研究成果

第 1 到 419 筆結果，共 419 筆。

公開日期標題作者來源出版物scopusWOS全文
12025/9/22Integral and Numerical Formulations for Seeking the Period of Non-Conservative Nonlinear Oscillator With/Without the First IntegralLiu, Chein-Shan ; Tsai, Chia-Cheng ; Chang, Chih-WenSYMMETRY-BASEL
22025/7/24Newly Formulated General Solutions for the Navier Equation in Linear ElasticityLiu, Chein-Shan ; Kuo, Chung-LunMATHEMATICS
32025/6/1Solving higher-order nonlocal boundary value problems with high precision by the fixed quasi Newton methodsLiu, Chein-Shan ; Chen, Yung-Wei ; Shen, Jian-Hung; Chang, Yen-ShenMATHEMATICS AND COMPUTERS IN SIMULATION
42025/2/1Variational Iteration and Linearized Liapunov Methods for Seeking the Analytic Solutions of Nonlinear Boundary Value ProblemsLiu, Chein-Shan ; Li, Botong; Kuo, Chung-LunMATHEMATICS
52025/2/1Third-order MFS for solving two-dimensional Stokes flow problemsLiu, Chein-Shan ; Fan, Chia-Ming ; Kuo, Chung-LunENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
62025/12/13Periodic problems of unforced/periodically-forced nonlinear oscillators: Theoretical formulation and boundary shape function methodLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMECHANICAL SYSTEMS AND SIGNAL PROCESSING
72025/12/1Projective solutions method for solving multi-dimensional anisotropic Laplace equation, modified Helmholtz equation, and diffusion-advection equationLiu, Chein-Shan ; Tsai, Chia-Cheng ; Kuo, Chung-LunENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
82025/11/15Non-Singular Generalized RBF Solution and Weaker Singularity MFS: Laplace Equation and Anisotropic Laplace EquationLiu, Chein-Shan ; Kuo, Chung-LunMATHEMATICS
92025/10/10New general solutions and MFS methodology of Stokes equationsLiu, Chein-Shan ; Hsu, Tai-Wen ; Tsai, Chia-Cheng ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
102025/10/1Optimization of Bai-Parlett-Wang's iteration method for solving saddle-point linear systems with applications to 2D Stokes flow problemsLiu, Chein-Shan ; Hong, Hong-Ki; Tsai, Chia-Cheng ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
112025/1/1Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear OscillatorsLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenMATHEMATICS
122025Multi-Dimensional Analytic Functions for Laplace Equations and Generalized Cauchy-Riemann EquationsLiu, Chein-Shan ; Fu, Zhuojia; Kuo, Chung-LunMATHEMATICS
132024/7/1Maximizing the projection/minimizing the mass gap to choose optimal source points in the MFS for 2D and 3D Laplace equationsLiu, Chein-Shan ; Kuo, Chung-LunENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
142024/7/1Enhance Stability of Successive Over-Relaxation Method and Orthogonalized Symmetry Successive Over-Relaxation in a Larger Range of Relaxation ParameterLiu, Chein-Shan ; Chang, Chih-WenSYMMETRY-BASEL
152024/6/1Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and PseudoinverseLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenMATHEMATICS
162024/6/1Optimal Combination of the Splitting-Linearizing Method to SSOR and SAOR for Solving the System of Nonlinear EquationsLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS
172024/4/8The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formulaLiu, Chein-Shan ; Li, BotongAPPLICATIONS OF MATHEMATICS
182024/4/29The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functionsLiu, Chein-Shan ; Kuo, Chung-LunENGINEERING WITH COMPUTERS
192024/4/1Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear EquationsLiu, Chein-Shan ; Chang, Chih-WenMATHEMATICS
202024/4/1Numerical Analysis for Sturm-Liouville Problems with Nonlocal Generalized Boundary ConditionsLiu, Chein-Shan ; Chang, Chih-Wen; Kuo, Chung-LunMATHEMATICS
212024/2/1A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion ProblemsLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenSYMMETRY-BASEL
222024/2/1New Memory-Updating Methods in Two-Step Newton's Variants for Solving Nonlinear Equations with High Efficiency IndexLiu, Chein-Shan ; Chang, Chih-WenMATHEMATICS
232024/11/1Rapid computation of Hopf bifurcation points of continuous and discrete systems through minimizationLiu, Chein-Shan ; Chang, Chih-WenINTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
242024/11/1Decomposition-Linearization-Sequential Homotopy Methods for Nonlinear Differential/Integral EquationsLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenMATHEMATICS
252024/1/19Highly Accurate Golden Section Search Algorithms and Fictitious Time Integration Method for Solving Nonlinear Eigenvalue ProblemsLiu, Chein-Shan ; Shen, Jian-Hung; Kuo, Chung-Lun; Chen, Yung-Wei CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
262024/1/15Optimal Shape Factor and Fictitious Radius in the MQ-RBF: Solving Ill-Posed Laplacian ProblemsLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenCMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
272024/1/1Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value ProblemLiu, Chein-Shan ; Chang, Chih-Wen; Kuo, Chung-LunSYMMETRY-BASEL
282023/11/8Pseudo and anisotropic MFS for Laplace equation and optimal sources using maximal projection method with a substitution functionLiu, Chein-Shan ; Kuo, Chung-LunENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
292023/11/15Precise eigenvalues in the solutions of generalized Sturm-Liouville problemsLiu, Chein-Shan ; Chen, Yung-Wei ; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION
302023A Two-Dimensional Variant of Newton's Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative SchemesLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS
312023Solving the fourth-order nonlinear boundary value problem by a boundary shape function methodLiu, Chein-Shan ; Li, BotongCANADIAN JOURNAL OF PHYSICS
322023Periodic solutions of nonlinear ordinary differential equations computed by a boundary shape function method and a generalized derivative-free Newton methodLiu, Chein-Shan ; Chang, Chih-WenMECHANICAL SYSTEMS AND SIGNAL PROCESSING0
332023Nonlinear Algebraic Equations Solved by an Optimal Splitting-Linearizing Iterative MethodLiu, Chein-Shan ; El-Zahar, Essam R.; Chen, Yung-Wei CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES0
342022Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function methodLiu, Chein-Shan ; Qiu, LinNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS1
352022A novel perturbation method to approximate the solution of nonlinear ordinary differential equation after being linearized to the Mathieu equationLiu, Chein-Shan ; Chang, Chih-WenMECHANICAL SYSTEMS AND SIGNAL PROCESSING1
362022A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm-Liouville ProblemsLiu, Chein-Shan ; Chang, Jiang-Ren ; Shen, Jian-Hung; Chen, Yung-Wei MATHEMATICS1
372022To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified ConditionsLiu, Chein-Shan ; Chang, Chih-Wen; Chen, Yung-Wei ; Shen, Jian-HungMATHEMATICS0
382022Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable CoefficientsLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS1
392022Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two ParametersLu, Jun; Shi, Lianpeng; Liu, Chein-Shan ; Chen, C. S.MATHEMATICS1
402022Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function MethodLiu, Chein-Shan ; Chang, Chih-Wen; Chen, Yung-Wei ; Chang, Yen-ShenSYMMETRY-BASEL2
412022Solving nonlinear parabolic equations under nonlocal conditions by a nonlocal boundary shape function and splitting-linearizing methodLiu, Chein-Shan ; Chang, Chih-WenNUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS0
422022Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value ProblemsLiu, Chein-Shan ; Chang, Chih-WenSYMMETRY-BASEL2
432022Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditionsDeng, Aimin; Lin, Ji; Liu, Chein-Shan MATHEMATICS AND COMPUTERS IN SIMULATION1
442022Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equationsLiu, Dongjie; Liu, Chein-Shan MATHEMATICS AND COMPUTERS IN SIMULATION0
452022Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problemsLiu, Chein-Shan ; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION4
462022Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing methodLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenINTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION0
472022A Non-Iteration Solution for Solving the Backward-in-Time Two-Dimensional Burgers' Equation with a Large Reynolds NumberChang, Yen-Shen; Chen, Yung-Wei ; Liu, Chein-Shan ; Chang, Jiang-Ren JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN2
