Works by Chein-Shan Liu

Results: 90

Linearly Perturbed Frequency Equation, New Frequency Formula, and a Linearized Galerkin Method for Nonlinear Vibrational Oscillators.

Published in:

Vibration (2571-631X), 2025, v. 8, n. 2, p. 16, doi. 10.3390/vibration8020016

By:

Liu, Chein-Shan;
Tsai, Chia-Cheng;
Chang, Chih-Wen

Publication type:

Article

A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 19, p. 3689, doi. 10.3390/math10193689

By:

Liu, Chein-Shan;
Chang, Jiang-Ren;
Shen, Jian-Hung;
Chen, Yung-Wei

Publication type:

Article

To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 17, p. 3112, doi. 10.3390/math10173112

By:

Liu, Chein-Shan;
Chang, Chih-Wen;
Chen, Yung-Wei;
Shen, Jian-Hung

Publication type:

Article

Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 15, p. 2791, doi. 10.3390/math10152791

By:

Liu, Chein-Shan;
El-Zahar, Essam R.;
Chang, Chih-Wen

Publication type:

Article

Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two Parameters.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 13, p. 2256, doi. 10.3390/math10132256

By:

Lu, Jun;
Shi, Lianpeng;
Liu, Chein-Shan;
Chen, C. S.

Publication type:

Article

A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations.

Published in:

Mathematics (2227-7390), 2021, v. 9, n. 23, p. 3070, doi. 10.3390/math9233070

By:

Liu, Chein-Shan;
Chen, Yung-Wei

Publication type:

Article

Solving singular convection–diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functions.

Published in:

Journal of King Saud University - Science, 2018, v. 30, n. 1, p. 100, doi. 10.1016/j.jksus.2016.09.011

By:

Liu, Chein-Shan

Publication type:

Article

A new method for the deflection analysis of composite beams with periodically varying interfaces.

Published in:

ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2018, v. 98, n. 5, p. 718, doi. 10.1002/zamm.201700153

By:

Li, Botong;
Liu, Chein‐Shan

Publication type:

Article

Identifying space-time dependent force on the vibrating Euler–Bernoulli beam by a boundary functional method.

Published in:

Journal of Inverse & Ill-Posed Problems, 2020, v. 28, n. 3, p. 367, doi. 10.1515/jiip-2019-0013

By:

Liu, Chein-Shan;
Li, Botong

Publication type:

Article

Enhance Stability of Successive Over-Relaxation Method and Orthogonalized Symmetry Successive Over-Relaxation in a Larger Range of Relaxation Parameter.

Published in:

Symmetry (20738994), 2024, v. 16, n. 7, p. 907, doi. 10.3390/sym16070907

By:

Liu, Chein-Shan;
Chang, Chih-Wen

Publication type:

Article

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

Published in:

Symmetry (20738994), 2024, v. 16, n. 2, p. 191, doi. 10.3390/sym16020191

By:

Liu, Chein-Shan;
Kuo, Chung-Lun;
Chang, Chih-Wen

Publication type:

Article

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

Published in:

Symmetry (20738994), 2024, v. 16, n. 1, p. 120, doi. 10.3390/sym16010120

By:

Liu, Chein-Shan;
Chang, Chih-Wen;
Kuo, Chung-Lun

Publication type:

Article

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

Published in:

Symmetry (20738994), 2022, v. 14, n. 7, p. N.PAG, doi. 10.3390/sym14071313

By:

Liu, Chein-Shan;
Chang, Chih-Wen;
Chen, Yung-Wei;
Chang, Yen-Shen

Publication type:

Article

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

Published in:

Symmetry (20738994), 2022, v. 14, n. 4, p. N.PAG, doi. 10.3390/sym14040778

By:

Liu, Chein-Shan;
Chang, Chih-Wen

Publication type:

Article

The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula.

Published in:

Applications of Mathematics, 2024, v. 69, n. 3, p. 355, doi. 10.21136/AM.2024.0005-21

By:

Liu, Chein-Shan;
Li, Botong

Publication type:

Article

Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions.

Published in:

Applications of Mathematics, 2019, v. 64, n. 6, p. 679, doi. 10.21136/AM.2019.0066-19

By:

Liu, Chein-Shan;
Li, Botong

Publication type:

Article

A simple noniterative method for recovering a space‐dependent load on the Euler‐Bernoulli beam equation.

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 17, p. 7641, doi. 10.1002/mma.5226

By:

Liu, Chein‐Shan;
Jhao, Wun‐Sin;
Chang, Chih‐Wen

Publication type:

Article

Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term.

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 5, p. 1855, doi. 10.1002/mma.4712

By:

Liu, Chein‐Shan;
Li, Botong

Publication type:

Article

An R(x)-orthonormal theory for the vibration performance of a non-smooth symmetric composite beam with complex interface.

