研究成果

第 1 到 406 筆結果，共 406 筆。

公開日期標題作者來源出版物WOS全文
12024/7/1Maximizing 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
22024/7/1Enhance 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
32024/6/1Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and PseudoinverseLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenMATHEMATICS
42024/6/1Optimal 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
52024/4/8The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formulaLiu, Chein-Shan ; Li, BotongAPPLICATIONS OF MATHEMATICS
62024/4/29The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functionsLiu, Chein-Shan ; Kuo, Chung-LunENGINEERING WITH COMPUTERS
72024/4/1Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear EquationsLiu, Chein-Shan ; Chang, Chih-WenMATHEMATICS
82024/4/1Numerical Analysis for Sturm-Liouville Problems with Nonlocal Generalized Boundary ConditionsLiu, Chein-Shan ; Chang, Chih-Wen; Kuo, Chung-LunMATHEMATICS
92024/2/1A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion ProblemsLiu, Chein-Shan ; Kuo, Chung-Lun; Chang, Chih-WenSYMMETRY-BASEL
102024/2/1New Memory-Updating Methods in Two-Step Newton's Variants for Solving Nonlinear Equations with High Efficiency IndexLiu, Chein-Shan ; Chang, Chih-WenMATHEMATICS
112024/11/1Rapid computation of Hopf bifurcation points of continuous and discrete systems through minimizationLiu, Chein-Shan ; Chang, Chih-WenINTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
122024/1/19Highly 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
132024/1/15Optimal 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
142024/1/1Memory-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
152023/11/8Pseudo 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
162023/11/15Precise eigenvalues in the solutions of generalized Sturm-Liouville problemsLiu, Chein-Shan ; Chen, Yung-Wei ; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION
172023A 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
182023Solving the fourth-order nonlinear boundary value problem by a boundary shape function methodLiu, Chein-Shan ; Li, BotongCANADIAN JOURNAL OF PHYSICS
192023Periodic 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
202023Nonlinear 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
212022Solving 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
222022A 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
232022A 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
242022To 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
252022Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable CoefficientsLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS1
262022Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two ParametersLu, Jun; Shi, Lianpeng; Liu, Chein-Shan ; Chen, C. S.MATHEMATICS1
272022Periodic 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
282022Solving 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
292022Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value ProblemsLiu, Chein-Shan ; Chang, Chih-WenSYMMETRY-BASEL2
302022Boundary 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
312022Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equationsLiu, Dongjie; Liu, Chein-Shan MATHEMATICS AND COMPUTERS IN SIMULATION0
322022Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problemsLiu, Chein-Shan ; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION4
332022Solving 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
342022A 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
352022Numerical 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
362022Solving 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
372021A 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
382021A Simplified Lindstedt-Poincare Method for Saving Computational Cost to Determine Higher Order Nonlinear Free VibrationsLiu, Chein-Shan ; Chen, Yung-Wei MATHEMATICS7
392021A 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
402021Three novel fifth-order iterative schemes for solving nonlinear equationsLiu, Chein-Shan ; El-Zahar, Essam R.; Chang, Chih-WenMATHEMATICS AND COMPUTERS IN SIMULATION3
412021A 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
422021Solving a singular beam equation by the method of energy boundary functionsLiu, Chein-Shan ; Li, BotongMATHEMATICS AND COMPUTERS IN SIMULATION2
432021Solving 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
442021Solving nonlinear third-order boundary value problems based-on boundary shape functionsLiu, Chein-Shan ; Chang, Jiang-Ren INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION1
452021A boundary shape function method for analyzing nonlinear composite beams, subjecting to nonlinear boundary moment conditionsLiu, Chein-Shan COMPOSITE STRUCTURES4
462021Solving 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
472021Recovering temperature-dependent heat conductivity in 2D and 3D domains with homogenization functions as the basesLin, Ji; Liu, Chein-Shan ENGINEERING WITH COMPUTERS8
482021A 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
492021Solving nonlinear third-order three-point boundary value problems by boundary shape functions methodsLin, Ji; Zhang, Yuhui; Liu, Chein-Shan ADVANCES IN DIFFERENCE EQUATIONS6
502021A New Family of Fourth-Order Optimal Iterative Schemes and Remark on Kung and Traub's ConjectureLiu, Chein-Shan ; Lee, Tsung-LinJOURNAL OF MATHEMATICS1
512021Solving 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
522021Recovering external forces on vibrating Euler-Bernoulli beams using boundary shape function methodsLiu, Chein-Shan ; Chung-Lun Kuo ; Chang, Chih-WenMechanical Systems and Signal Processing3
532021Asymptotic Numerical Solutions for Second-order Quasilinear Singularly Perturbed ProblemsLiu, Chein-Shan ; Chang, Chih-WenJOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN1
