Chein-Shan Liu ; Hong, H. K.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 247 | 2008 | A Novel Fictitious Time Integration Method for Solving the Discretized Inverse Sturm-Liouville Problems, For Specified Eigenvalues | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 248 | 2015 | A novel Lie-group theory and complexity of nonlinear dynamical systems | Chein-Shan Liu | Communications in Nonlinear Science and Numerical Simulation | | | |
| 249 | 2019 | Novel method for analyzing the behavior of composite beams with non-smooth interfaces | Chein-Shan Liu ; Li, B. T.; Kuo, C. L. | International Journal of Mechanics and Materials in Design | | 2 | |
| 250 | 2009 | NOVEL METHODS FOR SOLVING SEVERELY ILL-POSED LINEAR EQUATIONS SYSTEM | Chein-Shan Liu ; Chang, C. W. | Journal of Marine Science and Technology-Taiwan | | | |
| 251 | 2012 | A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains | Chein-Shan Liu ; Chang, C. W. | Engineering Analysis with Boundary Elements | | | |
| 252 | 2022 | A novel perturbation method to approximate the solution of nonlinear ordinary differential equation after being linearized to the Mathieu equation | Liu, Chein-Shan ; Chang, Chih-Wen | MECHANICAL SYSTEMS AND SIGNAL PROCESSING | | 1 | |
| 253 | 2019 | A novel space-time meshless method for solving the backward heat conduction problem | Cheng-Yu Ku ; Chih-Yu Liu; Wei-Chung Yeih ; Chein-Shan Liu ; Chia-Ming Fan | International Journal of Heat and Mass Transfer | | 18 | |
| 254 | 2008 | A novel time integration method for solving a large system of non-linear algebraic equations | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 255 | 2018 | A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain | Lin, J.; Chein-Shan Liu ; Chen, W.; Sun, L. L. | Journal of Computational Science | | | |
| 256 | 2017 | A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation | Chein-Shan Liu ; Qu, W. Z.; Chen, W.; Lin, J. | Inverse Problems in Science and Engineering | | | |
| 257 | 2024/4/1 | Numerical Analysis for Sturm-Liouville Problems with Nonlocal Generalized Boundary Conditions | Liu, Chein-Shan ; Chang, Chih-Wen; Kuo, Chung-Lun | MATHEMATICS | | | |
| 258 | 2018 | Numerical analysis of heat transfer in arbitrary plane domains using a novel Trefftz energy method | Wang, F. J.; Chein-Shan Liu ; Qu, W. Z. | Numerical Heat Transfer Part B-Fundamentals | | | |
| 259 | 2022 | Numerical and Approximate Analytic Solutions of Second-order Nonlinear Boundary Value Problems | Liu, Chein-Shan ; Shen, Jian-Hung; Chen, Yung-Wei | JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN | | 0 | |
| 260 | 2017 | Numerical and experimental study of natural convection heat transfer characteristics for vertical annular finned tube heat exchanger | Chen, H. T.; Chiu, Y. J.; Jiang-Ren Chang ; Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 261 | 2017 | Numerical simulation of 3D nonlinear Schrodinger equations by using the localized method of approximate particular solutions | Lin, J.; Hong, Y. X.; Kuo, L. H.; Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 262 | 2012 | Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method | Wei-Chung Yeih ; Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Engineering Analysis with Boundary Elements | | | |
| 263 | 2013 | Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method | Chein-Shan Liu ; Atluri, S. N. | Engineering Analysis with Boundary Elements | | | |
| 264 | 2015 | Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method | Cheng-Yu Ku ; Chung Lun Kuo ; Chia-Ming Fan ; Chein-Shan Liu ; Pai-Chen Guan | Engineering Analysis with Boundary Elements | | 26 | |
| 265 | 2018 | Numerically solving twofold ill-posed inverse problems of heat equation by the adjoint Trefftz method | Chein-Shan Liu ; Qu, W. Z.; Zhang, Y. M. | Numerical Heat Transfer Part B-Fundamentals | | | |
