Chein-Shan Liu

67 papers Journal 67

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Integral and Numerical Formulations for Seeking the Period of Non-Conservative Nonlinear Oscillator With/Without the First Integral. Symmetry Chein-Shan Liu, Chia-Cheng Tsai, Chih-Wen Chang
2025	J	`jnl`	Solving higher-order nonlocal boundary value problems with high precision by the fixed quasi Newton methods. Math. Comput. Simul. Chein-Shan Liu, Yung-Wei Chen, Jian-Hung Shen, Yen-Shen Chang
2025	J	`jnl`	Two Extrapolation Techniques on Splitting Iterative Schemes to Accelerate the Convergence Speed for Solving Linear Systems. Algorithms Chein-Shan Liu, Botong Li
2024	J	`jnl`	A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems. Symmetry Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
2024	J	`jnl`	Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value Problem. Symmetry Chein-Shan Liu, Chih-Wen Chang, Chung-Lun Kuo
2024	J	`jnl`	Precise eigenvalues in the solutions of generalized Sturm-Liouville problems. Math. Comput. Simul. Chein-Shan Liu, Yung-Wei Chen, Chih-Wen Chang
2024	J	`jnl`	Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems. Algorithms Chein-Shan Liu, Chih-Wen Chang, Chung-Lun Kuo
2024	J	`jnl`	Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush-Kuhn-Tucker Equation for Over-Determined Systems. Algorithms Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
2024	J	`jnl`	The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functions. Eng. Comput. Chein-Shan Liu, Chung-Lun Kuo
2023	J	`jnl`	Solving Nonlinear Elliptic Inverse Source, Coefficient and Conductivity Problems by the Methods with Bases Satisfying the Boundary Conditions Automatically. J. Sci. Comput. Chein-Shan Liu, Lin Qiu
2023	J	`jnl`	Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential. Math. Comput. Simul. Chein-Shan Liu, Botong Li
2022	J	`jnl`	Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions. Math. Comput. Simul. Aimin Deng, Ji Lin, Chein-Shan Liu
2022	J	`jnl`	Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems. Symmetry Chein-Shan Liu, Chih-Wen Chang
2022	J	`jnl`	Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems. Math. Comput. Simul. Chein-Shan Liu, Chih-Wen Chang
2022	J	`jnl`	Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function Method. Symmetry Chein-Shan Liu, Chih-Wen Chang, Yung-Wei Chen, Yen-Shen Chang
2022	J	`jnl`	Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equations. Math. Comput. Simul. Dongjie Liu, Chein-Shan Liu
2021	J	`jnl`	A boundary collocation method for anomalous heat conduction analysis in functionally graded materials. Comput. Math. Appl. Zhuo-Jia Fu, Li-Wen Yang, Qiang Xi, Chein-Shan Liu
2021	J	`jnl`	A boundary shape function iterative method for solving nonlinear singular boundary value problems. Math. Comput. Simul. Chein-Shan Liu, Essam Roshdy El-Zahar, Chih-Wen Chang
2021	J	`jnl`	A splitting method to solve a single nonlinear equation with derivative-free iterative schemes. Math. Comput. Simul. Chein-Shan Liu, Hong-Ki Hong, Tsung-Lin Lee
2021	J	`jnl`	Solving a singular beam equation by the method of energy boundary functions. Math. Comput. Simul. Chein-Shan Liu, Botong Li
2021	J	`jnl`	Three novel fifth-order iterative schemes for solving nonlinear equations. Math. Comput. Simul. Chein-Shan Liu, Essam Roshdy El-Zahar, Chih-Wen Chang
2020	J	`jnl`	Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method. Math. Comput. Simul. Chein-Shan Liu, Botong Li
2020	J	`jnl`	The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method. Appl. Math. Lett. Chein-Shan Liu, Jiang-Ren Chang
2019	J	`jnl`	A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. Appl. Math. Lett. Chein-Shan Liu, Fajie Wang, Yan Gu
2019	J	`jnl`	An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations. Commun. Nonlinear Sci. Numer. Simul. Chein-Shan Liu, Chih-Wen Chang
2019	J	`jnl`	Closed-form higher-order numerical differentiators for differentiating noisy signals. Appl. Math. Comput. Chein-Shan Liu, Leiting Dong
2019	J	`jnl`	Nonlinear wave inverse source problem solved by a method of m-order homogenization functions. Appl. Math. Lett. Chein-Shan Liu, Lin Qiu, Fajie Wang
2019	J	`jnl`	Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. Appl. Math. Lett. Chein-Shan Liu, Chih-Wen Chang
2018	J	`jnl`	A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. Comput. Math. Appl. Chein-Shan Liu, Fajie Wang
2018	J	`jnl`	A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain. J. Comput. Sci. Ji Lin, Chein-Shan Liu, Wen Chen, Linlin Sun