542020Reducing the near boundary errors of nonhomogeneous heat equations by boundary consistent methodsLiu, Chein-Shan ; Chang, Chih-WenIMA JOURNAL OF APPLIED MATHEMATICS0
552020Forced and free vibrations of composite beams solved by an energetic boundary functions collocation methodChein-Shan Liu ; Li, B. T.Mathematics and Computers in Simulation
562020Analytic 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
572020An energetic boundary functional method for solving the inverse source problems of 2D nonlinear elliptic equationsChein-Shan Liu Engineering Analysis with Boundary Elements
582020Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditionsChein-Shan Liu ; Chang, C. W.Boundary Value Problems
592020Rayleigh 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
602020Solving 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
612020Boundary 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
622020Identifying 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
632020CONSTRAINT-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
642020Identifying 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
652020Solving second-order nonlinear boundary value problem with nonlinear boundary conditions by an iterative methodLiu, Chein-Shan ; Chang, Jiang-Ren ENGINEERING COMPUTATIONS4
662020Solving 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
672020The 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
682020An energetic boundary functional method for solving the inverse heat conductivity problems in arbitrary plane domainsChein-Shan Liu International Journal of Heat and Mass Transfer
692020Simulating thin plate bending problems by a family of two-parameter homogenization functionsChein-Shan Liu ; Qiu, L.; Lin, J.Applied Mathematical Modelling
702020Overcoming 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
712020Solving 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
722019Novel 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
732019Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functionsLiu, Chein-Shan ; Li, BotongAPPLICATIONS OF MATHEMATICS8
742019Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functionsChein-Shan Liu ; Li, B. T.Applications of Mathematics
752019Collocation method with fractional powers exponential trial functions for singularly perturbed reaction-convection-diffusion equationChein-Shan Liu ; Chang, C. W.International Journal of Thermal Sciences
762019Closed-form higher-order numerical differentiators for differentiating noisy signalsLiu, Chein-Shan ; Dong, LeitingAPPL MATH COMPUT1
772019Solving 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
782019Solving 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
792019Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions methodChein-Shan Liu ; Chang, C. W.Applied Mathematics Letters
802019Solving 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
812019Static 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
822019IDENTIFYING 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
832019Boundary 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
842019IDENTIFYING 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
852019Nonlinear wave inverse source problem solved by a method of m-order homogenization functionsChein-Shan Liu ; Qiu, L.; Wang, F. J.Applied Mathematics Letters
862019A 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
872019An 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
882019An 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
892019A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equationChein-Shan Liu ; Wang, F. J.; Gu, Y.Applied Mathematics Letters
902018Optimal sources in the MFS by minimizing a new merit function: Energy gap functionalWang, F. J.; Chein-Shan Liu ; Qu, W. Z.Applied Mathematics Letters
912018Optimal shape parameter in the MQ-RBF by minimizing an energy gap functionalChein-Shan Liu ; Liu, D. J.Applied Mathematics Letters
922018A 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
932018A 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
942018A 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
952018A 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
962018Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equationWang, F. J.; Hua, Q. S.; Chein-Shan Liu Applied Mathematics Letters
972018THE 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
982018Solving nonlinear singularly perturbed problems by fractional order exponential trial functionsChein-Shan Liu ; Chang, C. W.Applied Mathematics Letters
992018Continuous 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
1002018Solving singularly perturbed problems by a weak-form integral equation with exponential trial functionsChein-Shan Liu Applied Mathematics and Computation
1012018An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equationChein-Shan Liu ; Wang, F. J.Computers & Mathematics with Applications
1022018FAST-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
1032018Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equationJiang-Ren Chang ; Chein-Shan Liu Applied Mathematics Letters
1042018A 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
1052018Trefftz energy method for solving the Cauchy problem of the Laplace equationChein-Shan Liu ; Wang, F. J.; Gu, Y.Applied Mathematics Letters
1062018A 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
1072018Highly 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
1082018Fast 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
1092018Solving singular convection-diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functionsChein-Shan Liu Journal of King Saud University Science
1102018A 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
1112018Solving inverse coefficient problems of non-uniform fractionally diffusive reactive material by a boundary functional methodChein-Shan Liu International Journal of Heat and Mass Transfer