| 266 | 1998 | On behavior of perfect elastoplasticity under rectilinear paths | Hong, H. K.; Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 267 | 2010 | On Solving the Direct/Inverse Cauchy Problems of Laplace Equation in a Multiply Connected Domain, Using the Generalized Multiple-Source-Point Boundary-Collocation Trefftz Method & Characteristic Lengths | Wei-Chung Yeih ; Kuo, C. L.; Atluri, S. N.; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 268 | 2009 | On Solving the Ill-Conditioned System Ax = b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales | Wei-Chung Yeih ; Atluri, S. N.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 269 | 2014 | On-line detecting heat source of a nonlinear heat conduction equation by a differential algebraic equation method | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 270 | 2006 | One-step GPS for the estimation of temperature-dependent thermal conductivity | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 271 | 2014 | Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems | Chein-Shan Liu | Journal of Applied Mathematics | | | |
| 272 | 2014 | Optimal algorithms in a Krylov subspace for solving linear inverse problems by MFS | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 273 | 2024/6/1 | Optimal Combination of the Splitting-Linearizing Method to SSOR and SAOR for Solving the System of Nonlinear Equations | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | MATHEMATICS | | | |
| 274 | 2012 | The Optimal Control Problem of Nonlinear Duffing Oscillator Solved by the Lie-Group Adaptive Method | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 275 | 2013 | An Optimal Multi-Vector Iterative Algorithm in a Krylov Subspace for Solving the Ill-Posed Linear Inverse Problems | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 276 | 2013 | An Optimal Preconditioner with an Alternate Relaxation Parameter Used to Solve Ill-Posed Linear Problems | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 277 | 2014 | Optimal scale polynomial interpolation technique for obtaining periodic solutions to the Duffing oscillator | Yue, X. K.; Dai, H. H.; Chein-Shan Liu | Nonlinear Dynamics | | | |
| 278 | 2024/1/15 | Optimal Shape Factor and Fictitious Radius in the MQ-RBF: Solving Ill-Posed Laplacian Problems | Liu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-Wen | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | | | |
| 279 | 2018 | Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional | Chein-Shan Liu ; Liu, D. J. | Applied Mathematics Letters | | | |
| 280 | 2018 | Optimal sources in the MFS by minimizing a new merit function: Energy gap functional | Wang, F. J.; Chein-Shan Liu ; Qu, W. Z. | Applied Mathematics Letters | | | |
| 281 | 2013 | An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 282 | 2012 | Optimally Generalized Regularization Methods for Solving Linear Inverse Problems | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 283 | 2013 | An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems | Chein-Shan Liu | Journal of Applied Mathematics | | | |
| 284 | 2012 | Optimally scaled vector regularization method to solve ill-posed linear problems | Chein-Shan Liu | Applied Mathematics and Computation | | | |
| 285 | 2025/10/1 | Optimization of Bai-Parlett-Wang's iteration method for solving saddle-point linear systems with applications to 2D Stokes flow problems | Liu, Chein-Shan ; Hong, Hong-Ki; Tsai, Chia-Cheng | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | | |
| 286 | 1997 | Orientation control of particles and fibers for polymeric liquids and fiber reinforced materials | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 287 | 2020 | Overcoming the near boundary error in the solution of non-homogeneous wave equation by a boundary consistent method | Chein-Shan Liu ; Wang, F. J. | European Physical Journal Plus | | | |
