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Advances in Applied Mathematics and Mechanics
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  • Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs

    Jichun Li, Zhiwei Fang
    2021-07-01
    48912 4138 Pages:1305-1326
  • 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
  • On Convergence of a Least-Squares Kansa's Method for the Modified Helmholtz Equations

    Ting-On Kwok, Leevan Ling
    2018-08-10
    41171 4088 Pages:367-382
  • Solving Delay Differential Equations Through RBF Collocation

    Francisco Bernal, Gail Gutierrez
    2018-08-10
    40939 3956 Pages:257-272
  • A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2025-11-22
    169 2
  • Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and Laplace Transformation

    Zhuo-Jia Fu, Wen Chen, Qing-Hua Qin
    2012-04-01
    41652 4255 Pages:519-542
  • 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
  • Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations

    Xueying Zhang, Xin An, C. S. Chen
    2018-05-05
    41256 3091 Pages:430-440
  • Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations

    Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang
    2018-03-29
    42606 4797 Pages:74-88
  • A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

    Zhuojia Fu, Wen Chen
    2018-08-10
    41379 3926 Pages:341-352
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    47168 4083 Pages:1440-1458
  • Oversampled Collocation Approximation Method of Functions via Jacobi Frames

    Xianru Chen, Li Lin
    2024-02-29
    27770 2757 Pages:569-588
  • On the Selection of a Good Shape Parameter of the Localized Method of Approximated Particular Solutions

    Hui Zheng, Guangming Yao, Lei-Hsin Kuo, Xinxiang Li
    2018-09-17
    49279 3589 Pages:896-911
  • Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

    Weishan Zheng, Yanping Chen, Yunqing Huang
    2019-01-11
    43871 3106 Pages:486-500
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

    Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song
    2025-07-19
    7446 466 Pages:1430-1455
  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    8350 497 Pages:1133-1170
  • 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
  • Galerkin Formulations of the Method of Fundamental Solutions

    J. R. Berger, Andreas Karageorghis
    2021-01-13
    42586 4137 Pages:423-441
  • Using Gaussian Eigenfunctions to Solve Boundary Value Problems

    Michael McCourt
    2021-01-13
    42983 4285 Pages:569-594
  • A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

    Weishan Zheng, Yanping Chen
    2013-05-01
    41644 4167 Pages:131-145
  • Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel

    Cem Berk Senel, Jeroen van Beeck, Atakan Altinkaynak
    2022-06-13
    43767 3531 Pages:1161-1180
  • A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

    Jen-Yi Chang, Ru-Yun Chen, Chia-Cheng Tsai
    2022-02-25
    48964 3320 Pages:577-595
  • Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

    Shuainan Liu, Zhuojia Fu, Yan Gu
    2022-02-25
    47675 3308 Pages:759-776
  • 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
  • Meshless Collocation Method for Inverse Source Identification Problems

    Fuzhang Wang, Zhaoxing Ma
    2018-05-05
    41425 3086 Pages:496-509
  • Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

    Xu Qian, Hao Fu, Songhe Song
    2018-05-05
    42129 3030 Pages:964-989
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