1122018Vibration 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
1132018Numerical 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
1142018Numerically 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
1152017An 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
1162017Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative methodChein-Shan Liu ; Li, B. T.Applied Mathematics Letters
1172017Exactly determining the expansion coefficients in the recovery of space-dependent pollutant sourceLiu, Chein-Shan ; Gu, Yan; Kuo, Chung-LunAPPL MATH LETT2
1182017Solving Mechanical Systems with Nonholonomic Constraints by a Lie-Group Differential Algebraic Equations MethodChein-Shan Liu ; Chen, W.; Liu, L. W.Journal of Engineering Mechanics
1192017Identifying a rigidity function distributed in static composite beam by the boundary functional methodChein-Shan Liu Composite Structures
1202017The polynomial Trefftz method for solving backward and inverse source wave problemsChein-Shan Liu Journal of Computational and Applied Mathematics
1212017Boundary 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
1222017An upper bound theory to approximate the natural frequencies and parameters identification of composite beamsChein-Shan Liu ; Li, B. T.Composite Structures
1232017Numerical 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
1242017Numerical 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
1252017A 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
1262017An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equationChein-Shan Liu Applied Mathematics Letters
1272017Solving a singular beam equation by using a weak-form integral equation methodChein-Shan Liu ; Liu, D. J.; Jhao, W. S.Applied Mathematics Letters
1282017A 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
1292017Recovering 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
1302017Recovering 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
1312017A 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
1322017A global domain/boundary integral equation method for the inverse wave source and backward wave problemsChein-Shan Liu Inverse Problems in Science and Engineering
1332016A 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
1342016Homogenized 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
1352016The recovery of external force in nonlinear system by using a weak-form integral methodJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Nonlinear Dynamics
1362016An 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
1372016A 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
1382016Fast 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
1392016Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental SolutionsLin, J.; Chen, C. S.; Chein-Shan Liu Communications in Computational Physics
1402016A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domainChein-Shan Liu Computers & Mathematics with Applications
1412016A 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
1422016A new regularized boundary integral equation for three-dimensional potential gradient fieldQu, W. Z.; Zhang, Y. M.; Chein-Shan Liu Advances in Engineering Software
1432016An integral equation method to recover non-additive and non-separable heat source without initial temperatureChein-Shan Liu International Journal of Heat and Mass Transfer
1442016A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problemsChein-Shan Liu ; Young, D. L.Journal of Computational Physics
1452016The 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
1462016A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equationChein-Shan Liu Engineering Analysis with Boundary Elements
1472016A 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
1482016The 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
1492016A 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
1502016A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problemsChein-Shan Liu Engineering Analysis with Boundary Elements
1512016An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equationsChang, C. W.; Chein-Shan Liu Applied Mathematical Modelling
1522016A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problemsChein-Shan Liu ; Kuo, C. L.Engineering Analysis with Boundary Elements
1532016A global boundary integral equation method for recovering space-time dependent heat sourceChein-Shan Liu ; Chang, C. W.International Journal of Heat and Mass Transfer
1542016Analytical 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
1552016To 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
1562016A 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
1572015Solving 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
1582015Fast-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
1592015A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equationsChein-Shan Liu Computers & Mathematics with Applications
1602015A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domainChein-Shan Liu Applied Mathematical Modelling
1612015Nonlinear 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
1622015Recovering 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
1632015Elastoplastic models and oscillators solved by a Lie-group differential algebraic equations methodChein-Shan Liu International Journal of Non-Linear Mechanics
1642015A 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
1652015An 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
1662015An iterative algorithm for identifying heat source by using a DQ and a Lie-group methodChein-Shan Liu Inverse Problems in Science and Engineering
1672015Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations methodChein-Shan Liu Engineering Analysis with Boundary Elements
1682015A 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
1692015A novel Lie-group theory and complexity of nonlinear dynamical systemsChein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