| 288 | 2006 | Past cone dynamics and backward group preserving schemes for backward heat conduction problems | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 289 | 2022 | Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function Method | Liu, Chein-Shan ; Chang, Chih-Wen; Chen, Yung-Wei ; Chang, Yen-Shen | SYMMETRY-BASEL | | 2 | |
| 290 | 2025/12/13 | Periodic problems of unforced/periodically-forced nonlinear oscillators: Theoretical formulation and boundary shape function method | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | MECHANICAL SYSTEMS AND SIGNAL PROCESSING | | | |
| 291 | 2023 | Periodic solutions of nonlinear ordinary differential equations computed by a boundary shape function method and a generalized derivative-free Newton method | Liu, Chein-Shan ; Chang, Chih-Wen | MECHANICAL SYSTEMS AND SIGNAL PROCESSING | | 0 | |
| 292 | 2002 | Planar double-slip model for polycrystal plasticity and micro tension tests of pure nickel and copper | Hong, H. K.; Chein-Shan Liu ; Shiao, Y. P.; Shih, B. C. | Journal of Engineering Materials and Technology-Transactions of the Asme | | | |
| 293 | 2017 | The polynomial Trefftz method for solving backward and inverse source wave problems | Chein-Shan Liu | Journal of Computational and Applied Mathematics | | | |
| 294 | 1997 | Prandtl-Reuss elastoplasticity: On-off switch and superposition formulae | Hong, H. K.; Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 295 | 2014 | The pre/post equilibrated conditioning methods to solve Cauchy problems | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 296 | 2023/11/15 | Precise eigenvalues in the solutions of generalized Sturm-Liouville problems | Liu, Chein-Shan ; Chen, Yung-Wei ; Chang, Chih-Wen | MATHEMATICS AND COMPUTERS IN SIMULATION | | | |
| 297 | 2006 | Preserving constraints of differential equations by numerical methods based on integrating factors | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 298 | 2025/12/1 | Projective solutions method for solving multi-dimensional anisotropic Laplace equation, modified Helmholtz equation, and diffusion-advection equation | Liu, Chein-Shan ; Tsai, Chia-Cheng ; Kuo, Chung-Lun | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | | |
| 299 | 2023/11/8 | Pseudo and anisotropic MFS for Laplace equation and optimal sources using maximal projection method with a substitution function | Liu, Chein-Shan ; Kuo, Chung-Lun | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | | |
| 300 | 2010 | A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Advection-Dispersion Equation | Chang, C. W.; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 301 | 2019 | An R(x)-orthonormal theory for the vibration performance of a non-smooth symmetric composite beam with complex interface | Chein-Shan Liu ; Li, B. T. | Acta Mechanica Sinica | | | |
| 302 | 2024/11/1 | Rapid computation of Hopf bifurcation points of continuous and discrete systems through minimization | Liu, Chein-Shan ; Chang, Chih-Wen | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | | | |
| 303 | 2020 | Rayleigh quotient and orthogonality in the linear space of boundary functions, finding accurate upper bounds of natural frequencies of non-uniform beams | Chein-Shan Liu ; Li, B. T. | Archive of Applied Mechanics | | | |
| 304 | 2016 | A real-time Lie-group differential algebraic equations method to solve the inverse nonlinear vibration problems | Chein-Shan Liu ; Chang, C. W. | Inverse Problems in Science and Engineering | | | |
| 305 | 2006 | Reconcile the perfectly elastoplastic model to simulate the cyclic behavior and ratcheting | Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 306 | 2017 | Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method | Chein-Shan Liu ; Li, B. T. | Applied Mathematics Letters | | | |
| 307 | 2012 | Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting method | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 308 | 2017 | Recovering a general space-time-dependent heat source by the coupled boundary integral equation method | Chein-Shan Liu ; Liu, D. J. | Numerical Heat Transfer Part B-Fundamentals | | | |