482022Numerical and Approximate Analytic Solutions of Second-order Nonlinear Boundary Value ProblemsLiu, Chein-Shan ; Shen, Jian-Hung; Chen, Yung-Wei JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN0
492022Solving Nonlinear Boundary Value Problems with Nonlinear Integral Boundary Conditions by Local and Nonlocal Boundary Shape Functions MethodsLiu, Chein-Shan ; Chen, Yung-Wei ; Shen, Jian-HungJOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN0
502021A splitting method to solve a single nonlinear equation with derivative-free iterative schemesLiu, Chein-Shan ; Hong, Hong-Ki; Lee, Tsung-LinMATHEMATICS AND COMPUTERS IN SIMULATION10
512021A Simplified Lindstedt-Poincare Method for Saving Computational Cost to Determine Higher Order Nonlinear Free VibrationsLiu, Chein-Shan ; Chen, Yung-Wei MATHEMATICS7
522021A boundary shape function iterative method for solving nonlinear singular boundary value problemsLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION9
532021Three novel fifth-order iterative schemes for solving nonlinear equationsLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION3
542021A homogenization method to solve inverse Cauchy-Stefan problems for recovering non-smooth moving boundary, heat flux and initial valueLiu, Chein-Shan ; Chang, Jiang-Ren INVERSE PROBLEMS IN SCIENCE AND ENGINEERING1
552021Solving a singular beam equation by the method of energy boundary functionsLiu, Chein-Shan ; Li, BotongMATHEMATICS AND COMPUTERS IN SIMULATION2
562021Solving a nonlinear heat equation with nonlocal boundary conditions by a method of nonlocal boundary shape functionsLiu, Chein-Shan ; Chang, Jiang-Ren NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS2
572021Solving nonlinear third-order boundary value problems based-on boundary shape functionsLiu, Chein-Shan ; Chang, Jiang-Ren INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION1
582021A boundary shape function method for analyzing nonlinear composite beams, subjecting to nonlinear boundary moment conditionsLiu, Chein-Shan COMPOSITE STRUCTURES4
592021Solving nonlinear elliptic equations in arbitrary plane domains by using a new splitting and linearization techniqueLiu, Chein-Shan ; El-Zahar, Essam R.; Chen, Yung-Wei ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS2
602021Recovering temperature-dependent heat conductivity in 2D and 3D domains with homogenization functions as the basesLin, Ji; Liu, Chein-Shan ENGINEERING WITH COMPUTERS8
612021A homogenization function method for inverse heat source problems in 3D functionally graded materialsQiu, Lin; Lin, Ji; Wang, Fajie; Qin, Qing-Hua; Liu, Chein-Shan APPLIED MATHEMATICAL MODELLING16
622021Solving nonlinear third-order three-point boundary value problems by boundary shape functions methodsLin, Ji; Zhang, Yuhui; Liu, Chein-Shan ADVANCES IN DIFFERENCE EQUATIONS6
632021A New Family of Fourth-Order Optimal Iterative Schemes and Remark on Kung and Traub's ConjectureLiu, Chein-Shan ; Lee, Tsung-LinJOURNAL OF MATHEMATICS1
642021Solving the boundary layer problems with buoyancy effect over a moving and permeable plate by a boundary shape function methodLiu, Chein-Shan ; Qiu, Lin; Li, Botong; Liu, ShiwenEUROPEAN PHYSICAL JOURNAL PLUS0
652021Recovering external forces on vibrating Euler-Bernoulli beams using boundary shape function methodsLiu, Chein-Shan ; Chung-Lun Kuo ; Chang, Chih-WenMechanical Systems and Signal Processing3
662021Asymptotic Numerical Solutions for Second-order Quasilinear Singularly Perturbed ProblemsLiu, Chein-Shan ; Chang, Chih-WenJOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN1
672020Reducing the near boundary errors of nonhomogeneous heat equations by boundary consistent methodsLiu, Chein-Shan ; Chang, Chih-WenIMA JOURNAL OF APPLIED MATHEMATICS0
682020Forced and free vibrations of composite beams solved by an energetic boundary functions collocation methodChein-Shan Liu ; Li, B. T.Mathematics and Computers in Simulation
692020Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularizationChein-Shan Liu ; Chang, C. W.Inverse Problems in Science and Engineering
702020An energetic boundary functional method for solving the inverse source problems of 2D nonlinear elliptic equationsChein-Shan Liu Engineering Analysis with Boundary Elements
712020Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditionsChein-Shan Liu ; Chang, C. W.Boundary Value Problems
722020Rayleigh quotient and orthogonality in the linear space of boundary functions, finding accurate upper bounds of natural frequencies of non-uniform beamsChein-Shan Liu ; Li, B. T.Archive of Applied Mechanics
732020Solving a nonlinear inverse Sturm-Liouville problem with nonlinear convective term using a boundary functional methodChein-Shan Liu ; Li, B. T.; Liu, S. L.Inverse Problems in Science and Engineering
742020Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditionsChein-Shan Liu ; Jiang-Ren Chang International Journal of Nonlinear Sciences and Numerical Simulation15
752020Identifying heat conductivity and source functions for a nonlinear convective-diffusive equation by energetic boundary functional methodsChein-Shan Liu ; Han-Taw Chen; Jiang-Ren Chang Numerical Heat Transfer Part B-Fundamentals0
762020CONSTRAINT-TYPE FICTITIOUS TIME INTEGRATION METHOD FOR SOLVING NON-LINEAR MULTI-DIMENSIONAL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONSYung-Wei Chen ; Chein-Shan Liu ; Yen-Shen Chang; Jiang-Ren Chang Journal of Marine Science and Technology-Taiwan 3
772020Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional methodChein-Shan Liu ; Li, B. T.Journal of Inverse and Ill-Posed Problems
782020Solving second-order nonlinear boundary value problem with nonlinear boundary conditions by an iterative methodLiu, Chein-Shan ; Chang, Jiang-Ren ENGINEERING COMPUTATIONS4
792020Solving heat equations under convection boundary conditions by a high-performance space-time boundary shape functions methodChein-Shan Liu ; Qiu, L.; Lin, J.Numerical Heat Transfer Part B-Fundamentals
802020The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function methodJiang-Ren Chang ; Chein-Shan Liu Applied Mathematics Letters
812020An energetic boundary functional method for solving the inverse heat conductivity problems in arbitrary plane domainsChein-Shan Liu International Journal of Heat and Mass Transfer
822020Simulating thin plate bending problems by a family of two-parameter homogenization functionsChein-Shan Liu ; Qiu, L.; Lin, J.Applied Mathematical Modelling
832020Overcoming the near boundary error in the solution of non-homogeneous wave equation by a boundary consistent methodChein-Shan Liu ; Wang, F. J.European Physical Journal Plus
842020Solving the Optimal Control Problems of Nonlinear Duffing Oscillators By Using an Iterative Shape Functions MethodKuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
852019Novel method for analyzing the behavior of composite beams with non-smooth interfacesChein-Shan Liu ; Li, B. T.; Kuo, C. L.International Journal of Mechanics and Materials in Design2
862019Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functionsLiu, Chein-Shan ; Li, BotongAPPLICATIONS OF MATHEMATICS8
872019Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functionsChein-Shan Liu ; Li, B. T.Applications of Mathematics
882019Collocation method with fractional powers exponential trial functions for singularly perturbed reaction-convection-diffusion equationChein-Shan Liu ; Chang, C. W.International Journal of Thermal Sciences
892019Closed-form higher-order numerical differentiators for differentiating noisy signalsLiu, Chein-Shan ; Dong, LeitingAPPL MATH COMPUT1
902019Solving the higher-dimensional nonlinear inverse heat source problems by the superposition of homogenization functions methodChein-Shan Liu ; Qiu, L.; Lin, J.International Journal of Heat and Mass Transfer
912019Solving the 3D Cauchy problems of nonlinear elliptic equations by the superposition of a family of 3D homogenization functionsChein-Shan Liu ; Chang, C. W.Engineering Analysis with Boundary Elements
922019Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions methodChein-Shan Liu ; Chang, C. W.Applied Mathematics Letters
932019Solving a nonlinear convection-diffusion equation with source and moving boundary both unknown by a family of homogenization functionsJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen International Journal of Heat and Mass Transfer
942019Static and dynamic flame model effects on thermal buckling: Fixed-roof tanks adjacent to an ethanol pool-fireLi, Y. H.; Jiang, J. C.; Zhang, Q. W.; Yu, Y.; Wang, Z. R.; Chein-Shan Liu ; Shu, C. M.Process Safety and Environmental Protection
