Chein-Shan Liu

Orcid: 0000-0001-6366-3539

According to our database1, Chein-Shan Liu authored at least 64 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functions.
Eng. Comput., October, 2024

Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems.
Algorithms, June, 2024

Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush-Kuhn-Tucker Equation for Over-Determined Systems.
Algorithms, May, 2024

Precise eigenvalues in the solutions of generalized Sturm-Liouville problems.
Math. Comput. Simul., March, 2024

A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems.
Symmetry, February, 2024

Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value Problem.
Symmetry, 2024

2023
Solving Nonlinear Elliptic Inverse Source, Coefficient and Conductivity Problems by the Methods with Bases Satisfying the Boundary Conditions Automatically.
J. Sci. Comput., May, 2023

Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential.
Math. Comput. Simul., 2023

2022
Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function Method.
Symmetry, 2022

Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems.
Symmetry, 2022

Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equations.
Math. Comput. Simul., 2022

Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems.
Math. Comput. Simul., 2022

Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions.
Math. Comput. Simul., 2022

2021
Solving a singular beam equation by the method of energy boundary functions.
Math. Comput. Simul., 2021

A splitting method to solve a single nonlinear equation with derivative-free iterative schemes.
Math. Comput. Simul., 2021

A boundary shape function iterative method for solving nonlinear singular boundary value problems.
Math. Comput. Simul., 2021

Three novel fifth-order iterative schemes for solving nonlinear equations.
Math. Comput. Simul., 2021

A boundary collocation method for anomalous heat conduction analysis in functionally graded materials.
Comput. Math. Appl., 2021

2020
Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method.
Math. Comput. Simul., 2020

The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method.
Appl. Math. Lett., 2020

2019
An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations.
Commun. Nonlinear Sci. Numer. Simul., 2019

A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation.
Appl. Math. Lett., 2019

Nonlinear wave inverse source problem solved by a method of m-order homogenization functions.
Appl. Math. Lett., 2019

Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method.
Appl. Math. Lett., 2019

Closed-form higher-order numerical differentiators for differentiating noisy signals.
Appl. Math. Comput., 2019

2018
A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain.
J. Comput. Sci., 2018

A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain.
Comput. Math. Appl., 2018

An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation.
Comput. Math. Appl., 2018

Optimal sources in the MFS by minimizing a new merit function: Energy gap functional.
Appl. Math. Lett., 2018

Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation.
Appl. Math. Lett., 2018

Trefftz energy method for solving the Cauchy problem of the Laplace equation.
Appl. Math. Lett., 2018

Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional.
Appl. Math. Lett., 2018

Solving nonlinear singularly perturbed problems by fractional order exponential trial functions.
Appl. Math. Lett., 2018

Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation.
Appl. Math. Lett., 2018

Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions.
Appl. Math. Comput., 2018

2017
An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile.
J. Comput. Appl. Math., 2017

The polynomial Trefftz method for solving backward and inverse source wave problems.
J. Comput. Appl. Math., 2017

Solving a singular beam equation by using a weak-form integral equation method.
Appl. Math. Lett., 2017

Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method.
Appl. Math. Lett., 2017

An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equation.
Appl. Math. Lett., 2017

2016
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems.
J. Comput. Phys., 2016

A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain.
J. Comput. Phys., 2016

A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domain.
Comput. Math. Appl., 2016

Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions.
Comput. Math. Appl., 2016

A new regularized boundary integral equation for three-dimensional potential gradient field.
Adv. Eng. Softw., 2016

2015
A novel Lie-group theory and complexity of nonlinear dynamical systems.
Commun. Nonlinear Sci. Numer. Simul., 2015

A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equations.
Comput. Math. Appl., 2015

2014
A doubly optimized solution of linear equations system expressed in an affine Krylov subspace.
J. Comput. Appl. Math., 2014

A globally optimal tri-vector method to solve an ill-posed linear system.
J. Comput. Appl. Math., 2014

The Solution of <i>SO</i>(3) through a Single Parameter ODE.
J. Appl. Math., 2014

Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems.
J. Appl. Math., 2014

A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method.
Commun. Nonlinear Sci. Numer. Simul., 2014

A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution.
Comput. Math. Appl., 2014

2013
A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, ℝ) Lie-Group Shooting Method.
J. Appl. Math., 2013

An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems.
J. Appl. Math., 2013

Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, R) Lie-Group Method.
J. Appl. Math., 2013

Developing an SL(2, R) Lie-group shooting method for a singular <i>ϕ</i>-Laplacian in a nonlinear ODE.
Commun. Nonlinear Sci. Numer. Simul., 2013

A Lie-group <i>D</i><i>S</i><i>O</i>(<i>n</i>)DSO(n) method for nonlinear dynamical systems.
Appl. Math. Lett., 2013

2012
The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems.
J. Optim. Theory Appl., 2012

Adaptive multilayer method of fundamental solutions using a weighted greedy QR decomposition for the Laplace equation.
J. Comput. Phys., 2012

Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group SL(2, R).
J. Comput. Appl. Math., 2012

Optimally scaled vector regularization method to solve ill-posed linear problems.
Appl. Math. Comput., 2012

2011
An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data.
Appl. Math. Comput., 2011

2009
Conformal mapping and bipolar coordinate for eccentric Laplace problems.
Comput. Appl. Eng. Educ., 2009


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