| 309 | 2015 | Recovering A Heat Source and Initial Value by a Lie-Group Differential Algebraic Equations Method | Kuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu | Numerical Heat Transfer Part B-Fundamentals | | | |
| 310 | 2018 | Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation | Jiang-Ren Chang ; Chein-Shan Liu | Applied Mathematics Letters | | | |
| 311 | 2017 | Recovering both the space-dependent heat source and the initial temperature by using a fast convergent iterative method | Chein-Shan Liu ; Kuo, C. L.; Wang, F. J. | Numerical Heat Transfer Part B-Fundamentals | | | |
| 312 | 2021 | Recovering external forces on vibrating Euler-Bernoulli beams using boundary shape function methods | Liu, Chein-Shan ; Chung-Lun Kuo ; Chang, Chih-Wen | Mechanical Systems and Signal Processing | | 3 | |
| 313 | 2021 | Recovering temperature-dependent heat conductivity in 2D and 3D domains with homogenization functions as the bases | Lin, Ji; Liu, Chein-Shan | ENGINEERING WITH COMPUTERS | | 8 | |
| 314 | 2020 | Reducing the near boundary errors of nonhomogeneous heat equations by boundary consistent methods | Liu, Chein-Shan ; Chang, Chih-Wen | IMA JOURNAL OF APPLIED MATHEMATICS | | 0 | |
| 315 | 2008 | A regularized integral equation method for the inverse geometry heat conduction problem | Chein-Shan Liu ; Chang, C. W.; Chiang, C. Y. | International Journal of Heat and Mass Transfer | | | |
| 316 | 2006 | Reid's passive and semi-active hysteretic oscillators with friction force dependence on displacement | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 317 | 2011 | A Revision of Relaxed Steepest Descent Method from the Dynamics on an Invariant Manifold | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 318 | 2010 | The Scalar Homotopy Method for Solving Non-Linear Obstacle Problem | Chia-Ming Fan ; Chein-Shan Liu ; Wei-Chung Yeih ; Hsin-Fang Chan | Cmc-Computers Materials & Continua | | | |
| 319 | 2016 | A scheme of automatic stress-updating on yield surfaces for a class of elastoplastic models | Chein-Shan Liu ; Liu, L. W.; Hong, H. K. | International Journal of Non-Linear Mechanics | | | |
| 320 | 2011 | A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 321 | 2011 | Simple "Residual-Norm" Based Algorithms, for the Solution of a Large System of Non-Linear Algebraic Equations, which Converge Faster than the Newton's Method | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 322 | 2015 | A simple algorithm for solving Cauchy problem of nonlinear heat equation without initial value | Chein-Shan Liu ; Chang, C. W. | International Journal of Heat and Mass Transfer | | | |
| 323 | 2018 | A simple noniterative method for recovering a space-dependent load on the Euler-Bernoulli beam equation | Chein-Shan Liu ; Jhao, W. S.; Chang, C. W. | Mathematical Methods in the Applied Sciences | | | |
| 324 | 2016 | A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equation | Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 325 | 2021 | A Simplified Lindstedt-Poincare Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations | Liu, Chein-Shan ; Chen, Yung-Wei | MATHEMATICS | | 7 | |
| 326 | 2020 | Simulating thin plate bending problems by a family of two-parameter homogenization functions | Chein-Shan Liu ; Qiu, L.; Lin, J. | Applied Mathematical Modelling | | | |
| 327 | 2008 | Simultaneously estimating the time-dependent damping and stiffness coefficients with the aid of vibrational data | Jiang-Ren Chang ; Chang, K. H.; Chein-Shan Liu ; Yung-Wei Chen | Cmc-Computers Materials & Continua | | | |
| 328 | 2013 | An SL(3,R) shooting method for solving the Falkner-Skan boundary layer equation | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 329 | 2014 | A Sliding Mode Control Algorithm for Solving an Ill-posed Positive Linear System | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 330 | 2003 | Smoothing elastoplastic stress-strain curves obtained by a critical modification of conventional models | Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 331 | 2014 | The Solution of SO(3) through a Single Parameter ODE | Chein-Shan Liu | Journal of Applied Mathematics | | | |
