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Mathematics
Taiwan
2026

D-Index & Metrics

Mathematics

D-Index
44
Citations
8059
World Ranking
1586
National Ranking
9

Research.com Recognitions

  • 2026 - Research.com Mathematics in Taiwan Leader Award
  • 2025 - Research.com Mathematics in Taiwan Leader Award

Overview

Chein-Shan Liu is affiliated with National Taiwan Ocean University in Taiwan. The researcher's academic contributions primarily focus on mathematics and engineering, with a significant number of publications in various specialized subfields.

The main fields of study include:

  • Mathematics
  • Engineering

The subfields of study reflect a concentration on computational and applied mathematics disciplines:

  • Numerical Analysis
  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Modeling and Simulation
  • Mathematical Physics

The topics covered in their work range across advanced mathematical methods and engineering numerical techniques, including:

  • Fractional Differential Equations Solutions
  • Numerical methods in engineering
  • Iterative Methods for Nonlinear Equations
  • Matrix Theory and Algorithms
  • Advanced Optimization Algorithms Research
  • Numerical methods in inverse problems
  • Differential Equations and Numerical Methods

Frequent coauthors collaborating with Chein-Shan Liu include:

  • Chih-Wen Chang
  • Chung-Lun Kuo
  • Jiang-Ren Chang
  • Essam R. El-Zahar
  • Botong Li

Published papers span journals and venues that often focus on applied mathematics, computational simulation, and nonlinear analysis.

Recent representative papers include:

  • "A splitting method to solve a single nonlinear equation with derivative-free iterative schemes," 2021, Mathematics and Computers in Simulation
  • "A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations," 2021, Mathematics
  • "A boundary collocation method for anomalous heat conduction analysis in functionally graded materials," 2020, Computers & Mathematics with Applications
  • "A homogenization function method for inverse heat source problems in 3D functionally graded materials," 2020, Applied Mathematical Modelling
  • "Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions," 2020, International Journal of Nonlinear Sciences and Numerical Simulation

Frequent publication venues where Chein-Shan Liu's work appears include:

  • Mathematics
  • Mathematics and Computers in Simulation
  • Engineering Analysis with Boundary Elements
  • Symmetry
  • Journal of Mathematics Research

Best Publications

  • Cone of non-linear dynamical system and group preserving schemes

    Chein-Shan Liu

  • A Novel Time Integration Method for Solving A Large System of Non-Linear Algebraic Equations

    Chein Shan Liu;Satya N. Atluri

  • The Lie-group shooting method for solving the Bratu equation

    S. Abbasbandy;M.S. Hashemi;Chein-Shan Liu

  • A study on the multiple reciprocity method and complex-valued formulation for the Helmholtz equation

    W. Yeih;J. T. Chen;K. H. Chen;F. C. Wong

  • Group preserving scheme for backward heat conduction problems

    Chein-Shan Liu

  • Coulomb friction oscillator : Modelling and responses to harmonic loads and base excitations

    H.-K. Hong;C.-S. Liu

  • A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length

    Chein-Shan Liu

  • An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation

    Chein-Shan Liu

  • A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation

    Chein-Shan Liu

  • The Lie-Group Shooting Method for Nonlinear Two-Point Boundary Value Problems Exhibiting Multiple Solutions

    Chein-Shan Liu

  • Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions

    Ji Lin;C.S. Chen;Chein-Shan Liu;Jun Lu

  • An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length.

    Chein-Shan Liu

  • A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature

    Chein-Shan Liu

  • An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach

    Weichung Yeih;Tatsuhito Koya;Toshio Mura

  • A new shooting method for quasi-boundary regularization of backward heat conduction problems

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

  • Optimal sources in the MFS by minimizing a new merit function: Energy gap functional

    Fajie Wang;Chein-Shan Liu;Chein-Shan Liu;Wenzhen Qu

  • Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems

    C.-S. Liu;C.-W. Chang;J.-R. Chang

  • A boundary collocation method for anomalous heat conduction analysis in functionally graded materials

    Zhuo-Jia Fu;Li-Wen Yang;Qiang Xi;Chein-Shan Liu

  • Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method

    Chein-Shan Liu;Satya N. Atluri

  • Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems

    Chein-Shan Liu;Hong-Ki Hong;Satya N. Atluri

  • Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation

    Fajie Wang;Fajie Wang;Qingsong Hua;Chein-Shan Liu

  • A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory

    Chein-Shan Liu;Satya N. Atluri

Frequent Co-Authors

Ching-Shyang Chen
Ching-Shyang Chen University of Southern Mississippi
Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University
Mir Sajjad Hashemi
Mir Sajjad Hashemi University of Bonab

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