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Advances in Applied Mathematics and Mechanics
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  • 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
  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    38118 3194 Pages:786-813
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    17311 1077 Pages:69-103
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    288583 3985 Pages:1333-1356
  • 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
  • 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
  • On the Comparison Between Lattice Boltzmann Methods and Spectral Methods for DNS of Incompressible Turbulent Channel Flows on Small Domain Size

    Liren Li, Yipeng Shi, Shengqi Zhang, Lian-Ping Wang, Zhenhua Xia
    2019-04-16
    49862 3243 Pages:598-607
  • Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

    Yan Gu, Chia-Ming Fan, Zhuojia Fu
    2021-11-17
    49979 4042 Pages:1520-1534
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • 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
  • 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
  • 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
  • A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

    Yurun Wang, Huiling Su, Fei Liu
    2024-11-01
    15220 1379 Pages:1549-1568
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • 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 Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method

    Xing-Liang Lyu, Wei-Dong Su
    2024-01-04
    27125 2378 Pages:331-354
  • A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    46429 4416 Pages:197-215
  • A Spectral Time-Domain Method for Computational Electrodynamics

    James V. Lambers
    2021-07-01
    40617 4083 Pages:781-798
  • An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

    Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei
    2024-12-02
    14316 1048 Pages:123-147
  • 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
  • The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

    Long Yuan, Shuai Xi, Binlin Zhang
    2021-06-08
    43990 3161 Pages:1169-1202
  • A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis

    Wei Qu, Yuanyuan Huang, Siu-Long Lei
    2024-11-01
    15609 1357 Pages:1474-1501
  • A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

    Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang
    2022-01-24
    40953 3326 Pages:469-493
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • 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
  • Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation

    Juan Zhang, Shifeng Li, Kai Jiang
    2024-12-31
    13158 1143 Pages:454-488
1 - 27 of 36 items
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