| 332 | 2019 | Solving a nonlinear convection-diffusion equation with source and moving boundary both unknown by a family of homogenization functions | Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | International Journal of Heat and Mass Transfer | | | |
| 333 | 2021 | Solving a nonlinear heat equation with nonlocal boundary conditions by a method of nonlocal boundary shape functions | Liu, Chein-Shan ; Chang, Jiang-Ren | NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | | 2 | |
| 334 | 2020 | Solving a nonlinear inverse Sturm-Liouville problem with nonlinear convective term using a boundary functional method | Chein-Shan Liu ; Li, B. T.; Liu, S. L. | Inverse Problems in Science and Engineering | | | |
| 335 | 2021 | Solving a singular beam equation by the method of energy boundary functions | Liu, Chein-Shan ; Li, Botong | MATHEMATICS AND COMPUTERS IN SIMULATION | | 2 | |
| 336 | 2017 | Solving a singular beam equation by using a weak-form integral equation method | Chein-Shan Liu ; Liu, D. J.; Jhao, W. S. | Applied Mathematics Letters | | | |
| 337 | 2008 | Solving an inverse Sturm-Liouville problem by a Lie-group method | Chein-Shan Liu | Boundary Value Problems | | | |
| 338 | 2020 | Solving heat equations under convection boundary conditions by a high-performance space-time boundary shape functions method | Chein-Shan Liu ; Qiu, L.; Lin, J. | Numerical Heat Transfer Part B-Fundamentals | | | |
| 339 | 2015 | Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method | Kuo, C. L.; Wei-Chung Yeih ; Jiang-Ren Chang ; Chein-Shan Liu | Engineering Analysis with Boundary Elements | | | |
| 340 | 2025/6/1 | Solving higher-order nonlocal boundary value problems with high precision by the fixed quasi Newton methods | Liu, Chein-Shan ; Chen, Yung-Wei ; Shen, Jian-Hung; Chang, Yen-Shen | MATHEMATICS AND COMPUTERS IN SIMULATION | | | |
| 341 | 2018 | Solving inverse coefficient problems of non-uniform fractionally diffusive reactive material by a boundary functional method | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 342 | 2022 | Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two Parameters | Lu, Jun; Shi, Lianpeng; Liu, Chein-Shan ; Chen, C. S. | MATHEMATICS | | 1 | |
| 343 | 2017 | Solving Mechanical Systems with Nonholonomic Constraints by a Lie-Group Differential Algebraic Equations Method | Chein-Shan Liu ; Chen, W.; Liu, L. W. | Journal of Engineering Mechanics | | | |
| 344 | 2010 | Solving Non-Linear Algebraic Equations by a Scalar Newton-homotopy Continuation Method | Wei-Chung Yeih ; Cheng-Yu Ku ; Chein-Shan Liu | International Journal of Nonlinear Sciences and Numerical Simulation | | | |
| 345 | 2022 | Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | | 0 | |
| 346 | 2022 | Solving Nonlinear Boundary Value Problems with Nonlinear Integral Boundary Conditions by Local and Nonlocal Boundary Shape Functions Methods | Liu, Chein-Shan ; Chen, Yung-Wei ; Shen, Jian-Hung | JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN | | 0 | |
| 347 | 2013 | Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group Method | Chein-Shan Liu | Journal of Applied Mathematics | | | |
| 348 | 2021 | Solving nonlinear elliptic equations in arbitrary plane domains by using a new splitting and linearization technique | Liu, Chein-Shan ; El-Zahar, Essam R.; Chen, Yung-Wei | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | 2 | |
| 349 | 2022 | Solving nonlinear parabolic equations under nonlocal conditions by a nonlocal boundary shape function and splitting-linearizing method | Liu, Chein-Shan ; Chang, Chih-Wen | NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | | 0 | |