952019IDENTIFYING NONLINEAR OSCILLATORS BY AN ENERGETIC FUNCTIONAL IN THE LINEAR SPACE OF TEMPORAL BOUNDARY FUNCTIONSLiu, Chein-Shan ; Chen, Yung-Wei ; Chang, Jiang-Ren JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN2
962019Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problemsQiu, L.; Chen, W.; Wang, F. J.; Chein-Shan Liu ; Hu, Q. S.Engineering Analysis with Boundary Elements
972019IDENTIFYING NONLINEAR OSCILLATORS BY AN ENERGETIC FUNCTIONAL IN THE LINEAR SPACE OF TEMPORAL BOUNDARY FUNCTIONSJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Journal of Marine Science and Technology-Taiwan
982019Nonlinear wave inverse source problem solved by a method of m-order homogenization functionsChein-Shan Liu ; Qiu, L.; Wang, F. J.Applied Mathematics Letters
992019A novel space-time meshless method for solving the backward heat conduction problemCheng-Yu Ku ; Chih-Yu Liu; Wei-Chung Yeih ; Chein-Shan Liu ; Chia-Ming Fan International Journal of Heat and Mass Transfer18
1002019An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equationsChein-Shan Liu ; Chang, C. W.Communications in Nonlinear Science and Numerical Simulation
1012019An R(x)-orthonormal theory for the vibration performance of a non-smooth symmetric composite beam with complex interfaceChein-Shan Liu ; Li, B. T.Acta Mechanica Sinica
1022019A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equationChein-Shan Liu ; Wang, F. J.; Gu, Y.Applied Mathematics Letters
1032018Optimal sources in the MFS by minimizing a new merit function: Energy gap functionalWang, F. J.; Chein-Shan Liu ; Qu, W. Z.Applied Mathematics Letters
1042018Optimal shape parameter in the MQ-RBF by minimizing an energy gap functionalChein-Shan Liu ; Liu, D. J.Applied Mathematics Letters
1052018A regularized Fourier sine series solution of a 3D backward heat conduction problem with extremal long time spanJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Numerical Heat Transfer Part B-Fundamentals
1062018A General Algorithm on the Natural Vibration Analysis of Composite Beams with Arbitrary Complex InterfacesLi, B. T.; Chein-Shan Liu ; Zhu, L. L.Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences
1072018A simple noniterative method for recovering a space-dependent load on the Euler-Bernoulli beam equationChein-Shan Liu ; Jhao, W. S.; Chang, C. W.Mathematical Methods in the Applied Sciences
1082018A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domainChein-Shan Liu ; Wang, F. J.Computers & Mathematics with Applications
1092018Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equationWang, F. J.; Hua, Q. S.; Chein-Shan Liu Applied Mathematics Letters
1102018THE TREFFTZ TEST FUNCTIONS METHOD FOR SOLVING THE GENERALIZED INVERSE BOUNDARY VALUE PROBLEMS OF LAPLACE EQUATIONJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Journal of Marine Science and Technology-Taiwan
1112018Solving nonlinear singularly perturbed problems by fractional order exponential trial functionsChein-Shan Liu ; Chang, C. W.Applied Mathematics Letters
1122018Continuous Sections of the Devonian and Carboniferous Carbonates and Timing of Collision in the Chinese South TianshanBiske, Y. S.; Alexeiev, D. V.; Djenchuraeva, A. V.; Wang, B.; Getman, O. F.; Chein-Shan Liu Doklady Earth Sciences
1132018Solving singularly perturbed problems by a weak-form integral equation with exponential trial functionsChein-Shan Liu Applied Mathematics and Computation
1142018An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equationChein-Shan Liu ; Wang, F. J.Computers & Mathematics with Applications
1152018FAST-CONVERGENCE ITERATIVE ALGORITHMS FOR SOLVING A NONLINEAR BEAM EQUATION WITH AN INTEGRAL TERM SUBJECTED TO DIFFERENT BOUNDARY CONDITIONSChein-Shan Liu ; Chang, C. W.Journal of Marine Science and Technology-Taiwan
1162018Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equationJiang-Ren Chang ; Chein-Shan Liu Applied Mathematics Letters
1172018A new method for the deflection analysis of composite beams with periodically varying interfacesLi, B. T.; Chein-Shan Liu Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik
1182018Trefftz energy method for solving the Cauchy problem of the Laplace equationChein-Shan Liu ; Wang, F. J.; Gu, Y.Applied Mathematics Letters
1192018A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domainLin, J.; Chein-Shan Liu ; Chen, W.; Sun, L. L.Journal of Computational Science
1202018Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral termChein-Shan Liu ; Li, B. T.Mathematical Methods in the Applied Sciences
1212018Fast Solving the Cauchy Problems of Poisson Equation in an Arbitrary Three-Dimensional DomainChein-Shan Liu ; Wang, F. J.; Qu, W. Z.Cmes-Computer Modeling in Engineering & Sciences
1222018Solving singular convection-diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functionsChein-Shan Liu Journal of King Saud University Science
1232018A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equationChein-Shan Liu ; Liu, D. J.Engineering Analysis with Boundary Elements
1242018Solving inverse coefficient problems of non-uniform fractionally diffusive reactive material by a boundary functional methodChein-Shan Liu International Journal of Heat and Mass Transfer
1252018Vibration Analysis of Composite Beams with Sinusoidal Periodically Varying InterfacesLi, B. T.; Chein-Shan Liu ; Zhu, L. L.Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences
1262018Numerical analysis of heat transfer in arbitrary plane domains using a novel Trefftz energy methodWang, F. J.; Chein-Shan Liu ; Qu, W. Z.Numerical Heat Transfer Part B-Fundamentals
1272018Numerically solving twofold ill-posed inverse problems of heat equation by the adjoint Trefftz methodChein-Shan Liu ; Qu, W. Z.; Zhang, Y. M.Numerical Heat Transfer Part B-Fundamentals
1282017An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profileLiu, Chein-Shan ; Wang, Peifang; Chang, Jiang-Ren J COMPUT APPL MATH4
1292017Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative methodChein-Shan Liu ; Li, B. T.Applied Mathematics Letters
1302017Exactly determining the expansion coefficients in the recovery of space-dependent pollutant sourceLiu, Chein-Shan ; Gu, Yan; Kuo, Chung-LunAPPL MATH LETT2
1312017Solving Mechanical Systems with Nonholonomic Constraints by a Lie-Group Differential Algebraic Equations MethodChein-Shan Liu ; Chen, W.; Liu, L. W.Journal of Engineering Mechanics
1322017Identifying a rigidity function distributed in static composite beam by the boundary functional methodChein-Shan Liu Composite Structures
1332017The polynomial Trefftz method for solving backward and inverse source wave problemsChein-Shan Liu Journal of Computational and Applied Mathematics
1342017Boundary stress analysis using a new regularized boundary integral equation for three-dimensional elasticity problemsQu, W. Z.; Zhang, Y. M.; Chein-Shan Liu Archive of Applied Mechanics
1352017An upper bound theory to approximate the natural frequencies and parameters identification of composite beamsChein-Shan Liu ; Li, B. T.Composite Structures
1362017Numerical and experimental study of natural convection heat transfer characteristics for vertical annular finned tube heat exchangerChen, H. T.; Chiu, Y. J.; Jiang-Ren Chang ; Chein-Shan Liu International Journal of Heat and Mass Transfer
1372017Numerical simulation of 3D nonlinear Schrodinger equations by using the localized method of approximate particular solutionsLin, J.; Hong, Y. X.; Kuo, L. H.; Chein-Shan Liu Engineering Analysis with Boundary Elements
1382017A Fast New Algorithm for Solving a Nonlinear Beam Equation under Nonlinear Boundary ConditionsChein-Shan Liu ; Li, B. T.Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences
1392017An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equationChein-Shan Liu Applied Mathematics Letters
1402017Solving a singular beam equation by using a weak-form integral equation methodChein-Shan Liu ; Liu, D. J.; Jhao, W. S.Applied Mathematics Letters
1412017A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equationsChang, C. W.; Jiang-Ren Chang ; Chen, H. T.; Chein-Shan Liu Inverse Problems in Science and Engineering
1422017Recovering a general space-time-dependent heat source by the coupled boundary integral equation methodChein-Shan Liu ; Liu, D. J.Numerical Heat Transfer Part B-Fundamentals
1432017Recovering both the space-dependent heat source and the initial temperature by using a fast convergent iterative methodChein-Shan Liu ; Kuo, C. L.; Wang, F. J.Numerical Heat Transfer Part B-Fundamentals
1442017A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equationChein-Shan Liu ; Qu, W. Z.; Chen, W.; Lin, J.Inverse Problems in Science and Engineering