Published in:

Acta Mechanica Sinica, 2019, v. 35, n. 1, p. 228, doi. 10.1007/s10409-018-0799-3

By:

Liu, Chein-Shan;
Li, Bo-Tong

Publication type:

Article

The recovery of external force in nonlinear system by using a weak-form integral method.

Published in:

Nonlinear Dynamics, 2016, v. 86, n. 2, p. 987, doi. 10.1007/s11071-016-2939-2

By:

Liu, Chein-Shan;
Chang, Jiang-Ren;
Chen, Yung-Wei

Publication type:

Article

Optimal scale polynomial interpolation technique for obtaining periodic solutions to the Duffing oscillator.

Published in:

Nonlinear Dynamics, 2014, v. 77, n. 4, p. 1455, doi. 10.1007/s11071-014-1391-4

By:

Yue, Xiao-Kui;
Dai, Hong-Hua;
Liu, Chein-Shan

Publication type:

Article

A Dynamical Tikhonov Regularization for Solving Ill-posed Linear Algebraic Systems.

Published in:

Acta Applicandae Mathematicae, 2013, v. 123, n. 1, p. 285, doi. 10.1007/s10440-012-9766-3

By:

Liu, Chein-Shan

Publication type:

Article

Optimal Shape Factor and Fictitious Radius in the MQ-RBF: Solving Ill-Posed Laplacian Problems.

Published in:

Computer Modeling in Engineering & Sciences (CMES), 2024, v. 139, n. 3, p. 3189, doi. 10.32604/cmes.2023.046002

By:

Chein-Shan Liu;
Chung-Lun Kuo;
Chih-Wen Chang

Publication type:

Article

Highly Accurate Golden Section Search Algorithms and Fictitious Time Integration Method for Solving Nonlinear Eigenvalue Problems.

Published in:

Computer Modeling in Engineering & Sciences (CMES), 2024, v. 139, n. 2, p. 1317, doi. 10.32604/cmes.2023.030618

By:

Chein-Shan Liu;
Jian-Hung Shen;
Chung-Lun Kuo;
Yung-Wei Chen

Publication type:

Article

Nonlinear Algebraic Equations Solved by an Optimal Splitting-Linearizing Iterative Method.

Published in:

Computer Modeling in Engineering & Sciences (CMES), 2023, v. 135, n. 2, p. 1111, doi. 10.32604/cmes.2022.021655

By:

Chein-Shan Liu;
El-Zahar, Essam R.;
Yung-Wei Chen

Publication type:

Article

A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation.

Published in:

Acta Mechanica, 2012, v. 223, n. 10, p. 2207, doi. 10.1007/s00707-012-0707-z

By:

Liu, Chein-Shan

Publication type:

Article

Reducing the near boundary errors of nonhomogeneous heat equations by boundary consistent methods.

Published in:

IMA Journal of Applied Mathematics, 2020, v. 85, n. 6, p. 913, doi. 10.1093/imamat/hxaa029

By:

Liu, Chein-Shan;
Chang, Chih-Wen

Publication type:

Article

Solving nonlinear parabolic equations under nonlocal conditions by a nonlocal boundary shape function and splitting-linearizing method.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2022, v. 81, n. 1-6, p. 38, doi. 10.1080/10407790.2022.2063606

By:

Liu, Chein-Shan;
Chang, Chih-Wen

Publication type:

Article

Solving a nonlinear heat equation with nonlocal boundary conditions by a method of nonlocal boundary shape functions.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2021, v. 80, n. 1/2, p. 1, doi. 10.1080/10407790.2021.1945243

By:

Liu, Chein-Shan;
Chang, Jiang-Ren

Publication type:

Article

Identifying heat conductivity and source functions for a nonlinear convective-diffusive equation by energetic boundary functional methods.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2020, v. 78, n. 4, p. 248, doi. 10.1080/10407790.2020.1777790

By:

Liu, Chein-Shan;
Chen, Han-Taw;
Chang, Jiang-Ren

Publication type:

Article

Solving heat equations under convection boundary conditions by a high-performance space-time boundary shape functions method.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2020, v. 77, n. 4, p. 311, doi. 10.1080/10407790.2020.1713623

By:

Liu, Chein-Shan;
Qiu, Lin;
Lin, Ji

Publication type:

Article

A regularized Fourier sine series solution of a 3D backward heat conduction problem with extremal long time span.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2018, v. 74, n. 6, p. 807, doi. 10.1080/10407790.2019.1580046

By:

Liu, Chein-Shan;
Chen, Yung-Wei;
Chang, Jiang-Ren

Publication type:

Article

Numerically solving twofold ill-posed inverse problems of heat equation by the adjoint Trefftz method.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2018, v. 73, n. 1, p. 48, doi. 10.1080/10407790.2017.1420317

By:

Liu, Chein-Shan;
Qu, Wenzhen;
Zhang, Yaoming

Publication type:

Article

Recovering both the space-dependent heat source and the initial temperature by using a fast convergent iterative method.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2017, v. 72, n. 3, p. 233, doi. 10.1080/10407790.2017.1370954

By:

Liu, Chein-Shan;
Kuo, Chung-Lun;
Wang, Fajie

Publication type:

Article

Recovering a general space-time-dependent heat source by the coupled boundary integral equation method.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2017, v. 71, n. 3, p. 283, doi. 10.1080/10407790.2016.1277918

By:

Liu, Chein-Shan;
Liu, Dongjie

Publication type:

Article

Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method.

Published in:

Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 2, p. 1287, doi. 10.1002/num.22934

By:

Liu, Chein‐Shan;
Qiu, Lin

Publication type:

Article

Application of a modified manifold-based exponentially convergent algorithm to solve elliptic boundary-value problems.

Published in:

IMA Journal of Numerical Analysis, 2014, v. 34, n. 1, p. 362, doi. 10.1093/imanum/drt003

By:

Chen, Yung-Wei;
Chang, Chun-Ming;
Liu, Chein-Shan;
Chang, Jiang-Ren

Publication type:

Article

THE LIE-GROUP SHOOTING METHOD FOR STEADY-STATE BURGERS EQUATION WITH HIGH REYNOLDS NUMBER <sup></sup> [] Project supported by the National Science Council (Grant No: NSC 94-2212-E-019-005).

Published in:

Journal of Hydrodynamics, 2006, v. 18, n. 3, p. 367, doi. 10.1016/S1001-6058(06)60080-2

By:

LIU, Chein-Shan;
CHANG, Jiang-Ren;
CHANG, Chih-Wen

Publication type:

Article

THE LIE-GROUP SHOOTING METHOD FOR BOUNDARY LAYER EQUATIONS IN FLUID MECHANICS <sup></sup> [] Project supported by the National Science Council (Grant No: NSC 94-2212-E-019-005).

Published in:

Journal of Hydrodynamics, 2006, v. 18, n. 3, p. 103, doi. 10.1016/S1001-6058(06)60038-3

By:

CHANG, Chih-Wen;
CHANG, Jiang-Ren;
LIU, Chein-Shan

Publication type:

Article

The Lie-group shooting method for steady-state Burgers equation with high Reynolds number.

Published in:

Journal of Hydrodynamics, 2006, v. 18, n. 1, p. 359, doi. 10.1007/BF03400473

By:

Liu, Chein-Shan;
Chang, Jiang-Ren;
Chang, Chih-Wen

Publication type:

Article

The Lie-group shooting method for boundary layer equations in fluid mechanics.

Published in:

Journal of Hydrodynamics, 2006, v. 18, n. 1, p. 101, doi. 10.1007/BF03400431

By:

Chang, Chih-Wen;
Chang, Jiang-Ren;
Liu, Chein-Shan

Publication type:

Article

The Solution of SO(3) through a Single Parameter ODE.

Published in:

Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/671921

By:

Chein-Shan Liu

Publication type:

Article

Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems.

Published in:

Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/324181

By:

Chein-Shan Liu

Publication type:

Article

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

Published in:

Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/987905

By:

Chein-Shan Liu

Publication type:

Article

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

Published in:

Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/497863

By:

Chein-Shan Liu

Publication type:

Article

An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems.

Published in:

Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/154358

By:

Chein-Shan Liu

Publication type:

Article

Numerical Simulations of Complex Helmholtz Equations Using Two-Block Splitting Iterative Schemes with Optimal Values of Parameters.

Published in:

AppliedMath, 2024, v. 4, n. 4, p. 1256, doi. 10.3390/appliedmath4040068

By:

Liu, Chein-Shan;
Chang, Chih-Wen;
Tsai, Chia-Cheng

Publication type:

Article

Conformal mapping and bipolar coordinate for eccentric Laplace problems.

Published in:

Computer Applications in Engineering Education, 2009, v. 17, n. 3, p. 314, doi. 10.1002/cae.20208

By:

Jeng-Tzong Chen;
Ming-Hong Tsai;
Chein-Shan Liu

Publication type:

Article

A General Algorithm on the Natural Vibration Analysis of Composite Beams with Arbitrary Complex Interfaces.

Published in:

Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, v. 73, n. 11, p. 995, doi. 10.1515/zna-2018-0266

By:

Li, Botong;
Liu, Chein-Shan;
Zhu, Liangliang

Publication type:

Article

Vibration Analysis of Composite Beams with Sinusoidal Periodically Varying Interfaces.

Published in:

Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, v. 73, n. 1, p. 57, doi. 10.1515/zna-2017-0248

By:

Li, Botong;
Liu, Chein-Shan;
Zhu, Liangliang

Publication type:

Article