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• A Spectral Time-Domain Method for Computational Electrodynamics

  James V. Lambers

  2021-07-01

  40875 4193 Pages:781-798

• Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

  Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti

  2021-06-08

  45561 3281 Pages:1227-1260

• Modified One-Leg $\theta$-Methods for Linear Neutral Pantograph Equations with Multiple Delay Terms

  Zhixiang Jin, Tingting Qin, Chengjian Zhang

  2026-04-01

  5068 194 Pages:519-536

• Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

  Yunxia Wei, Yanping Chen

  2012-04-01

  42937 4762 Pages:1-20

• The Random Feature Method for Elliptic Eigenvalue Problems

  Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo

  2025-05-12

  8791 598 Pages:1133-1170

• 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

  48743 3651 Pages:480-502

• A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

  Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao

  2020-03-06

  48600 5142 Pages:87-100

• 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

  38434 3261 Pages:786-813

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  5402 465 Pages:134-169

• 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

  50152 3297 Pages:598-607

• Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

  Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang

  2023-06-21

  38279 3206 Pages:1233-1255

• 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

  44255 3216 Pages:1169-1202

• The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

  Long Yuan, Qiya Hu

  2018-09-17

  44455 3204 Pages:1126-1157

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  41815 4261 Pages:769-780

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  17680 1284 Pages:69-103

• 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

  47432 4153 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

  44104 3163 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

  15529 1470 Pages:1549-1568

• Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

  Jiaqi Zhang, Yin Yang, Zhaojie Zhou

  2023-10-11

  30946 2794 Pages:1631-1654

• 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

  292936 4221 Pages:1302-1332

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  41078 4223 Pages:451-480

• Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

  Yanhua Cao, Song Luo

  2025-09-29

  7300 357 Pages:1789-1812

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  40997 4171 Pages:451-480

• The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

  Jianwei Zhou

  2018-03-30

  41463 3232 Pages:145-157

• Heat Convection Between Two Confocal Elliptic Tubes Placed at Different Orientations

  F. M. Mahfouz, H. M. Badr

  2018-08-10

  39987 4026 Pages:639-663

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  973 67 Pages:1602-1615

• Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

  Xiong Liu, Yanping Chen

  2021-07-01

  41836 3781 Pages:1506-1524