1452017A global domain/boundary integral equation method for the inverse wave source and backward wave problemsChein-Shan Liu Inverse Problems in Science and Engineering
1462016A scheme of automatic stress-updating on yield surfaces for a class of elastoplastic modelsChein-Shan Liu ; Liu, L. W.; Hong, H. K.International Journal of Non-Linear Mechanics
1472016Homogenized functions to recover H(t)/H(x) by solving a small scale linear system of differencing equationsChein-Shan Liu International Journal of Heat and Mass Transfer
1482016The recovery of external force in nonlinear system by using a weak-form integral methodJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Nonlinear Dynamics
1492016An analytic adjoint Trefftz method for solving the singular parabolic convection-diffusion equation and initial pollution profile problemLiu, Chein-Shan ; Wang, PeifangINT J HEAT MASS TRAN10
1502016A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domainChein-Shan Liu ; Kuo, C. L.Journal of Computational Physics
1512016Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutionsLin, J.; Chen, C. S.; Chein-Shan Liu ; Lu, J.Computers & Mathematics with Applications
1522016Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental SolutionsLin, J.; Chen, C. S.; Chein-Shan Liu Communications in Computational Physics
1532016A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domainChein-Shan Liu Computers & Mathematics with Applications
1542016A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domainChein-Shan Liu ; Chen, W.; Fu, Z. J.Engineering Analysis with Boundary Elements
1552016A new regularized boundary integral equation for three-dimensional potential gradient fieldQu, W. Z.; Zhang, Y. M.; Chein-Shan Liu Advances in Engineering Software
1562016An integral equation method to recover non-additive and non-separable heat source without initial temperatureChein-Shan Liu International Journal of Heat and Mass Transfer
1572016A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problemsChein-Shan Liu ; Young, D. L.Journal of Computational Physics
1582016The multiple-scale polynomial Trefftz method for solving inverse heat conduction problemsChein-Shan Liu ; Kuo, C. L.; Jhao, W. S.International Journal of Heat and Mass Transfer
1592016A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equationChein-Shan Liu Engineering Analysis with Boundary Elements
1602016A Homogenized Function to Recover Wave Source by Solving a Small Scale Linear System of Differencing EquationsChein-Shan Liu ; Chen, W.; Lin, J.Cmes-Computer Modeling in Engineering & Sciences
1612016The modified polynomial expansion method for identifying the time dependent heat source in two-dimensional heat conduction problemsKuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu International Journal of Heat and Mass Transfer
1622016A multiple/scale/direction polynomial Trefftz method for solving the BHCP in high-dimensional arbitrary simply-connected domainsChein-Shan Liu International Journal of Heat and Mass Transfer
1632016A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problemsChein-Shan Liu Engineering Analysis with Boundary Elements
1642016An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equationsChang, C. W.; Chein-Shan Liu Applied Mathematical Modelling
1652016A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problemsChein-Shan Liu ; Kuo, C. L.Engineering Analysis with Boundary Elements
1662016A global boundary integral equation method for recovering space-time dependent heat sourceChein-Shan Liu ; Chang, C. W.International Journal of Heat and Mass Transfer
1672016Analytical solution of spray cooling characteristics on a hot surface using the Laplace transformChen, H. T.; Lin, J. H.; Xu, X. J.; Jiang-Ren Chang ; Chein-Shan Liu Inverse Problems in Science and Engineering
1682016To recover heat source G(x) plus H(t) by using the homogenized function and solving rectangular differencing equationsChein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
1692016A real-time Lie-group differential algebraic equations method to solve the inverse nonlinear vibration problemsChein-Shan Liu ; Chang, C. W.Inverse Problems in Science and Engineering
1702015Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation methodKuo, C. L.; Wei-Chung Yeih ; Jiang-Ren Chang ; Chein-Shan Liu Engineering Analysis with Boundary Elements
1712015Fast-multipole accelerated singular boundary method for large-scale three-dimensional potential problemsGu, Y.; Gao, H. W.; Chen, W.; Chein-Shan Liu ; Zhang, C. Z.; He, X. Q.International Journal of Heat and Mass Transfer
1722015A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equationsChein-Shan Liu Computers & Mathematics with Applications
1732015A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domainChein-Shan Liu Applied Mathematical Modelling
1742015Nonlinear problems with unknown initial temperature and without final temperature, solved by the GL(N,R) shooting methodChein-Shan Liu ; Chang, C. W.International Journal of Heat and Mass Transfer
1752015Recovering A Heat Source and Initial Value by a Lie-Group Differential Algebraic Equations MethodKuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
1762015Elastoplastic models and oscillators solved by a Lie-group differential algebraic equations methodChein-Shan Liu International Journal of Non-Linear Mechanics
1772015A Modified Algorithm of Steepest Descent Method for Solving Unconstraint Nonlinear Optimization ProblemsChein-Shan Liu ; Jiang-Ren Chang ; Yung-Wei Chen Journal of Marine Science and Technology-Taiwan 2
1782015An algorithm with m-step residual history for solving linear equations: Data interpolation by a multi-shape-factors RBFChein-Shan Liu Engineering Analysis with Boundary Elements
1792015An iterative algorithm for identifying heat source by using a DQ and a Lie-group methodChein-Shan Liu Inverse Problems in Science and Engineering
1802015Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations methodChein-Shan Liu Engineering Analysis with Boundary Elements
1812015A simple algorithm for solving Cauchy problem of nonlinear heat equation without initial valueChein-Shan Liu ; Chang, C. W.International Journal of Heat and Mass Transfer
1822015A novel Lie-group theory and complexity of nonlinear dynamical systemsChein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
1832015Double Optimal Regularization Algorithms for Solving Ill-Posed Linear Problems under Large NoiseChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
1842015A double optimal descent algorithm for iteratively solving ill-posed linear inverse problemsChein-Shan Liu Inverse Problems in Science and Engineering
1852015Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz methodCheng-Yu Ku ; Chung Lun Kuo ; Chia-Ming Fan ; Chein-Shan Liu ; Pai-Chen Guan Engineering Analysis with Boundary Elements26
1862014A multiple scale time domain collocation method for solving non-linear dynamical systemDai, H. H.; Yue, X. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
1872014Lie-group differential algebraic equations method to recover heat source in a Cauchy problem with analytic continuation dataChein-Shan Liu International Journal of Heat and Mass Transfer
1882014Optimal scale polynomial interpolation technique for obtaining periodic solutions to the Duffing oscillatorYue, X. K.; Dai, H. H.; Chein-Shan Liu Nonlinear Dynamics
1892014On-line detecting heat source of a nonlinear heat conduction equation by a differential algebraic equation methodChein-Shan Liu International Journal of Heat and Mass Transfer
1902014The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problemsChang, C. W.; Chein-Shan Liu Applied Mathematical Modelling
1912014Optimal algorithms in a Krylov subspace for solving linear inverse problems by MFSChein-Shan Liu Engineering Analysis with Boundary Elements
1922014A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation methodChein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
1932014A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solutionChein-Shan Liu Computers & Mathematics with Applications
1942014An LGDAE Method to Solve Nonlinear Cauchy Problem Without Initial TemperatureChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
1952014Analysis of Elastic-Plastic Waves in a Thin-Walled Tube By a Novel Lie-Group Differential Algebraic Equations MethodChein-Shan Liu ; Atluri, S. N.Cmc-Computers Materials & Continua
1962014To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integratorChein-Shan Liu Inverse Problems in Science and Engineering
