Chein-Shan Liu

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 44

Top Topics

Minimization Problems

Solving Nonlinear

Boundary Value Problem

Single Parameter

Top Venues

Appl. Math. Lett.

Math. Comput. Simul.

Comput. Math. Appl.

Publications

Chein-Shan Liu, Chih-Wen Chang, Chung-Lun Kuo
Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems. Algorithms 17 (6) (2024)
Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush-Kuhn-Tucker Equation for Over-Determined Systems. Algorithms 17 (5) (2024)
Chein-Shan Liu, Chih-Wen Chang, Chung-Lun Kuo
Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value Problem. Symmetry 16 (1) (2024)
Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems. Symmetry 16 (2) (2024)
Chein-Shan Liu, Yung-Wei Chen, Chih-Wen Chang
Precise eigenvalues in the solutions of generalized Sturm-Liouville problems. Math. Comput. Simul. 217 (2024)
Chein-Shan Liu, Lin Qiu
Solving Nonlinear Elliptic Inverse Source, Coefficient and Conductivity Problems by the Methods with Bases Satisfying the Boundary Conditions Automatically. J. Sci. Comput. 95 (2) (2023)
Chein-Shan Liu, Botong Li
Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential. Math. Comput. Simul. 210 (2023)
Chein-Shan Liu, Chih-Wen Chang
Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems. Math. Comput. Simul. 193 (2022)
Chein-Shan Liu, Chih-Wen Chang
Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems. Symmetry 14 (4) (2022)
Chein-Shan Liu, Chih-Wen Chang, Yung-Wei Chen, Yen-Shen Chang
Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function Method. Symmetry 14 (7) (2022)
Aimin Deng, Ji Lin, Chein-Shan Liu
Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions. Math. Comput. Simul. 194 (2022)
Dongjie Liu, Chein-Shan Liu
Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equations. Math. Comput. Simul. 193 (2022)
Zhuo-Jia Fu, Li-Wen Yang, Qiang Xi, Chein-Shan Liu
A boundary collocation method for anomalous heat conduction analysis in functionally graded materials. Comput. Math. Appl. 88 (2021)
Chein-Shan Liu, Hong-Ki Hong, Tsung-Lin Lee
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes. Math. Comput. Simul. 190 (2021)
Chein-Shan Liu, Botong Li
Solving a singular beam equation by the method of energy boundary functions. Math. Comput. Simul. 185 (2021)
Chein-Shan Liu, Essam R. El-Zahar, Chih-Wen Chang
Three novel fifth-order iterative schemes for solving nonlinear equations. Math. Comput. Simul. 187 (2021)
Chein-Shan Liu, Essam R. El-Zahar, Chih-Wen Chang
A boundary shape function iterative method for solving nonlinear singular boundary value problems. Math. Comput. Simul. 187 (2021)
Chein-Shan Liu, Jiang-Ren Chang
The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method. Appl. Math. Lett. 102 (2020)
Chein-Shan Liu, Botong Li
Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method. Math. Comput. Simul. 177 (2020)
Chein-Shan Liu, Fajie Wang, Yan Gu
A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. Appl. Math. Lett. 87 (2019)
Chein-Shan Liu, Leiting Dong
Closed-form higher-order numerical differentiators for differentiating noisy signals. Appl. Math. Comput. 359 (2019)
Chein-Shan Liu, Chih-Wen Chang
Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. Appl. Math. Lett. 94 (2019)
Chein-Shan Liu, Chih-Wen Chang
An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations. Commun. Nonlinear Sci. Numer. Simul. 67 (2019)
Chein-Shan Liu, Lin Qiu, Fajie Wang
Nonlinear wave inverse source problem solved by a method of m-order homogenization functions. Appl. Math. Lett. 91 (2019)
Chein-Shan Liu, Jiang-Ren Chang
Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation. Appl. Math. Lett. 79 (2018)
Chein-Shan Liu
Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions. Appl. Math. Comput. 329 (2018)
Chein-Shan Liu, Chih-Wen Chang
Solving nonlinear singularly perturbed problems by fractional order exponential trial functions. Appl. Math. Lett. 83 (2018)
Ji Lin, Chein-Shan Liu, Wen Chen, Linlin Sun
A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain. J. Comput. Sci. 25 (2018)
Chein-Shan Liu, Fajie Wang
A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. Comput. Math. Appl. 76 (8) (2018)