1702015Double Optimal Regularization Algorithms for Solving Ill-Posed Linear Problems under Large NoiseChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
1712015A double optimal descent algorithm for iteratively solving ill-posed linear inverse problemsChein-Shan Liu Inverse Problems in Science and Engineering
1722015Numerical 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
1732014A 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
1742014Lie-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
1752014Optimal scale polynomial interpolation technique for obtaining periodic solutions to the Duffing oscillatorYue, X. K.; Dai, H. H.; Chein-Shan Liu Nonlinear Dynamics
1762014On-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
1772014The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problemsChang, C. W.; Chein-Shan Liu Applied Mathematical Modelling
1782014Optimal algorithms in a Krylov subspace for solving linear inverse problems by MFSChein-Shan Liu Engineering Analysis with Boundary Elements
1792014A 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
1802014A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solutionChein-Shan Liu Computers & Mathematics with Applications
1812014An LGDAE Method to Solve Nonlinear Cauchy Problem Without Initial TemperatureChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
1822014Analysis 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
1832014To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integratorChein-Shan Liu Inverse Problems in Science and Engineering
1842014Disclosing the Complexity of Nonlinear Ship Rolling and Duffing Oscillators by a Signum FunctionChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
1852014A doubly optimized solution of linear equations system expressed in an affine Krylov subspaceChein-Shan Liu Journal of Computational and Applied Mathematics
1862014A globally optimal tri-vector method to solve an ill-posed linear systemChein-Shan Liu Journal of Computational and Applied Mathematics
1872014The pre/post equilibrated conditioning methods to solve Cauchy problemsChein-Shan Liu Engineering Analysis with Boundary Elements
1882014AN ITERATIVE METHOD TO RECOVER THE HEAT CONDUCTIVITY FUNCTION OF A NONLINEAR HEAT CONDUCTION EQUATIONChein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
1892014A Sliding Mode Control Algorithm for Solving an Ill-posed Positive Linear SystemChein-Shan Liu Cmc-Computers Materials & Continua
1902014Application 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
1912014The Solution of SO(3) through a Single Parameter ODEChein-Shan Liu Journal of Applied Mathematics
1922014A vector regularization method to solve linear inverse problemsChein-Shan Liu Inverse Problems in Science and Engineering
1932014Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization ProblemsChein-Shan Liu Journal of Applied Mathematics
1942013A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equationChein-Shan Liu Engineering Analysis with Boundary Elements
1952013An iterative GL(n, R) method for solving non-linear inverse vibration problemsChein-Shan Liu Nonlinear Dynamics
1962013Developing 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
1972013A Lie-group DSO(n) method for nonlinear dynamical systemsChein-Shan Liu Applied Mathematics Letters
1982013A 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
1992013An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problemsChein-Shan Liu Inverse Problems in Science and Engineering
2002013A method of Lie-symmetry GL(n,R) for solving non-linear dynamical systemsChein-Shan Liu International Journal of Non-Linear Mechanics
2012013An Optimal Preconditioner with an Alternate Relaxation Parameter Used to Solve Ill-Posed Linear ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2022013The 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
2032013A GL(n, R) Differential Algebraic Equation Method for Numerical Differentiation of Noisy SignalChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2042013A New Optimal Iterative Algorithm for Solving Nonlinear Poisson Problems in Heat DiffusionChang, C. W.; Chein-Shan Liu Cmc-Computers Materials & Continua
2052013A Two-Side Equilibration Method to Reduce the Condition Number of an Ill-Posed Linear SystemChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2062013An SL(3,R) shooting method for solving the Falkner-Skan boundary layer equationChein-Shan Liu International Journal of Non-Linear Mechanics
2072013A 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
2082013An Optimal Multi-Vector Iterative Algorithm in a Krylov Subspace for Solving the Ill-Posed Linear Inverse ProblemsChein-Shan Liu Cmc-Computers Materials & Continua
2092013A Dynamical Tikhonov Regularization for Solving Ill-posed Linear Algebraic SystemsChein-Shan Liu Acta Applicandae Mathematicae
2102013Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz methodChein-Shan Liu ; Atluri, S. N.Engineering Analysis with Boundary Elements
2112013Upconversion Luminescence and Photodegradation Performances of Pr Doped Y2SiO5 NanomaterialsYang, Y.; Chein-Shan Liu ; Mao, P.; Wang, L. J.Journal of Nanomaterials
2122013Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group MethodChein-Shan Liu Journal of Applied Mathematics
2132013An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear SystemsChein-Shan Liu Journal of Applied Mathematics
2142013A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, R) Lie-Group Shooting MethodChein-Shan Liu Journal of Applied Mathematics
2152012Computing 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
2162012A New Optimal Scheme for Solving Nonlinear Heat Conduction ProblemsChang, C. W.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2172012The 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
2182012A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equationChein-Shan Liu Acta Mechanica