1972014Disclosing the Complexity of Nonlinear Ship Rolling and Duffing Oscillators by a Signum FunctionChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
1982014A doubly optimized solution of linear equations system expressed in an affine Krylov subspaceChein-Shan Liu Journal of Computational and Applied Mathematics
1992014A globally optimal tri-vector method to solve an ill-posed linear systemChein-Shan Liu Journal of Computational and Applied Mathematics
2002014The pre/post equilibrated conditioning methods to solve Cauchy problemsChein-Shan Liu Engineering Analysis with Boundary Elements
2012014AN ITERATIVE METHOD TO RECOVER THE HEAT CONDUCTIVITY FUNCTION OF A NONLINEAR HEAT CONDUCTION EQUATIONChein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
2022014A Sliding Mode Control Algorithm for Solving an Ill-posed Positive Linear SystemChein-Shan Liu Cmc-Computers Materials & Continua
2032014Application of a modified manifold-based exponentially convergent algorithm to solve elliptic boundary-value problemsChang, C. M.; Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Ima Journal of Numerical Analysis
2042014The Solution of SO(3) through a Single Parameter ODEChein-Shan Liu Journal of Applied Mathematics
2052014A vector regularization method to solve linear inverse problemsChein-Shan Liu Inverse Problems in Science and Engineering
2062014Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization ProblemsChein-Shan Liu Journal of Applied Mathematics
2072013A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equationChein-Shan Liu Engineering Analysis with Boundary Elements
2082013An iterative GL(n, R) method for solving non-linear inverse vibration problemsChein-Shan Liu Nonlinear Dynamics
2092013Developing an SL(2, R) Lie-group shooting method for a singular phi-Laplacian in a nonlinear ODEChein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
2102013A Lie-group DSO(n) method for nonlinear dynamical systemsChein-Shan Liu Applied Mathematics Letters
2112013A 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
2122013An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problemsChein-Shan Liu Inverse Problems in Science and Engineering
2132013A method of Lie-symmetry GL(n,R) for solving non-linear dynamical systemsChein-Shan Liu International Journal of Non-Linear Mechanics
2142013An Optimal Preconditioner with an Alternate Relaxation Parameter Used to Solve Ill-Posed Linear ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2152013The Modified Polynomial Expansion Method for Solving the Inverse Heat Source ProblemsKuo, C. L.; Jiang-Ren Chang ; Chein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
2162013A GL(n, R) Differential Algebraic Equation Method for Numerical Differentiation of Noisy SignalChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2172013A New Optimal Iterative Algorithm for Solving Nonlinear Poisson Problems in Heat DiffusionChang, C. W.; Chein-Shan Liu Cmc-Computers Materials & Continua
2182013A Two-Side Equilibration Method to Reduce the Condition Number of an Ill-Posed Linear SystemChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2192013An SL(3,R) shooting method for solving the Falkner-Skan boundary layer equationChein-Shan Liu International Journal of Non-Linear Mechanics
2202013A Scalar Homotopy Method with Optimal Hybrid Search Directions for Solving Nonlinear Algebraic EquationsWei-Chung Yeih ; Chan, I. Y.; Cheng-Yu Ku ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2212013An Optimal Multi-Vector Iterative Algorithm in a Krylov Subspace for Solving the Ill-Posed Linear Inverse ProblemsChein-Shan Liu Cmc-Computers Materials & Continua
2222013A Dynamical Tikhonov Regularization for Solving Ill-posed Linear Algebraic SystemsChein-Shan Liu Acta Applicandae Mathematicae
2232013Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz methodChein-Shan Liu ; Atluri, S. N.Engineering Analysis with Boundary Elements
2242013Upconversion Luminescence and Photodegradation Performances of Pr Doped Y2SiO5 NanomaterialsYang, Y.; Chein-Shan Liu ; Mao, P.; Wang, L. J.Journal of Nanomaterials
2252013Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group MethodChein-Shan Liu Journal of Applied Mathematics
2262013An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear SystemsChein-Shan Liu Journal of Applied Mathematics
2272013A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, R) Lie-Group Shooting MethodChein-Shan Liu Journal of Applied Mathematics
2282012Computing 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
2292012A New Optimal Scheme for Solving Nonlinear Heat Conduction ProblemsChang, C. W.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2302012The Jordan Structure of Residual Dynamics Used to Solve Linear Inverse ProblemsChein-Shan Liu ; Zhang, S. Y.; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2312012A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equationChein-Shan Liu Acta Mechanica
2322012A MANIFOLD-BASED EXPONENTIALLY CONVERGENT ALGORITHM FOR SOLVING NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONSChein-Shan Liu Journal of Marine Science and Technology-Taiwan
2332012Adaptive multilayer method of fundamental solutions using a weighted greedy QR decomposition for the Laplace equationShigeta, T.; Young, D. L.; Chein-Shan Liu Journal of Computational Physics
2342012An equilibrated method of fundamental solutions to choose the best source points for the Laplace equationChein-Shan Liu Engineering Analysis with Boundary Elements
2352012The Optimal Control Problem of Nonlinear Duffing Oscillator Solved by the Lie-Group Adaptive MethodChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2362012Optimally scaled vector regularization method to solve ill-posed linear problemsChein-Shan Liu Applied Mathematics and Computation
2372012Optimally Generalized Regularization Methods for Solving Linear Inverse ProblemsChein-Shan Liu Cmc-Computers Materials & Continua
2382012A 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)=0Chein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2392012The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problemsChein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
2402012A Globally Optimal Iterative Algorithm to Solve an Ill-Posed Linear SystemChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2412012A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domainsChein-Shan Liu ; Chang, C. W.Engineering Analysis with Boundary Elements
2422012The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value ProblemsChein-Shan Liu Journal of Optimization Theory and Applications
2432012A Lie-group shooting method for reconstructing a past time-dependent heat sourceChein-Shan Liu International Journal of Heat and Mass Transfer
2442012The Concept of Best Vector Used to Solve Ill-Posed Linear Inverse ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2452012Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz methodWei-Chung Yeih ; Jiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Engineering Analysis with Boundary Elements
2462012Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting methodChein-Shan Liu Inverse Problems in Science and Engineering
2472011An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary dataChein-Shan Liu Applied Mathematics and Computation
2482011AN ANALYTICAL METHOD FOR THE INVERSE CAUCHY PROBLEM OF LAPLACE EQUATION IN A RECTANGULAR PLATEChein-Shan Liu Journal of Mechanics
2492011A 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)=0Chein-Shan Liu ; Dai, H. H.; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2502011The Lie-group shooting method for solving the Bratu equationAbbasbandy, S.; Hashemi, M. S.; Chein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
2512011Iterative 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 FChein-Shan Liu ; Dai, H. H.; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2522011An Iterative Method Using an Optimal Descent Vector, for Solving an Ill-Conditioned System Bx = b, Better and Faster than the Conjugate Gradient MethodChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2532011The Lie-group shooting method for boundary-layer problems with suction/injection/reverse flow conditions for power-law fluidsChein-Shan Liu International Journal of Non-Linear Mechanics
2542011A Lie-Group Adaptive Method to Identify the Radiative Coefficients in Parabolic Partial Differential EquationsChein-Shan Liu ; Chang, C. W.Cmc-Computers Materials & Continua