Chein-Shan Liu, Fajie Wang
An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. Comput. Math. Appl. 75 (12) (2018)
Chein-Shan Liu, Fajie Wang, Yan Gu
Trefftz energy method for solving the Cauchy problem of the Laplace equation. Appl. Math. Lett. 79 (2018)
Fajie Wang, Chein-Shan Liu, Wenzhen Qu
Optimal sources in the MFS by minimizing a new merit function: Energy gap functional. Appl. Math. Lett. 86 (2018)
Chein-Shan Liu, Dongjie Liu
Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Appl. Math. Lett. 86 (2018)
Fajie Wang, Qingsong Hua, Chein-Shan Liu
Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Appl. Math. Lett. 84 (2018)
Chein-Shan Liu
The polynomial Trefftz method for solving backward and inverse source wave problems. J. Comput. Appl. Math. 321 (2017)
Chein-Shan Liu, Peifang Wang, Jiang-Ren Chang
An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. J. Comput. Appl. Math. 326 (2017)
Chein-Shan Liu, Botong Li
Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Appl. Math. Lett. 73 (2017)
Chein-Shan Liu, Dongjie Liu, Wun-Sin Jhao
Solving a singular beam equation by using a weak-form integral equation method. Appl. Math. Lett. 64 (2017)
Chein-Shan Liu
An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equation. Appl. Math. Lett. 67 (2017)
Chein-Shan Liu
A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domain. Comput. Math. Appl. 72 (4) (2016)
Chein-Shan Liu, D. L. Young
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. J. Comput. Phys. 312 (2016)
Wenzhen Qu, Yaoming Zhang, Chein-Shan Liu
A new regularized boundary integral equation for three-dimensional potential gradient field. Adv. Eng. Softw. 96 (2016)
Chein-Shan Liu, Chung-Lun Kuo
A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain. J. Comput. Phys. 321 (2016)
Ji Lin, C. S. Chen, Chein-Shan Liu, Jun Lu
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Comput. Math. Appl. 72 (3) (2016)
Chein-Shan Liu
A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equations. Comput. Math. Appl. 70 (10) (2015)
Chein-Shan Liu
A novel Lie-group theory and complexity of nonlinear dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 20 (1) (2015)
Chein-Shan Liu
A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method. Commun. Nonlinear Sci. Numer. Simul. 19 (6) (2014)
Chein-Shan Liu
A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution. Comput. Math. Appl. 67 (10) (2014)
Chein-Shan Liu
A doubly optimized solution of linear equations system expressed in an affine Krylov subspace. J. Comput. Appl. Math. 260 (2014)
Chein-Shan Liu
(3) through a Single Parameter ODE. J. Appl. Math. 2014 (2014)
Chein-Shan Liu
Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems. J. Appl. Math. 2014 (2014)
Chein-Shan Liu
A globally optimal tri-vector method to solve an ill-posed linear system. J. Comput. Appl. Math. 260 (2014)
Chein-Shan Liu
An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems. J. Appl. Math. 2013 (2013)
Chein-Shan Liu
)DSO(n) method for nonlinear dynamical systems. Appl. Math. Lett. 26 (7) (2013)
Chein-Shan Liu
Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group Method. J. Appl. Math. 2013 (2013)
Chein-Shan Liu
-Laplacian in a nonlinear ODE. Commun. Nonlinear Sci. Numer. Simul. 18 (9) (2013)
Chein-Shan Liu
A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, ℝ) Lie-Group Shooting Method. J. Appl. Math. 2013 (2013)
Chein-Shan Liu
Optimally scaled vector regularization method to solve ill-posed linear problems. Appl. Math. Comput. 218 (21) (2012)
Takemi Shigeta, D. L. Young, Chein-Shan Liu
Adaptive multilayer method of fundamental solutions using a weighted greedy QR decomposition for the Laplace equation. J. Comput. Phys. 231 (21) (2012)
Chein-Shan Liu
The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems. J. Optim. Theory Appl. 152 (2) (2012)
Chein-Shan Liu
Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group SL(2, R). J. Comput. Appl. Math. 236 (17) (2012)
Chein-Shan Liu
An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data. Appl. Math. Comput. 218 (8) (2011)
Jeng-Tzong Chen, Ming-Hong Tsai, Chein-Shan Liu
Conformal mapping and bipolar coordinate for eccentric Laplace problems. Comput. Appl. Eng. Educ. 17 (3) (2009)