2192012A MANIFOLD-BASED EXPONENTIALLY CONVERGENT ALGORITHM FOR SOLVING NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONSChein-Shan Liu Journal of Marine Science and Technology-Taiwan
2202012Adaptive 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
2212012An equilibrated method of fundamental solutions to choose the best source points for the Laplace equationChein-Shan Liu Engineering Analysis with Boundary Elements
2222012The Optimal Control Problem of Nonlinear Duffing Oscillator Solved by the Lie-Group Adaptive MethodChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2232012Optimally scaled vector regularization method to solve ill-posed linear problemsChein-Shan Liu Applied Mathematics and Computation
2242012Optimally Generalized Regularization Methods for Solving Linear Inverse ProblemsChein-Shan Liu Cmc-Computers Materials & Continua
2252012A 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
2262012The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problemsChein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
2272012A Globally Optimal Iterative Algorithm to Solve an Ill-Posed Linear SystemChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2282012A 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
2292012The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value ProblemsChein-Shan Liu Journal of Optimization Theory and Applications
2302012A Lie-group shooting method for reconstructing a past time-dependent heat sourceChein-Shan Liu International Journal of Heat and Mass Transfer
2312012The Concept of Best Vector Used to Solve Ill-Posed Linear Inverse ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2322012Numerical 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
2332012Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting methodChein-Shan Liu Inverse Problems in Science and Engineering
2342011An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary dataChein-Shan Liu Applied Mathematics and Computation
2352011AN ANALYTICAL METHOD FOR THE INVERSE CAUCHY PROBLEM OF LAPLACE EQUATION IN A RECTANGULAR PLATEChein-Shan Liu Journal of Mechanics
2362011A 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
2372011The Lie-group shooting method for solving the Bratu equationAbbasbandy, S.; Hashemi, M. S.; Chein-Shan Liu Communications in Nonlinear Science and Numerical Simulation
2382011Iterative 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
2392011An 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
2402011The 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
2412011A Lie-Group Adaptive Method to Identify the Radiative Coefficients in Parabolic Partial Differential EquationsChein-Shan Liu ; Chang, C. W.Cmc-Computers Materials & Continua
2422011A Revision of Relaxed Steepest Descent Method from the Dynamics on an Invariant ManifoldChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2432011A Highly Accurate Multi-Scale Full/Half-Order Polynomial InterpolationChein-Shan Liu Cmc-Computers Materials & Continua
2442011The 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
2452011A 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
2462011A Dynamical Tikhonov Regularization Method for Solving Nonlinear Ill-Posed ProblemsChein-Shan Liu ; Kuo, C. L.Cmes-Computer Modeling in Engineering & Sciences
2472011Dynamical 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
2482011Solving two typical inverse Stefan problems by using the Lie-group shooting methodChein-Shan Liu International Journal of Heat and Mass Transfer
2492011An 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
2502011A 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
2512011Simple "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
2522011Using a Lie-Group Adaptive Method for the Identification of a Nonhomogeneous Conductivity Function and Unknown Boundary DataChein-Shan Liu Cmc-Computers Materials & Continua
2532011A New Insight into the Differential Quadrature Method in Solving 2-D Elliptic PDEsShen, Y. H.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2542011THE 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
2552011A LIE-GROUP ADAPTIVE METHOD TO IDENTIFY SPATIAL-DEPENDENCE HEAT CONDUCTIVITY COEFFICIENTSChein-Shan Liu Numerical Heat Transfer Part B-Fundamentals
2562010A new algorithm for direct and backward problems of heat conduction equationChang, C. W.; Chein-Shan Liu International Journal of Heat and Mass Transfer
2572010A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivityChein-Shan Liu International Journal of Heat and Mass Transfer
2582010A 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
2592010A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave ProblemsChang, C. W.; Chein-Shan Liu Cmc-Computers Materials & Continua
2602010An Iterative and Adaptive Lie-Group Method for Solving the Calderon Inverse ProblemChein-Shan Liu ; Atluri, S. N.Cmes-Computer Modeling in Engineering & Sciences
2612010A 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
2622010Solving 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
2632010On 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
2642010Applications 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
2652010Novel 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
2662010A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Advection-Dispersion EquationChang, C. W.; Chein-Shan Liu Cmc-Computers Materials & Continua
2672010An 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
2682010A Backward Group Preserving Scheme for Multi-Dimensional Backward Heat Conduction ProblemsChang, C. W.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2692010A 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
2702010The Fictitious Time Integration Method to Solve the Space- and Time-Fractional Burgers EquationsChein-Shan Liu Cmc-Computers Materials & Continua