2552011A Revision of Relaxed Steepest Descent Method from the Dynamics on an Invariant ManifoldChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2562011A Highly Accurate Multi-Scale Full/Half-Order Polynomial InterpolationChein-Shan Liu Cmc-Computers Materials & Continua
2572011The Spring-Damping Regularization Method and the Lie-Group Shooting Method for Inverse Cauchy ProblemsChein-Shan Liu ; Kuo, C. L.; Liu, D. J.Cmc-Computers Materials & Continua
2582011A Spring-Damping Regularization and a Novel Lie-Group Integration Method for Nonlinear Inverse Cauchy ProblemsChein-Shan Liu ; Kuo, C. L.Cmes-Computer Modeling in Engineering & Sciences
2592011A Dynamical Tikhonov Regularization Method for Solving Nonlinear Ill-Posed ProblemsChein-Shan Liu ; Kuo, C. L.Cmes-Computer Modeling in Engineering & Sciences
2602011Dynamical Newton-Like Methods for Solving III-Conditioned Systems of Nonlinear Equations with Applications to Boundary Value ProblemsWei-Chung Yeih ; Cheng-Yu Ku ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2612011Solving two typical inverse Stefan problems by using the Lie-group shooting methodChein-Shan Liu International Journal of Heat and Mass Transfer
2622011An 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
2632011A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal dataChein-Shan Liu International Journal of Heat and Mass Transfer
2642011Simple "Residual-Norm" Based Algorithms, for the Solution of a Large System of Non-Linear Algebraic Equations, which Converge Faster than the Newton's MethodChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2652011Using a Lie-Group Adaptive Method for the Identification of a Nonhomogeneous Conductivity Function and Unknown Boundary DataChein-Shan Liu Cmc-Computers Materials & Continua
2662011A New Insight into the Differential Quadrature Method in Solving 2-D Elliptic PDEsShen, Y. H.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2672011THE METHOD OF FUNDAMENTAL SOLUTIONS FOR SOLVING THE BACKWARD HEAT CONDUCTION PROBLEM WITH CONDITIONING BY A NEW POST-CONDITIONERChein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
2682011A LIE-GROUP ADAPTIVE METHOD TO IDENTIFY SPATIAL-DEPENDENCE HEAT CONDUCTIVITY COEFFICIENTSChein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
2692010A new algorithm for direct and backward problems of heat conduction equationChang, C. W.; Chein-Shan Liu International Journal of Heat and Mass Transfer
2702010A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivityChein-Shan Liu International Journal of Heat and Mass Transfer
2712010A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time dataChein-Shan Liu International Journal of Heat and Mass Transfer
2722010A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave ProblemsChang, C. W.; Chein-Shan Liu Cmc-Computers Materials & Continua
2732010An Iterative and Adaptive Lie-Group Method for Solving the Calderon Inverse ProblemChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2742010A Lie-Group Adaptive Method for Imaging a Space-Dependent Rigidity Coefficient in an Inverse Scattering Problem of Wave PropagationChein-Shan Liu Cmc-Computers Materials & Continua
2752010Solving Non-Linear Algebraic Equations by a Scalar Newton-homotopy Continuation MethodWei-Chung Yeih ; Cheng-Yu Ku ; Chein-Shan Liu International Journal of Nonlinear Sciences and Numerical Simulation
2762010On 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 LengthsWei-Chung Yeih ; Kuo, C. L.; Atluri, S. N.; Chein-Shan Liu Cmc-Computers Materials & Continua
2772010Applications of the Modified Trefftz Method to the Simulation of Sloshing BehaviorsYung-Wei Chen ; Chein-Shan Liu ; Chun-Ming Chang; Jiang-Ren Chang Engineering Analysis with Boundary Elements15
2782010Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear SystemsChein-Shan Liu ; Hong, H. K.; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2792010A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Advection-Dispersion EquationChang, C. W.; Chein-Shan Liu Cmc-Computers Materials & Continua
2802010An Enhanced Fictitious Time Integration Method for Non-Linear Algebraic Equations With Multiple Solutions: Boundary Layer, Boundary Value and Eigenvalue ProblemsWei-Chung Yeih ; Atluri, S. N.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2812010A Backward Group Preserving Scheme for Multi-Dimensional Backward Heat Conduction ProblemsChang, C. W.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2822010A QUASI-BOUNDARY SEMI-ANALYTICAL METHOD FOR BACKWARD HEAT CONDUCTION PROBLEMSChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Journal of the Chinese Institute of Engineers
2832010The Fictitious Time Integration Method to Solve the Space- and Time-Fractional Burgers EquationsChein-Shan Liu Cmc-Computers Materials & Continua
2842010The Lie-Group Shooting Method for Computing the Generalized Sturm-Liouville ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2852010A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Heat Conduction ProblemsChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmc-Computers Materials & Continua
2862010The Backward Group Preserving Scheme for 1D Backward in Time Advection-Dispersion EquationChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Numerical Methods for Partial Differential Equations
2872010The Scalar Homotopy Method for Solving Non-Linear Obstacle ProblemChia-Ming Fan ; Chein-Shan Liu ; Wei-Chung Yeih ; Hsin-Fang ChanCmc-Computers Materials & Continua
2882009A Scalar Homotopy Method for Solving an Over/Under-Determined System of Non-Linear Algebraic EquationsWei-Chung Yeih ; Kuo, C. L.; Atluri, S. N.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2892009An Analytical Method for Computing the One-Dimensional Backward Wave ProblemChein-Shan Liu Cmc-Computers Materials & Continua
2902009A Fictitious Time Integration Method for Backward Advection-Dispersion EquationChang, C. W.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2912009A MODIFIED NEWTON METHOD FOR SOLVING NON-LINEAR ALGEBRAIC EQUATIONSAtluri, S. N.; Chein-Shan Liu ; Kuo, C. L.Journal of Marine Science and Technology-Taiwan
2922009A MATHEMATICAL REVISION OF THE LANDAU-LIFSHITZ EQUATIONChein-Shan Liu ; Chen, K. C.; Yeh, C. S.Journal of Marine Science and Technology-Taiwan
2932009NOVEL METHODS FOR SOLVING SEVERELY ILL-POSED LINEAR EQUATIONS SYSTEMChein-Shan Liu ; Chang, C. W.Journal of Marine Science and Technology-Taiwan
2942009A Novel Method for Solving the Cauchy Problem of Laplace Equation Using the Fictitious Time Integration MethodChi, C. C.; Wei-Chung Yeih ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2952009A New Method for Fredholm Integral Equations of 1D Backward Heat Conduction ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2962009A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSMWei-Chung Yeih ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2972009A Fictitious Time Integration Method for a Quasilinear Elliptic Boundary Value Problem, Defined in an Arbitrary Plane DomainChein-Shan Liu Cmc-Computers Materials & Continua
2982009On 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 ScalesWei-Chung Yeih ; Atluri, S. N.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2992009Applications of the Fictitious Time Integration Method Using a New Time-Like FunctionWei-Chung Yeih ; Chi, C. C.; Cheng-Yu Ku ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3002009A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear ProblemsChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
3012009A 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 TheoryChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
3022009A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperatureChein-Shan Liu International Journal of Heat and Mass Transfer
3032009A Fictitious Time Integration Method for Solving Delay Ordinary Differential EquationsChein-Shan Liu Cmc-Computers Materials & Continua
3042009A Quasi-Boundary Semi-Analytical Method for Backward in Time Advection-Dispersion EquationChan, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmc-Computers Materials & Continua
3052009The Fourth-Order Group Preserving Methods for the Integrations of Ordinary Differential EquationsLee, H. C.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3062009A Fictitious Time Integration Method for the Burgers EquationChein-Shan Liu Cmc-Computers Materials & Continua
3072009Applications of the modified Trefftz method for the Laplace equationJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Engineering Analysis with Boundary Elements
3082009Conformal Mapping and Bipolar Coordinate for Eccentric Laplace ProblemsJeng-Tzong Chen ; MING-HONG TSAI; Chein-Shan Liu Computer Applications in Engineering Education 10
3092009Solving the Inverse Problems of Laplace Equation to Determine the Robin Coefficient/Cracks' Position Inside a DiskChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3102009A Fictitious Time Integration Method for Solving m-Point Boundary Value ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3112009A NEW SHOOTING METHOD FOR QUASI-BOUNDARY REGULARIZATION OF MULTI-DIMENSIONAL BACKWARD HEAT CONDUCTION PROBLEMSChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Journal of the Chinese Institute of Engineers
3122008A New Mathematical Modeling of Maxwell Equations: Complex Linear Operator and Complex FieldChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3132008The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditionsJiang-Ren Chang ; Chein-Shan Liu International Journal of Non-Linear Mechanics
3142008A Novel Fictitious Time Integration Method for Solving the Discretized Inverse Sturm-Liouville Problems, For Specified EigenvaluesChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
3152008Identifying time-dependent damping and stiffness functions by a simple and yet accurate methodChein-Shan Liu Journal of Sound and Vibration
3162008A Lie-Group Shooting Method Estimating Nonlinear Restoring Forces in Mechanical SystemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3172008A regularized integral equation method for the inverse geometry heat conduction problemChein-Shan Liu ; Chang, C. W.; Chiang, C. Y.International Journal of Heat and Mass Transfer
3182008A Time-Marching Algorithm for Solving Non-Linear Obstacle Problems with the Aid of an NCP-FunctionChein-Shan Liu Cmc-Computers Materials & Continua
3192008A Highly Accurate MCTM for Inverse Cauchy Problems of Laplace Equation in Arbitrary Plane DomainsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3202008A Fictitious Time Integration Method (FTIM) for Solving Mixed Complementarity Problems with Applications to Non-Linear OptimizationChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
3212008A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equationChein-Shan Liu Engineering Analysis with Boundary Elements
3222008A Fictitious Time Integration Method for Two-Dimensional Quasilinear Elliptic Boundary Value ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3232008The Lie-group shooting method for thermal stress evaluation through an internal temperature measurementChein-Shan Liu Cmc-Computers Materials & Continua
3242008A New Shooting Method for Solving Boundary Layer Equations in Fluid MechanicsChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3252008A novel time integration method for solving a large system of non-linear algebraic equationsChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
3262008The Lie-group shooting method for solving classical Blasius flat-plate problemChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmc-Computers Materials & Continua
3272008A highly accurate MCTM for direct and inverse problems of biharmonic equation in arbitrary plane domainsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3282008A Lie-group shooting method for post buckling calculations of elasticaChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3292008An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperatureChein-Shan Liu International Journal of Heat and Mass Transfer
3302008Improving the ill-conditioning of the method of fundamental solutions for 2D Laplace equationChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3312008A lie-group shooting method for simultaneously estimating the time-dependent damping and stiffness coefficientsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3322008An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradientChein-Shan Liu Cmc-Computers Materials & Continua
3332008Simultaneously estimating the time-dependent damping and stiffness coefficients with the aid of vibrational dataJiang-Ren Chang ; Chang, K. H.; Chein-Shan Liu ; Yung-Wei Chen Cmc-Computers Materials & Continua
3342008A Lie-group shooting method for computing eigenvalues and eigenfunctions of Sturm-Liouville problemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3352008A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domainsChein-Shan Liu Numerical Methods for Partial Differential Equations
3362008Solving an inverse Sturm-Liouville problem by a Lie-group methodChein-Shan Liu Boundary Value Problems
3372008A two-stage LGSM for three-point BVPs of second-order ODEsChein-Shan Liu Boundary Value Problems
3382007An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic lengthChein-Shan Liu Engineering Analysis with Boundary Elements
3392007A consistent computation of magnetization reversal under a circularly polarized field and an anisotropy fieldChein-Shan Liu Cmc-Computers Materials & Continua
3402007Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement dataChein-Shan Liu Numerical Methods for Partial Differential Equations
3412007A modified Trefftz method for two-dimensional Laplace equation considering the domain's characteristic lengthChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3422007A highly accurate solver for the mixed-boundary potential problem and singular problem in arbitrary plane domainChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3432007New integrating methods for time-varying linear systems and Lie-group computationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3442007A study of type I intermittency of a circular differential equation under a discontinuous right-hand sideChein-Shan Liu Journal of Mathematical Analysis and Applications
3452007A new shooting method for quasi-boundary regularization of backward heat conduction problemsJiang-Ren Chang ; Chang, C. W.; Chein-Shan Liu International Journal of Heat and Mass Transfer
3462007A MRIEM for solving the Laplace equation in the doubly-connected domainChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3472007The Lie-Group Shooting Method for Quasi-Boundary Regularization of Backward Heat Conduction ProblemC. W. Chang ; C. S. Liu ; Jiang-Ren Chang International Conference on Computational & Experimental Engineering and Sciences
3482007A meshless regularized integral equation method for laplace equation in arbitrary interior or exterior plane domainsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3492007Two complementary trios material model and experimental simulations of SAE 4340 and RHAChein-Shan Liu ; Hong, H. K.; Shiao, Y. P.Journal of Mechanics of Materials and Structures
3502007The computation of modified Landau-Lifshitz equation under an AC fieldChein-Shan Liu Cmc-Computers Materials & Continua
3512007Elastic torsion bar with arbitrary cross-section using the Fredholm integral equationsChein-Shan Liu Cmc-Computers Materials & Continua
3522007Five different formulations of the finite strain perfectly plastic equationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3532007A Chaos Detectable and Time Step-Size Adaptive Numerical Scheme for Non-Linear Dynamic SystemsYung-Wei Chen ; Chein-Shan Liu ; Jiang-Ren Chang Journal of Sound and Vibration6
3542007Highly accurate computation of spatial-dependent heat conductivity and heat capacity in inverse thermal problemChein-Shan Liu ; Liu, L. W.; Hong, H. K.Cmes-Computer Modeling in Engineering & Sciences
3552007A New Collocation Method for Motz's ProblemChein-Shan Liu ; Yung-Wei Chen ; Jiang-Ren Chang International Conference on Computational & Experimental Engineering and Sciences
3562007Conformal mapping and bipolar coordinate for eccentric Laplace problemsJeng-Tzong Chen ; Chein-Shan Liu ; Ming-Hong Tsai
3572006The computations of large rotation through an index two nilpotent equationChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3582006The Lie-group shooting method for singularly perturbed two-point boundary value problemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3592006Efficient shooting methods for the second-order ordinary differential equationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3602006One-step GPS for the estimation of temperature-dependent thermal conductivityChein-Shan Liu International Journal of Heat and Mass Transfer
3612006An efficient simultaneous estimation of temperature-dependent thermophysical propertiesChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3622006THE LIE-GROUP SHOOTING METHOD FOR STEADY-STATE BURGERS EQUATION WITH HIGH REYNOLDS NUMBERJiang-Ren Chang ; Chang, C. W.; Chein-Shan Liu Journal of Hydrodynamics
