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Advances in Applied Mathematics and Mechanics
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  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    48497 3586 Pages:480-502
  • Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography

    Zhuochao Tang, Zhuojia Fu, Dongjian Zheng, Jundong Huang
    2018-09-17
    48525 3542 Pages:912-924
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    25203 2512 Pages:927-951
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    42689 4632 Pages:1-20
  • Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics

    Junpu Li, Zhuojia Fu, Yan Gu, Qing-Hua Qin
    2022-01-24
    43122 3358 Pages:315-343
  • A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics

    Aixia Zhang, Yan Gu, Qingsong Hua, Wen Chen
    2021-07-01
    47486 4211 Pages:1459-1477
  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method

    Ji Lin, Chuanzeng Zhang, Linlin Sun, Jun Lu
    2018-09-17
    56153 3439 Pages:322-342
  • Analysis of Two-Dimensional Thin Structures (from Micro- to Nano-Scales) Using the Singular Boundary Method

    Dejian Shen, Yan Gu
    2018-05-05
    42037 3052 Pages:597-609
  • Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

    Iurie Caraus, Zhilin Li
    2021-07-01
    42860 4089 Pages:737-750
  • Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

    Fen Chen, Bin Zheng, Ji Lin, Wen Chen
    2020-10-20
    50918 4445 Pages:163-175
  • An Improved Formulation of Singular Boundary Method

    Wen Chen, Yan Gu
    2012-04-01
    41611 4143 Pages:543-558
  • Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

    Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti
    2021-06-08
    45281 3196 Pages:1227-1260
  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems

    Linlin Sun, Wen Chen, Alexander H.-D. Cheng
    2021-07-01
    43107 3872 Pages:1289-1311
  • Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method

    Bin Chen, Wen Chen, Xing Wei
    2018-05-05
    42136 2954 Pages:810-826
  • Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen
    2018-05-05
    41319 3055 Pages:648-669
  • The LMAPS Using Polynomial Basis Functions for Near-Singular Problems

    Zhengzhi Li, Daniel Watson, Ming Li, Thir Dangal
    2018-09-17
    45166 3158 Pages:1090-1102
  • Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

    Houde Han, Yin-Tzer Shih, Chih-Ching Tsai
    2014-06-01
    51267 4314 Pages:376-402
  • Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations

    Kun Jiang, Qiumei Huang, Xiuxiu Xu
    2020-03-06
    48412 5046 Pages:189-211
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    44010 3248 Pages:807-837
  • Multiscale Basis Functions for Singular Perturbation on Adaptively Graded Meshes

    Mei-Ling Sun, Shan Jiang
    2014-06-01
    42445 4117 Pages:604-614
  • Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

    Wenzhen Qu, Wen Chen
    2018-03-29
    43151 4858 Pages:13-30
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    41600 3719 Pages:1506-1524
  • A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures

    Qiang Sun
    2023-04-11
    38147 3187 Pages:831-851
  • Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses

    Wei Yi, Qiuhua Rao, Wei Zhu, Qingqing Shen, Zhuo Li, Wenbo Ma
    2021-11-18
    50261 4416 Pages:125-154
1 - 27 of 44 items
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