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Chein-Shan Liu
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2020 – today
- 2024
- [j64]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): 211 (2024) - [j63]Chein-Shan Liu
Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems. Algorithms 17(6): 266 (2024) - [j62]Chein-Shan Liu, Chung-Lun Kuo:
The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functions. Eng. Comput. 40(5): 3337-3351 (2024) - [j61]Chein-Shan Liu, Yung-Wei Chen
Precise eigenvalues in the solutions of generalized Sturm-Liouville problems. Math. Comput. Simul. 217: 354-373 (2024) - [j60]Chein-Shan Liu
Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value Problem. Symmetry 16(1): 120 (2024) - [j59]Chein-Shan Liu
A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems. Symmetry 16(2): 191 (2024) - 2023
- [j58]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): 42 (2023) - [j57]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: 640-660 (2023) - 2022
- [j56]Chein-Shan Liu, Chih-Wen Chang
Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems. Math. Comput. Simul. 193: 139-152 (2022) - [j55]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: 317-330 (2022) - [j54]Aimin Deng, Ji Lin
Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions. Math. Comput. Simul. 194: 539-551 (2022) - [j53]Chein-Shan Liu, Chih-Wen Chang
Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems. Symmetry 14(4): 778 (2022) - [j52]Chein-Shan Liu
Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function Method. Symmetry 14(7): 1313 (2022) - 2021
- [j51]Zhuo-Jia Fu
A boundary collocation method for anomalous heat conduction analysis in functionally graded materials. Comput. Math. Appl. 88: 91-109 (2021) - [j50]Chein-Shan Liu, Botong Li:
Solving a singular beam equation by the method of energy boundary functions. Math. Comput. Simul. 185: 419-435 (2021) - [j49]Chein-Shan Liu, Essam Roshdy El-Zahar
Three novel fifth-order iterative schemes for solving nonlinear equations. Math. Comput. Simul. 187: 282-293 (2021) - [j48]Chein-Shan Liu, Essam Roshdy El-Zahar
A boundary shape function iterative method for solving nonlinear singular boundary value problems. Math. Comput. Simul. 187: 614-629 (2021) - [j47]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: 837-847 (2021) - 2020
- [j46]Chein-Shan Liu
The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method. Appl. Math. Lett. 102: 106151 (2020) - [j45]Chein-Shan Liu, Botong Li:
Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method. Math. Comput. Simul. 177: 152-168 (2020)
2010 – 2019
- 2019
- [j44]Chein-Shan Liu
Closed-form higher-order numerical differentiators for differentiating noisy signals. Appl. Math. Comput. 359: 386-403 (2019) - [j43]Chein-Shan Liu
A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. Appl. Math. Lett. 87: 87-92 (2019) - [j42]Chein-Shan Liu
Nonlinear wave inverse source problem solved by a method of m-order homogenization functions. Appl. Math. Lett. 91: 90-96 (2019) - [j41]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: 272-278 (2019) - [j40]Chein-Shan Liu
An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations. Commun. Nonlinear Sci. Numer. Simul. 67: 375-390 (2019) - 2018
- [j39]Chein-Shan Liu
Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions. Appl. Math. Comput. 329: 154-174 (2018) - [j38]Chein-Shan Liu
Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation. Appl. Math. Lett. 79: 138-145 (2018) - [j37]Chein-Shan Liu
Trefftz energy method for solving the Cauchy problem of the Laplace equation. Appl. Math. Lett. 79: 187-195 (2018) - [j36]Chein-Shan Liu
Solving nonlinear singularly perturbed problems by fractional order exponential trial functions. Appl. Math. Lett. 83: 219-226 (2018) - [j35]Fajie Wang
Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Appl. Math. Lett. 84: 130-136 (2018) - [j34]Chein-Shan Liu
Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Appl. Math. Lett. 86: 157-165 (2018) - [j33]Fajie Wang
Optimal sources in the MFS by minimizing a new merit function: Energy gap functional. Appl. Math. Lett. 86: 229-235 (2018) - [j32]Chein-Shan Liu
An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. Comput. Math. Appl. 75(12): 4405-4413 (2018) - [j31]Chein-Shan Liu
A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. Comput. Math. Appl. 76(8): 1837-1852 (2018) - [j30]Ji Lin
A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain. J. Comput. Sci. 25: 16-27 (2018) - 2017
- [j29]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: 51-58 (2017) - [j28]Chein-Shan Liu
An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equation. Appl. Math. Lett. 67: 33-39 (2017) - [j27]Chein-Shan Liu, Botong Li:
Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Appl. Math. Lett. 73: 49-55 (2017) - [j26]Chein-Shan Liu
The polynomial Trefftz method for solving backward and inverse source wave problems. J. Comput. Appl. Math. 321: 211-225 (2017) - [j25]Chein-Shan Liu
An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. J. Comput. Appl. Math. 326: 87-98 (2017) - 2016
- [j24]Wenzhen Qu
A new regularized boundary integral equation for three-dimensional potential gradient field. Adv. Eng. Softw. 96: 83-90 (2016) - [j23]Ji Lin
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Comput. Math. Appl. 72(3): 555-567 (2016) - [j22]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): 1205-1224 (2016) - [j21]Chein-Shan Liu
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. J. Comput. Phys. 312: 1-13 (2016) - [j20]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: 39-54 (2016) - 2015
- [j19]Chein-Shan Liu
A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equations. Comput. Math. Appl. 70(10): 2376-2400 (2015) - [j18]Chein-Shan Liu:
A novel Lie-group theory and complexity of nonlinear dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 20(1): 39-58 (2015) - 2014
- [j17]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): 1998-2014 (2014) - [j16]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): 2012-2038 (2014) - [j15]Chein-Shan Liu
Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems. J. Appl. Math. 2014: 324181:1-324181:14 (2014) - [j14]Chein-Shan Liu
The Solution of SO(3) through a Single Parameter ODE. J. Appl. Math. 2014: 671921:1-671921:9 (2014) - [j13]Chein-Shan Liu
A globally optimal tri-vector method to solve an ill-posed linear system. J. Comput. Appl. Math. 260: 18-35 (2014) - [j12]Chein-Shan Liu
A doubly optimized solution of linear equations system expressed in an affine Krylov subspace. J. Comput. Appl. Math. 260: 375-394 (2014) - 2013
- [j11]Chein-Shan Liu
A Lie-group DSO(n)DSO(n) method for nonlinear dynamical systems. Appl. Math. Lett. 26(7): 710-717 (2013) - [j10]Chein-Shan Liu
Developing an SL(2, R) Lie-group shooting method for a singular ϕ-Laplacian in a nonlinear ODE. Commun. Nonlinear Sci. Numer. Simul. 18(9): 2327-2339 (2013) - [j9]Chein-Shan Liu
An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems. J. Appl. Math. 2013: 154358:1-154358:15 (2013) - [j8]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: 497863:1-497863:13 (2013) - [j7]Chein-Shan Liu
Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group Method. J. Appl. Math. 2013: 987905:1-987905:8 (2013) - 2012
- [j6]Chein-Shan Liu
Optimally scaled vector regularization method to solve ill-posed linear problems. Appl. Math. Comput. 218(21): 10602-10616 (2012) - [j5]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): 4547-4560 (2012) - [j4]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): 7118-7132 (2012) - [j3]Chein-Shan Liu
The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems. J. Optim. Theory Appl. 152(2): 468-495 (2012) - 2011
- [j2]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): 4245-4259 (2011)
2000 – 2009
- 2009
- [j1]Jeng-Tzong Chen
Conformal mapping and bipolar coordinate for eccentric Laplace problems. Comput. Appl. Eng. Educ. 17(3): 314-322 (2009)
Coauthor Index
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