3632006THE LIE-GROUP SHOOTING METHOD FOR BOUNDARY LAYER EQUATIONS IN FLUID MECHANICSChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Journal of Hydrodynamics
3642006Reid's passive and semi-active hysteretic oscillators with friction force dependence on displacementChein-Shan Liu International Journal of Non-Linear Mechanics
3652006Conformal mapping and bipolar coordinate for eccentric problemsMing-Hong Tsai; Jeng-Tzong Chen ; Chein-Shan Liu 
3662006NEW METHODS FOR ELASTIC TORSION OF BAR WITH ARBITRARY SHAPE OF CROSS-SECTIONChein-Shan Liu 
3672006The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutionsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3682006Steady-state responses of a compliant friction slider under harmonic excitationsChein-Shan Liu ; Su, P. J.Journal of the Chinese Institute of Engineers
3692006Computing Prager's kinematic hardening mixed-control equations in a pseudo-Rriemann manifoldChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3702006Preserving constraints of differential equations by numerical methods based on integrating factorsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3712006A group preserving scheme for Burgers equation with very large Reynolds numberChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3722006An efficient backward group preserving scheme for the backward in time Burgers equationChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3732006Past cone dynamics and backward group preserving schemes for backward heat conduction problemsChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3742006Fractal basin of elastic shakedown attractors under cyclic rectilinear generalized strain pathsChein-Shan Liu Journal of the Chinese Institute of Engineers
3752006Reconcile the perfectly elastoplastic model to simulate the cyclic behavior and ratchetingChein-Shan Liu International Journal of Solids and Structures
3762005A group preserving scheme for inverse heat conduction problemsChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3772005Nonstandard group-preserving schemes for very stiff ordinary differential equationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3782005A combination of group preserving scheme and Runge-Kutta method for the integration of Landau-Lifshitz equationChein-Shan Liu ; Ku, Y. L.Cmes-Computer Modeling in Engineering & Sciences
3792005Geometrical numerical algorithms for a plasticity model with Armstrong-Frederick kinematic hardening rule under strain and stressChein-Shan Liu ; Li, C. F.International Journal for Numerical Methods in Engineering
3802005Computational applications of the Poincare group on the elastoplasticity with kinematic hardeningChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3812005Non-canonical Minkowski and pseudo-Riemann frames of plasticity models with anisotropic quadratic yield criteriaChein-Shan Liu ; Chang, C. W.International Journal of Solids and Structures
3822005The asymptotic behavior of perfectly elastoplastic model under periodic square generalized strain pathsChein-Shan Liu Journal of the Chinese Institute of Engineers
3832004The g-based Jordan algebra and Lie algebra formulations of the Maxwell equationsChein-Shan Liu Journal of Mechanics
3842004Internal symmetry groups for perfect elastoplasticity under axial-torsional loadingsChein-Shan Liu Journal of the Chinese Institute of Engineers
3852004Lie group symmetry applied to the computation of convex plasticity constitutive equationChein-Shan Liu ; Chang, C. W.Cmes-Computer Modeling in Engineering & Sciences
3862004Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methodsChein-Shan Liu International Journal of Solids and Structures
3872004Lie symmetry of the Landau-Lifshitz-Gilbert equation and exact linearization in the Minkowski spaceChein-Shan Liu Zeitschrift Fur Angewandte Mathematik Und Physik
3882004Group preserving scheme for backward heat conduction problemsChein-Shan Liu International Journal of Heat and Mass Transfer
3892004The steady state responses of s.d.o.f. viscous elasto-plastic oscillator under sinusoidal loadingsChein-Shan Liu ; Huang, Z. M.Journal of Sound and Vibration
3902004Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrationsChein-Shan Liu International Journal of Solids and Structures
3912004A consistent numerical scheme for the von Mises mixed-hardening constitutive equationsChein-Shan Liu International Journal of Plasticity
3922003Two-dimensional bilinear oscillator: group-preserving scheme and steady-state motion under harmonic loadingChein-Shan Liu International Journal of Non-Linear Mechanics
3932003Two-dimensional friction oscillator: group-preserving scheme and handy formulaeChein-Shan Liu ; Hong, H. K.; Liou, D. Y.Journal of Sound and Vibration
3942003Computational isotropic-workhardening rate-independent elastoplasticityMukherjee, S.; Chein-Shan Liu Journal of Applied Mechanics-Transactions of the Asme
3952003Smoothing elastoplastic stress-strain curves obtained by a critical modification of conventional modelsChein-Shan Liu International Journal of Solids and Structures
3962003The steady-state behavior of the prandtl-reuss material bifurcated under nonproportional circular strain pathsChein-Shan Liu Journal of the Chinese Institute of Engineers
3972003Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticityChein-Shan Liu International Journal of Solids and Structures
3982002Frictional behaviour of a belt-driven and periodically excited oscillatorChein-Shan Liu ; Chang, W. T.Journal of Sound and Vibration
3992002Planar double-slip model for polycrystal plasticity and micro tension tests of pure nickel and copperHong, H. K.; Chein-Shan Liu ; Shiao, Y. P.; Shih, B. C.Journal of Engineering Materials and Technology-Transactions of the Asme
4002002The steady-state responses of a bilinear elastoplastic oscillator under sinusoidal loadingChein-Shan Liu Journal of the Chinese Institute of Engineers
4012001Some physical models with Minkowski spacetime structure and Lorentz group symmetryHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
4022001Cone of non-linear dynamical system and group preserving schemesChein-Shan Liu International Journal of Non-Linear Mechanics
4032001Non-sticking oscillation formulae for Coulomb friction under harmonic loadingHong, H. K.; Chein-Shan Liu Journal of Sound and Vibration
4042001Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticityHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
4052001Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticityChein-Shan Liu ; Hong, H. K.International Journal of Solids and Structures
4062000Intermittent transition to quasiperiodicity demonstrated via a circular differential equationChein-Shan Liu International Journal of Non-Linear Mechanics
4072000The contraction ratios of perfect elastoplasticity under biaxial controlsChein-Shan Liu ; Hong, H. K.European Journal of Mechanics a-Solids
4082000Internal symmetry in the constitutive model of perfect elastoplasticityHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
4092000A Jordan algebra and dynamic system with associator as vector fieldChein-Shan Liu International Journal of Non-Linear Mechanics
4102000Coulomb friction oscillator: Modelling and responses to harmonic loads and base excitationsHong, H. K.; Chein-Shan Liu Journal of Sound and Vibration
4111999Lorentz group SOo(5,1) for perfect elastoplasticity with large deformation and a consistency numerical schemeHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
4121999Internal symmetry in bilinear elastoplasticityHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
4131999Non-oscillation criteria for hypoelastic models under simple shear deformationChein-Shan Liu ; Hong, H. K.Journal of Elasticity
4141998On behavior of perfect elastoplasticity under rectilinear pathsHong, H. K.; Chein-Shan Liu International Journal of Solids and Structures
4151997Prandtl-Reuss elastoplasticity: On-off switch and superposition formulaeHong, H. K.; Chein-Shan Liu International Journal of Solids and Structures
4161997Exact solutions and dynamic responses of SDOF bilinear elastoplastic structuresChein-Shan Liu Journal of the Chinese Institute of Engineers
4171997Orientation control of particles and fibers for polymeric liquids and fiber reinforced materialsChein-Shan Liu Journal of the Chinese Institute of Engineers
418-A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shellChein-Shan Liu ; Zhang, Y. M.; Wang, F. J.Inverse Problems in Science and Engineering
419-A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equationChein-Shan Liu ; Chang, C. W.Inverse Problems in Science and Engineering