2712010The Lie-Group Shooting Method for Computing the Generalized Sturm-Liouville ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2722010A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Heat Conduction ProblemsChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmc-Computers Materials & Continua
2732010The 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
2742010The Scalar Homotopy Method for Solving Non-Linear Obstacle ProblemChia-Ming Fan ; Chein-Shan Liu ; Wei-Chung Yeih ; Hsin-Fang ChanCmc-Computers Materials & Continua
2752009A 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
2762009An Analytical Method for Computing the One-Dimensional Backward Wave ProblemChein-Shan Liu Cmc-Computers Materials & Continua
2772009A Fictitious Time Integration Method for Backward Advection-Dispersion EquationChang, C. W.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2782009A MODIFIED NEWTON METHOD FOR SOLVING NON-LINEAR ALGEBRAIC EQUATIONSAtluri, S. N.; Chein-Shan Liu ; Kuo, C. L.Journal of Marine Science and Technology-Taiwan
2792009A MATHEMATICAL REVISION OF THE LANDAU-LIFSHITZ EQUATIONChein-Shan Liu ; Chen, K. C.; Yeh, C. S.Journal of Marine Science and Technology-Taiwan
2802009NOVEL METHODS FOR SOLVING SEVERELY ILL-POSED LINEAR EQUATIONS SYSTEMChein-Shan Liu ; Chang, C. W.Journal of Marine Science and Technology-Taiwan
2812009A 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
2822009A New Method for Fredholm Integral Equations of 1D Backward Heat Conduction ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2832009A 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
2842009A Fictitious Time Integration Method for a Quasilinear Elliptic Boundary Value Problem, Defined in an Arbitrary Plane DomainChein-Shan Liu Cmc-Computers Materials & Continua
2852009On 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
2862009Applications 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
2872009A 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
2882009A 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
2892009A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperatureChein-Shan Liu International Journal of Heat and Mass Transfer
2902009A Fictitious Time Integration Method for Solving Delay Ordinary Differential EquationsChein-Shan Liu Cmc-Computers Materials & Continua
2912009A Quasi-Boundary Semi-Analytical Method for Backward in Time Advection-Dispersion EquationChan, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmc-Computers Materials & Continua
2922009The Fourth-Order Group Preserving Methods for the Integrations of Ordinary Differential EquationsLee, H. C.; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2932009A Fictitious Time Integration Method for the Burgers EquationChein-Shan Liu Cmc-Computers Materials & Continua
2942009Applications of the modified Trefftz method for the Laplace equationJiang-Ren Chang ; Chein-Shan Liu ; Yung-Wei Chen Engineering Analysis with Boundary Elements
2952009Conformal Mapping and Bipolar Coordinate for Eccentric Laplace ProblemsJeng-Tzong Chen ; MING-HONG TSAI; Chein-Shan Liu Computer Applications in Engineering Education 10
2962009Solving the Inverse Problems of Laplace Equation to Determine the Robin Coefficient/Cracks' Position Inside a DiskChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2972009A Fictitious Time Integration Method for Solving m-Point Boundary Value ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
2982009A 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
2992008A New Mathematical Modeling of Maxwell Equations: Complex Linear Operator and Complex FieldChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3002008The 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
3012008A 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
3022008Identifying time-dependent damping and stiffness functions by a simple and yet accurate methodChein-Shan Liu Journal of Sound and Vibration
3032008A Lie-Group Shooting Method Estimating Nonlinear Restoring Forces in Mechanical SystemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3042008A 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
3052008A Time-Marching Algorithm for Solving Non-Linear Obstacle Problems with the Aid of an NCP-FunctionChein-Shan Liu Cmc-Computers Materials & Continua
3062008A Highly Accurate MCTM for Inverse Cauchy Problems of Laplace Equation in Arbitrary Plane DomainsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3072008A 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
3082008A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equationChein-Shan Liu Engineering Analysis with Boundary Elements
3092008A Fictitious Time Integration Method for Two-Dimensional Quasilinear Elliptic Boundary Value ProblemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3102008The Lie-group shooting method for thermal stress evaluation through an internal temperature measurementChein-Shan Liu Cmc-Computers Materials & Continua
3112008A 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
3122008A 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
3132008The Lie-group shooting method for solving classical Blasius flat-plate problemChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmc-Computers Materials & Continua
3142008A highly accurate MCTM for direct and inverse problems of biharmonic equation in arbitrary plane domainsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3152008A Lie-group shooting method for post buckling calculations of elasticaChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3162008An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperatureChein-Shan Liu International Journal of Heat and Mass Transfer
3172008Improving the ill-conditioning of the method of fundamental solutions for 2D Laplace equationChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3182008A lie-group shooting method for simultaneously estimating the time-dependent damping and stiffness coefficientsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3192008An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradientChein-Shan Liu Cmc-Computers Materials & Continua
3202008Simultaneously 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
3212008A Lie-group shooting method for computing eigenvalues and eigenfunctions of Sturm-Liouville problemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3222008A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domainsChein-Shan Liu Numerical Methods for Partial Differential Equations
3232008Solving an inverse Sturm-Liouville problem by a Lie-group methodChein-Shan Liu Boundary Value Problems
3242008A two-stage LGSM for three-point BVPs of second-order ODEsChein-Shan Liu Boundary Value Problems
3252007An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic lengthChein-Shan Liu Engineering Analysis with Boundary Elements
3262007A consistent computation of magnetization reversal under a circularly polarized field and an anisotropy fieldChein-Shan Liu Cmc-Computers Materials & Continua
3272007Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement dataChein-Shan Liu Numerical Methods for Partial Differential Equations
3282007A modified Trefftz method for two-dimensional Laplace equation considering the domain's characteristic lengthChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3292007A highly accurate solver for the mixed-boundary potential problem and singular problem in arbitrary plane domainChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3302007New integrating methods for time-varying linear systems and Lie-group computationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3312007A study of type I intermittency of a circular differential equation under a discontinuous right-hand sideChein-Shan Liu Journal of Mathematical Analysis and Applications
3322007A 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
3332007A MRIEM for solving the Laplace equation in the doubly-connected domainChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3342007The 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
3352007A meshless regularized integral equation method for laplace equation in arbitrary interior or exterior plane domainsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3362007Two 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
3372007The computation of modified Landau-Lifshitz equation under an AC fieldChein-Shan Liu Cmc-Computers Materials & Continua
3382007Elastic torsion bar with arbitrary cross-section using the Fredholm integral equationsChein-Shan Liu Cmc-Computers Materials & Continua
3392007Five different formulations of the finite strain perfectly plastic equationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3402007A 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
3412007Highly 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
3422007A New Collocation Method for Motz's ProblemChein-Shan Liu ; Yung-Wei Chen ; Jiang-Ren Chang International Conference on Computational & Experimental Engineering and Sciences
3432007Conformal mapping and bipolar coordinate for eccentric Laplace problemsJeng-Tzong Chen ; Chein-Shan Liu ; Ming-Hong Tsai
3442006The computations of large rotation through an index two nilpotent equationChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3452006The Lie-group shooting method for singularly perturbed two-point boundary value problemsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3462006Efficient shooting methods for the second-order ordinary differential equationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3472006One-step GPS for the estimation of temperature-dependent thermal conductivityChein-Shan Liu International Journal of Heat and Mass Transfer
3482006An efficient simultaneous estimation of temperature-dependent thermophysical propertiesChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3492006THE LIE-GROUP SHOOTING METHOD FOR STEADY-STATE BURGERS EQUATION WITH HIGH REYNOLDS NUMBERJiang-Ren Chang ; Chang, C. W.; Chein-Shan Liu Journal of Hydrodynamics
3502006THE LIE-GROUP SHOOTING METHOD FOR BOUNDARY LAYER EQUATIONS IN FLUID MECHANICSChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Journal of Hydrodynamics
3512006Reid's passive and semi-active hysteretic oscillators with friction force dependence on displacementChein-Shan Liu International Journal of Non-Linear Mechanics
3522006Conformal mapping and bipolar coordinate for eccentric problemsMing-Hong Tsai; Jeng-Tzong Chen ; Chein-Shan Liu 
3532006NEW METHODS FOR ELASTIC TORSION OF BAR WITH ARBITRARY SHAPE OF CROSS-SECTIONChein-Shan Liu 
3542006The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutionsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3552006Steady-state responses of a compliant friction slider under harmonic excitationsChein-Shan Liu ; Su, P. J.Journal of the Chinese Institute of Engineers
3562006Computing Prager's kinematic hardening mixed-control equations in a pseudo-Rriemann manifoldChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3572006Preserving constraints of differential equations by numerical methods based on integrating factorsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3582006A group preserving scheme for Burgers equation with very large Reynolds numberChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3592006An efficient backward group preserving scheme for the backward in time Burgers equationChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3602006Past 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
3612006Fractal basin of elastic shakedown attractors under cyclic rectilinear generalized strain pathsChein-Shan Liu Journal of the Chinese Institute of Engineers
3622006Reconcile the perfectly elastoplastic model to simulate the cyclic behavior and ratchetingChein-Shan Liu International Journal of Solids and Structures
3632005A group preserving scheme for inverse heat conduction problemsChang, C. W.; Jiang-Ren Chang ; Chein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3642005Nonstandard group-preserving schemes for very stiff ordinary differential equationsChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3652005A 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
3662005Geometrical 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
3672005Computational applications of the Poincare group on the elastoplasticity with kinematic hardeningChein-Shan Liu Cmes-Computer Modeling in Engineering & Sciences
3682005Non-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
3692005The asymptotic behavior of perfectly elastoplastic model under periodic square generalized strain pathsChein-Shan Liu Journal of the Chinese Institute of Engineers
3702004The g-based Jordan algebra and Lie algebra formulations of the Maxwell equationsChein-Shan Liu Journal of Mechanics
3712004Internal symmetry groups for perfect elastoplasticity under axial-torsional loadingsChein-Shan Liu Journal of the Chinese Institute of Engineers
3722004Lie group symmetry applied to the computation of convex plasticity constitutive equationChein-Shan Liu ; Chang, C. W.Cmes-Computer Modeling in Engineering & Sciences
3732004Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methodsChein-Shan Liu International Journal of Solids and Structures
3742004Lie symmetry of the Landau-Lifshitz-Gilbert equation and exact linearization in the Minkowski spaceChein-Shan Liu Zeitschrift Fur Angewandte Mathematik Und Physik
3752004Group preserving scheme for backward heat conduction problemsChein-Shan Liu International Journal of Heat and Mass Transfer
3762004The 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
3772004Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrationsChein-Shan Liu International Journal of Solids and Structures
3782004A consistent numerical scheme for the von Mises mixed-hardening constitutive equationsChein-Shan Liu International Journal of Plasticity
3792003Two-dimensional bilinear oscillator: group-preserving scheme and steady-state motion under harmonic loadingChein-Shan Liu International Journal of Non-Linear Mechanics
3802003Two-dimensional friction oscillator: group-preserving scheme and handy formulaeChein-Shan Liu ; Hong, H. K.; Liou, D. Y.Journal of Sound and Vibration
3812003Computational isotropic-workhardening rate-independent elastoplasticityMukherjee, S.; Chein-Shan Liu Journal of Applied Mechanics-Transactions of the Asme
3822003Smoothing elastoplastic stress-strain curves obtained by a critical modification of conventional modelsChein-Shan Liu International Journal of Solids and Structures
3832003The steady-state behavior of the prandtl-reuss material bifurcated under nonproportional circular strain pathsChein-Shan Liu Journal of the Chinese Institute of Engineers
3842003Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticityChein-Shan Liu International Journal of Solids and Structures
3852002Frictional behaviour of a belt-driven and periodically excited oscillatorChein-Shan Liu ; Chang, W. T.Journal of Sound and Vibration
3862002Planar 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
3872002The steady-state responses of a bilinear elastoplastic oscillator under sinusoidal loadingChein-Shan Liu Journal of the Chinese Institute of Engineers
3882001Some physical models with Minkowski spacetime structure and Lorentz group symmetryHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
3892001Cone of non-linear dynamical system and group preserving schemesChein-Shan Liu International Journal of Non-Linear Mechanics
3902001Non-sticking oscillation formulae for Coulomb friction under harmonic loadingHong, H. K.; Chein-Shan Liu Journal of Sound and Vibration
3912001Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticityHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
3922001Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticityChein-Shan Liu ; Hong, H. K.International Journal of Solids and Structures
3932000Intermittent transition to quasiperiodicity demonstrated via a circular differential equationChein-Shan Liu International Journal of Non-Linear Mechanics
3942000The contraction ratios of perfect elastoplasticity under biaxial controlsChein-Shan Liu ; Hong, H. K.European Journal of Mechanics a-Solids
3952000Internal symmetry in the constitutive model of perfect elastoplasticityHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
3962000A Jordan algebra and dynamic system with associator as vector fieldChein-Shan Liu International Journal of Non-Linear Mechanics
3972000Coulomb friction oscillator: Modelling and responses to harmonic loads and base excitationsHong, H. K.; Chein-Shan Liu Journal of Sound and Vibration
3981999Lorentz 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
3991999Internal symmetry in bilinear elastoplasticityHong, H. K.; Chein-Shan Liu International Journal of Non-Linear Mechanics
4001999Non-oscillation criteria for hypoelastic models under simple shear deformationChein-Shan Liu ; Hong, H. K.Journal of Elasticity
4011998On behavior of perfect elastoplasticity under rectilinear pathsHong, H. K.; Chein-Shan Liu International Journal of Solids and Structures
4021997Prandtl-Reuss elastoplasticity: On-off switch and superposition formulaeHong, H. K.; Chein-Shan Liu International Journal of Solids and Structures
4031997Exact solutions and dynamic responses of SDOF bilinear elastoplastic structuresChein-Shan Liu Journal of the Chinese Institute of Engineers
4041997Orientation control of particles and fibers for polymeric liquids and fiber reinforced materialsChein-Shan Liu Journal of the Chinese Institute of Engineers
405-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
406-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