2018	J	`jnl`	An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. Comput. Math. Appl. Chein-Shan Liu, Fajie Wang
2018	J	`jnl`	Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Appl. Math. Lett. Fajie Wang, Qingsong Hua, Chein-Shan Liu
2018	J	`jnl`	Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Appl. Math. Lett. Chein-Shan Liu, Dongjie Liu
2018	J	`jnl`	Optimal sources in the MFS by minimizing a new merit function: Energy gap functional. Appl. Math. Lett. Fajie Wang, Chein-Shan Liu, Wenzhen Qu
2018	J	`jnl`	Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation. Appl. Math. Lett. Chein-Shan Liu, Jiang-Ren Chang
2018	J	`jnl`	Solving nonlinear singularly perturbed problems by fractional order exponential trial functions. Appl. Math. Lett. Chein-Shan Liu, Chih-Wen Chang
2018	J	`jnl`	Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions. Appl. Math. Comput. Chein-Shan Liu
2018	J	`jnl`	Trefftz energy method for solving the Cauchy problem of the Laplace equation. Appl. Math. Lett. Chein-Shan Liu, Fajie Wang, Yan Gu
2017	J	`jnl`	An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. J. Comput. Appl. Math. Chein-Shan Liu, Peifang Wang, Jiang-Ren Chang
2017	J	`jnl`	An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equation. Appl. Math. Lett. Chein-Shan Liu
2017	J	`jnl`	Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Appl. Math. Lett. Chein-Shan Liu, Botong Li
2017	J	`jnl`	Solving a singular beam equation by using a weak-form integral equation method. Appl. Math. Lett. Chein-Shan Liu, Dongjie Liu, Wun-Sin Jhao
2017	J	`jnl`	The polynomial Trefftz method for solving backward and inverse source wave problems. J. Comput. Appl. Math. Chein-Shan Liu
2016	J	`jnl`	A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domain. Comput. Math. Appl. Chein-Shan Liu
2016	J	`jnl`	A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain. J. Comput. Phys. Chein-Shan Liu, Chung-Lun Kuo
2016	J	`jnl`	A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. J. Comput. Phys. Chein-Shan Liu, D. L. Young
2016	J	`jnl`	A new regularized boundary integral equation for three-dimensional potential gradient field. Adv. Eng. Softw. Wenzhen Qu, Yaoming Zhang, Chein-Shan Liu
2016	J	`jnl`	Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Comput. Math. Appl. Ji Lin, C. S. Chen, Chein-Shan Liu, Jun Lu
2015	J	`jnl`	A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equations. Comput. Math. Appl. Chein-Shan Liu
2015	J	`jnl`	A novel Lie-group theory and complexity of nonlinear dynamical systems. Commun. Nonlinear Sci. Numer. Simul. Chein-Shan Liu
2014	J	`jnl`	A doubly optimized solution of linear equations system expressed in an affine Krylov subspace. J. Comput. Appl. Math. Chein-Shan Liu
2014	J	`jnl`	A globally optimal tri-vector method to solve an ill-posed linear system. J. Comput. Appl. Math. Chein-Shan Liu
2014	J	`jnl`	A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution. Comput. Math. Appl. Chein-Shan Liu
2014	J	`jnl`	A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method. Commun. Nonlinear Sci. Numer. Simul. Chein-Shan Liu
2014	J	`jnl`	Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems. J. Appl. Math. Chein-Shan Liu
2014	J	`jnl`	The Solution of J. Appl. Math. Chein-Shan Liu
2013	J	`jnl`	A Lie-group Appl. Math. Lett. Chein-Shan Liu
2013	J	`jnl`	A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, ℝ) Lie-Group Shooting Method. J. Appl. Math. Chein-Shan Liu
2013	J	`jnl`	An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems. J. Appl. Math. Chein-Shan Liu
2013	J	`jnl`	Developing an SL(2, R) Lie-group shooting method for a singular Commun. Nonlinear Sci. Numer. Simul. Chein-Shan Liu
2013	J	`jnl`	Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group Method. J. Appl. Math. Chein-Shan Liu
2012	J	`jnl`	Adaptive multilayer method of fundamental solutions using a weighted greedy QR decomposition for the Laplace equation. J. Comput. Phys. Takemi Shigeta, D. L. Young, Chein-Shan Liu
2012	J	`jnl`	Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group SL(2, R). J. Comput. Appl. Math. Chein-Shan Liu
2012	J	`jnl`	Optimally scaled vector regularization method to solve ill-posed linear problems. Appl. Math. Comput. Chein-Shan Liu
2012	J	`jnl`	The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems. J. Optim. Theory Appl. Chein-Shan Liu
2011	J	`jnl`	An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data. Appl. Math. Comput. Chein-Shan Liu
2009	J	`jnl`	Conformal mapping and bipolar coordinate for eccentric Laplace problems. Comput. Appl. Eng. Educ. Jeng-Tzong Chen, Ming-Hong Tsai, Chein-Shan Liu