| 350 | 2018 | Solving nonlinear singularly perturbed problems by fractional order exponential trial functions | Chein-Shan Liu ; Chang, C. W. | Applied Mathematics Letters | | | |
| 351 | 2021 | Solving nonlinear third-order boundary value problems based-on boundary shape functions | Liu, Chein-Shan ; Chang, Jiang-Ren | INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | | 1 | |
| 352 | 2021 | Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods | Lin, Ji; Zhang, Yuhui; Liu, Chein-Shan | ADVANCES IN DIFFERENCE EQUATIONS | | 6 | |
| 353 | 2020 | Solving second-order nonlinear boundary value problem with nonlinear boundary conditions by an iterative method | Liu, Chein-Shan ; Chang, Jiang-Ren | ENGINEERING COMPUTATIONS | | 4 | |
| 354 | 2019 | Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions | Chein-Shan Liu ; Li, B. T. | Applications of Mathematics | | | |
| 355 | 2019 | Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions | Liu, Chein-Shan ; Li, Botong | APPLICATIONS OF MATHEMATICS | | 8 | |
| 356 | 2018 | Solving singular convection-diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functions | Chein-Shan Liu | Journal of King Saud University Science | | | |
| 357 | 2018 | Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions | Chein-Shan Liu | Applied Mathematics and Computation | | | |
| 358 | 2022 | Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method | Liu, Chein-Shan ; Qiu, Lin | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | | 1 | |
| 359 | 2019 | Solving the 3D Cauchy problems of nonlinear elliptic equations by the superposition of a family of 3D homogenization functions | Chein-Shan Liu ; Chang, C. W. | Engineering Analysis with Boundary Elements | | | |
| 360 | 2021 | Solving the boundary layer problems with buoyancy effect over a moving and permeable plate by a boundary shape function method | Liu, Chein-Shan ; Qiu, Lin; Li, Botong; Liu, Shiwen | EUROPEAN PHYSICAL JOURNAL PLUS | | 0 | |
| 361 | 2023 | Solving the fourth-order nonlinear boundary value problem by a boundary shape function method | Liu, Chein-Shan ; Li, Botong | CANADIAN JOURNAL OF PHYSICS | | | |
| 362 | 2019 | Solving the higher-dimensional nonlinear inverse heat source problems by the superposition of homogenization functions method | Chein-Shan Liu ; Qiu, L.; Lin, J. | International Journal of Heat and Mass Transfer | | | |
| 363 | 2019 | Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method | Chein-Shan Liu ; Chang, C. W. | Applied Mathematics Letters | | | |
| 364 | 2009 | Solving the Inverse Problems of Laplace Equation to Determine the Robin Coefficient/Cracks' Position Inside a Disk | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 365 | 2020 | Solving the Optimal Control Problems of Nonlinear Duffing Oscillators By Using an Iterative Shape Functions Method | Kuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 366 | 2011 | Solving two typical inverse Stefan problems by using the Lie-group shooting method | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 367 | 2001 | Some physical models with Minkowski spacetime structure and Lorentz group symmetry | Hong, H. K.; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 368 | 2021 | A splitting method to solve a single nonlinear equation with derivative-free iterative schemes | Liu, Chein-Shan ; Hong, Hong-Ki; Lee, Tsung-Lin | MATHEMATICS AND COMPUTERS IN SIMULATION | | 10 | |
| 369 | 2011 | A Spring-Damping Regularization and a Novel Lie-Group Integration Method for Nonlinear Inverse Cauchy Problems | Chein-Shan Liu ; Kuo, C. L. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 370 | 2011 | The Spring-Damping Regularization Method and the Lie-Group Shooting Method for Inverse Cauchy Problems | Chein-Shan Liu ; Kuo, C. L.; Liu, D. J. | Cmc-Computers Materials & Continua | | | |
| 371 | - | A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation | Chein-Shan Liu ; Chang, C. W. | Inverse Problems in Science and Engineering | | | |
