Search Results

• A Spectral Time-Domain Method for Computational Electrodynamics

  James V. Lambers

  2021-07-01

  DOI:10.4208/aamm.09-m09S02

  40877 4195 pp. 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

  DOI:10.4208/aamm.OA-2020-0163

  45563 3286 pp. 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

  DOI:10.4208/aamm.OA-2025-0002

  5069 196 pp. 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

  DOI:10.4208/aamm.10-m1055

  42939 4769 pp. 1-20

• The Random Feature Method for Elliptic Eigenvalue Problems

  Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0312

  8799 601 pp. 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

  DOI:10.4208/aamm.OA-2019-0056

  48743 3652 pp. 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

  DOI:10.4208/aamm.OA-2019-0137

  48600 5146 pp. 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

  DOI:10.4208/aamm.OA-2021-0219

  38435 3264 pp. 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

  DOI:10.4208/aamm.OA-2023-0317

  5411 474 pp. 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

  DOI:10.4208/aamm.2018.s04

  50154 3299 pp. 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

  DOI:10.4208/aamm.OA-2022-0188

  38282 3211 pp. 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

  DOI:10.4208/aamm.OA-2020-0350

  44257 3217 pp. 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

  DOI:10.4208/aamm.OA-2017-0272

  44457 3205 pp. 1126-1157

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  DOI:10.4208/aamm.09-m09S10

  41818 4266 pp. 769-780

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  DOI:10.4208/aamm.OA-2024-0161

  17683 1291 pp. 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

  DOI:10.4208/aamm.OA-2018-0038

  47437 4158 pp. 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

  DOI:10.4208/aamm.OA-2018-0121

  44106 3165 pp. 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

  DOI:10.4208/aamm.OA-2023-0225

  15533 1471 pp. 1549-1568

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

  Jiaqi Zhang, Yin Yang, Zhaojie Zhou

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0173

  30948 2797 pp. 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

  DOI:10.4208/aamm.OA-2021-0189

  292936 4222 pp. 1302-1332

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

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  41080 4226 pp. 451-480

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

  Yanhua Cao, Song Luo

  2025-09-29

  DOI:10.4208/aamm.OA-2023-0217

  7306 361 pp. 1789-1812

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

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  40999 4179 pp. 451-480

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

  Jianwei Zhou

  2018-03-30

  DOI:10.4208/aamm.2013.m193

  41463 3233 pp. 145-157

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

  F. M. