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Advances in Applied Mathematics and Mechanics
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  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    8350 497 Pages:1133-1170
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    292660 4130 Pages:1302-1332
  • Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

    Zhiyong Liu, Qiuyan Xu
    2025-10-14
    4196 251 Pages:296-321
  • 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
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

    Kai Zhang, Jie Li
    2012-04-01
    41071 3999 Pages:575-602
  • Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

    Zhizhang Wu, Zhongyi Huang
    2020-03-06
    49303 4736 Pages:30-56
  • Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

    Huajun Zhu, Songhe Song, Yaming Chen
    2021-07-01
    41152 4191 Pages:663-688
  • Numerical Comparison of the LOOCV-MFS and the MS-CTM for 2D Equations

    Fang Hao, Hui Lv, Xiaoyan Liu
    2018-09-17
    45378 5121 Pages:41-61
  • 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
  • The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

    Li Wang
    2012-04-01
    40893 4166 Pages:603-616
  • 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
  • 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
  • Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

    Yanhua Cao, Song Luo
    2025-09-29
    5028 246 Pages:1789-1812
  • 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
  • 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
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages:1111-1132
  • Using Gaussian Eigenfunctions to Solve Boundary Value Problems

    Michael McCourt
    2021-01-13
    42983 4285 Pages:569-594
  • 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
  • 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
  • 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
  • Galerkin Formulations of the Method of Fundamental Solutions

    J. R. Berger, Andreas Karageorghis
    2021-01-13
    42586 4137 Pages:423-441
  • 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
  • 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
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