| 372 | 2019 | Static and dynamic flame model effects on thermal buckling: Fixed-roof tanks adjacent to an ethanol pool-fire | Li, Y. H.; Jiang, J. C.; Zhang, Q. W.; Yu, Y.; Wang, Z. R.; Chein-Shan Liu ; Shu, C. M. | Process Safety and Environmental Protection | | | |
| 373 | 2004 | The steady state responses of s.d.o.f. viscous elasto-plastic oscillator under sinusoidal loadings | Chein-Shan Liu ; Huang, Z. M. | Journal of Sound and Vibration | | | |
| 374 | 2003 | The steady-state behavior of the prandtl-reuss material bifurcated under nonproportional circular strain paths | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 375 | 2002 | The steady-state responses of a bilinear elastoplastic oscillator under sinusoidal loading | Chein-Shan Liu | Journal of the Chinese Institute of Engineers | | | |
| 376 | 2006 | Steady-state responses of a compliant friction slider under harmonic excitations | Chein-Shan Liu ; Su, P. J. | Journal of the Chinese Institute of Engineers | | | |
| 377 | 2007 | A study of type I intermittency of a circular differential equation under a discontinuous right-hand side | Chein-Shan Liu | Journal of Mathematical Analysis and Applications | | | |
| 378 | 2003 | Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticity | Chein-Shan Liu | International Journal of Solids and Structures | | | |
| 379 | 2024/2/1 | A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems | Liu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-Wen | SYMMETRY-BASEL | | | |
| 380 | 2010 | The Backward Group Preserving Scheme for 1D Backward in Time Advection-Dispersion Equation | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Numerical Methods for Partial Differential Equations | | | |
| 381 | 2006 | THE LIE-GROUP SHOOTING METHOD FOR BOUNDARY LAYER EQUATIONS IN FLUID MECHANICS | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Journal of Hydrodynamics | | | |
| 382 | 2008 | The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions | Jiang-Ren Chang ; Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 383 | 2008 | The Lie-group shooting method for solving classical Blasius flat-plate problem | Chang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 384 | 2006 | THE LIE-GROUP SHOOTING METHOD FOR STEADY-STATE BURGERS EQUATION WITH HIGH REYNOLDS NUMBER | Jiang-Ren Chang ; Chang, C. W.; Chein-Shan Liu | Journal of Hydrodynamics | | | |
| 385 | 2016 | The modified polynomial expansion method for identifying the time dependent heat source in two-dimensional heat conduction problems | Kuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 386 | 2013 | The Modified Polynomial Expansion Method for Solving the Inverse Heat Source Problems | Kuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu | Numerical Heat Transfer Part B-Fundamentals | | | |
| 387 | 2020 | The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method | Jiang-Ren Chang ; Chein-Shan Liu | Applied Mathematics Letters | | | |
| 388 | 2016 | The recovery of external force in nonlinear system by using a weak-form integral method | Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Nonlinear Dynamics | | | |
| 389 | 2018 | THE TREFFTZ TEST FUNCTIONS METHOD FOR SOLVING THE GENERALIZED INVERSE BOUNDARY VALUE PROBLEMS OF LAPLACE EQUATION | Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen | Journal of Marine Science and Technology-Taiwan | | | |
| 390 | 2025/2/1 | Third-order MFS for solving two-dimensional Stokes flow problems | Liu, Chein-Shan ; Fan, Chia-Ming ; Kuo, Chung-Lun | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | | | |
| 391 | 2013 | A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, R) Lie-Group Shooting Method | Chein-Shan Liu | Journal of Applied Mathematics | | | |
| 392 | 2021 | Three novel fifth-order iterative schemes for solving nonlinear equations | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | MATHEMATICS AND COMPUTERS IN SIMULATION | | 3 | |
| 393 | 2008 | A Time-Marching Algorithm for Solving Non-Linear Obstacle Problems with the Aid of an NCP-Function | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 394 | 2016 | To recover heat source G(x) plus H(t) by using the homogenized function and solving rectangular differencing equations | Chein-Shan Liu | Numerical Heat Transfer Part B-Fundamentals | | | |
| 395 | 2022 | To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions | Liu, Chein-Shan ; Chang, Chih-Wen; Chen, Yung-Wei ; Shen, Jian-Hung | MATHEMATICS | | 0 | |
| 396 | 2014 | To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integrator | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 397 | 2018 | Trefftz energy method for solving the Cauchy problem of the Laplace equation | Chein-Shan Liu ; Wang, F. J.; Gu, Y. | Applied Mathematics Letters | | | |
| 398 | 2024/4/29 | The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functions | Liu, Chein-Shan ; Kuo, Chung-Lun | ENGINEERING WITH COMPUTERS | | | |
| 399 | 2019 | A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation | Chein-Shan Liu ; Wang, F. J.; Gu, Y. | Applied Mathematics Letters | | | |
| 400 | 2007 | Two complementary trios material model and experimental simulations of SAE 4340 and RHA | Chein-Shan Liu ; Hong, H. K.; Shiao, Y. P. | Journal of Mechanics of Materials and Structures | | | |
| 401 | 2003 | Two-dimensional bilinear oscillator: group-preserving scheme and steady-state motion under harmonic loading | Chein-Shan Liu | International Journal of Non-Linear Mechanics | | | |
| 402 | 2003 | Two-dimensional friction oscillator: group-preserving scheme and handy formulae | Chein-Shan Liu ; Hong, H. K.; Liou, D. Y. | Journal of Sound and Vibration | | | |
| 403 | 2023 | A Two-Dimensional Variant of Newton's Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes | Liu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-Wen | MATHEMATICS | | | |
| 404 | 2022 | Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equations | Liu, Dongjie; Liu, Chein-Shan | MATHEMATICS AND COMPUTERS IN SIMULATION | | 0 | |
| 405 | 2013 | A Two-Side Equilibration Method to Reduce the Condition Number of an Ill-Posed Linear System | Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 406 | 2008 | A two-stage LGSM for three-point BVPs of second-order ODEs | Chein-Shan Liu | Boundary Value Problems | | | |
| 407 | 2009 | A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 408 | 2010 | A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity | Chein-Shan Liu | International Journal of Heat and Mass Transfer | | | |
| 409 | 2013 | Upconversion Luminescence and Photodegradation Performances of Pr Doped Y2SiO5 Nanomaterials | Yang, Y.; Chein-Shan Liu ; Mao, P.; Wang, L. J. | Journal of Nanomaterials | | | |
| 410 | 2024/4/1 | Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations | Liu, Chein-Shan ; Chang, Chih-Wen | MATHEMATICS | | | |
| 411 | 2017 | An upper bound theory to approximate the natural frequencies and parameters identification of composite beams | Chein-Shan Liu ; Li, B. T. | Composite Structures | | | |
| 412 | 2011 | Using a Lie-Group Adaptive Method for the Identification of a Nonhomogeneous Conductivity Function and Unknown Boundary Data | Chein-Shan Liu | Cmc-Computers Materials & Continua | | | |
| 413 | 2001 | Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticity | Chein-Shan Liu ; Hong, H. K. | International Journal of Solids and Structures | | | |
| 414 | 2025/2/1 | Variational Iteration and Linearized Liapunov Methods for Seeking the Analytic Solutions of Nonlinear Boundary Value Problems | Liu, Chein-Shan ; Li, Botong; Kuo, Chung-Lun | MATHEMATICS | | | |
| 415 | 2014 | A vector regularization method to solve linear inverse problems | Chein-Shan Liu | Inverse Problems in Science and Engineering | | | |
| 416 | 2018 | Vibration Analysis of Composite Beams with Sinusoidal Periodically Varying Interfaces | Li, B. T.; Chein-Shan Liu ; Zhu, L. L. | Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences | | | |
