Works by Chein-Shan Liu
Results: 88
A new method for the deflection analysis of composite beams with periodically varying interfaces.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2018, v. 98, n. 5, p. 718, doi. 10.1002/zamm.201700153
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- Article
Variational Iteration and Linearized Liapunov Methods for Seeking the Analytic Solutions of Nonlinear Boundary Value Problems.
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- Mathematics (2227-7390), 2025, v. 13, n. 3, p. 354, doi. 10.3390/math13030354
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- Article
Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators.
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- Mathematics (2227-7390), 2025, v. 13, n. 1, p. 162, doi. 10.3390/math13010162
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- Article
Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations.
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- Mathematics (2227-7390), 2024, v. 12, n. 22, p. 3557, doi. 10.3390/math12223557
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- Article
Optimal Combination of the Splitting–Linearizing Method to SSOR and SAOR for Solving the System of Nonlinear Equations.
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- Mathematics (2227-7390), 2024, v. 12, n. 12, p. 1808, doi. 10.3390/math12121808
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- Article
Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse.
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- Mathematics (2227-7390), 2024, v. 12, n. 11, p. 1761, doi. 10.3390/math12111761
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- Article
Numerical Analysis for Sturm–Liouville Problems with Nonlocal Generalized Boundary Conditions.
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- Mathematics (2227-7390), 2024, v. 12, n. 8, p. 1265, doi. 10.3390/math12081265
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- Article
Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations.
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- Mathematics (2227-7390), 2024, v. 12, n. 7, p. 1032, doi. 10.3390/math12071032
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- Article
New Memory-Updating Methods in Two-Step Newton's Variants for Solving Nonlinear Equations with High Efficiency Index.
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- Mathematics (2227-7390), 2024, v. 12, n. 4, p. 581, doi. 10.3390/math12040581
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- Article
A Two-Dimensional Variant of Newton's Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes.
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- Mathematics (2227-7390), 2023, v. 11, n. 21, p. 4529, doi. 10.3390/math11214529
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- Article
Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems.
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- Mathematics (2227-7390), 2023, v. 11, n. 18, p. 3997, doi. 10.3390/math11183997
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- Article
Dynamical Optimal Values of Parameters in the SSOR, AOR, and SAOR Testing Using Poisson Linear Equations.
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- Mathematics (2227-7390), 2023, v. 11, n. 18, p. 3828, doi. 10.3390/math11183828
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- Article
A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems.
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- Mathematics (2227-7390), 2022, v. 10, n. 19, p. 3689, doi. 10.3390/math10193689
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- Article
To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions.
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- Mathematics (2227-7390), 2022, v. 10, n. 17, p. 3112, doi. 10.3390/math10173112
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- Article
Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients.
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- Mathematics (2227-7390), 2022, v. 10, n. 15, p. 2791, doi. 10.3390/math10152791
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- Article
Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two Parameters.
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- Mathematics (2227-7390), 2022, v. 10, n. 13, p. 2256, doi. 10.3390/math10132256
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- Article
A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations.
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- Mathematics (2227-7390), 2021, v. 9, n. 23, p. 3070, doi. 10.3390/math9233070
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- Article
Enhance Stability of Successive Over-Relaxation Method and Orthogonalized Symmetry Successive Over-Relaxation in a Larger Range of Relaxation Parameter.
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- Symmetry (20738994), 2024, v. 16, n. 7, p. 907, doi. 10.3390/sym16070907
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- Article
A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems.
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- Symmetry (20738994), 2024, v. 16, n. 2, p. 191, doi. 10.3390/sym16020191
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- Article
Memory-Accelerating Methods for One-Step Iterative Schemes with Lie Symmetry Method Solving Nonlinear Boundary-Value Problem.
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- Symmetry (20738994), 2024, v. 16, n. 1, p. 120, doi. 10.3390/sym16010120
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- Article
Periodic Orbits of Nonlinear Ordinary Differential Equations Computed by a Boundary Shape Function Method.
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- Symmetry (20738994), 2022, v. 14, n. 7, p. N.PAG, doi. 10.3390/sym14071313
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- Article
Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems.
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- Symmetry (20738994), 2022, v. 14, n. 4, p. N.PAG, doi. 10.3390/sym14040778
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- Article
A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation.
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- Acta Mechanica, 2012, v. 223, n. 10, p. 2207, doi. 10.1007/s00707-012-0707-z
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- Article
Solving singular convection–diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functions.
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- Journal of King Saud University - Science, 2018, v. 30, n. 1, p. 100, doi. 10.1016/j.jksus.2016.09.011
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- Article
The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula.
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- Applications of Mathematics, 2024, v. 69, n. 3, p. 355, doi. 10.21136/AM.2024.0005-21
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- Article
Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions.
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- Applications of Mathematics, 2019, v. 64, n. 6, p. 679, doi. 10.21136/AM.2019.0066-19
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- Article
Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method.
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- Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 2, p. 1287, doi. 10.1002/num.22934
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- Article
The backward group preserving scheme for 1D backward in time advection-dispersion equation.
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- Numerical Methods for Partial Differential Equations, 2010, v. 26, n. 1, p. 61, doi. 10.1002/num.20415
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- Article
A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains.
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- Numerical Methods for Partial Differential Equations, 2008, v. 24, n. 1, p. 179, doi. 10.1002/num.20257
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- Article
Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2023, v. 24, n. 7, p. 2731, doi. 10.1515/ijnsns-2021-0209
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- Article
Solving nonlinear third-order boundary value problems based-on boundary shape functions.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2022, v. 23, n. 7/8, p. 1173, doi. 10.1515/ijnsns-2020-0114
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- Article
Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2020, v. 21, n. 7/8, p. 797, doi. 10.1515/ijnsns-2019-0209
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- Article
Novel method for analyzing the behavior of composite beams with non-smooth interfaces.
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- International Journal of Mechanics & Materials in Design, 2019, v. 15, n. 4, p. 671, doi. 10.1007/s10999-018-09436-8
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- Article
Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions.
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- Boundary Value Problems, 2020, v. 2020, n. 1, p. 1, doi. 10.1186/s13661-020-01436-y
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- Article
Conformal mapping and bipolar coordinate for eccentric Laplace problems.
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- Computer Applications in Engineering Education, 2009, v. 17, n. 3, p. 314, doi. 10.1002/cae.20208
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Solving Non-Linear Algebraic Equations by a Scalar Newton-homotopy Continuation Method.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2010, v. 11, n. 6, p. 435
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- Article
Rayleigh quotient and orthogonality in the linear space of boundary functions, finding accurate upper bounds of natural frequencies of non-uniform beams.
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- Archive of Applied Mechanics, 2020, v. 90, n. 8, p. 1737, doi. 10.1007/s00419-020-01693-4
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- Article
Boundary stress analysis using a new regularized boundary integral equation for three-dimensional elasticity problems.
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- Archive of Applied Mechanics, 2017, v. 87, n. 7, p. 1213, doi. 10.1007/s00419-017-1242-0
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- 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).
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- Journal of Hydrodynamics, 2006, v. 18, n. 3, p. 367, doi. 10.1016/S1001-6058(06)60080-2
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- 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).
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- Journal of Hydrodynamics, 2006, v. 18, n. 3, p. 103, doi. 10.1016/S1001-6058(06)60038-3
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- Article
The Lie-group shooting method for steady-state Burgers equation with high Reynolds number.
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- Journal of Hydrodynamics, 2006, v. 18, n. 1, p. 359, doi. 10.1007/BF03400473
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- Article
The Lie-group shooting method for boundary layer equations in fluid mechanics.
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- Journal of Hydrodynamics, 2006, v. 18, n. 1, p. 101, doi. 10.1007/BF03400431
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- Article
An R(x)-orthonormal theory for the vibration performance of a non-smooth symmetric composite beam with complex interface.
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- Acta Mechanica Sinica, 2019, v. 35, n. 1, p. 228, doi. 10.1007/s10409-018-0799-3
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- Article
The Solution of SO(3) through a Single Parameter ODE.
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- Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/671921
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Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems.
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- Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/324181
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- Article
Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n,R) Lie-Group Method.
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- Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/987905
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- Article
A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3,R) Lie-Group Shooting Method.
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- Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/497863
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An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems.
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- Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/154358
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- Article
A General Algorithm on the Natural Vibration Analysis of Composite Beams with Arbitrary Complex Interfaces.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, v. 73, n. 11, p. 995, doi. 10.1515/zna-2018-0266
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- Article
Vibration Analysis of Composite Beams with Sinusoidal Periodically Varying Interfaces.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, v. 73, n. 1, p. 57, doi. 10.1515/zna-2017-0248
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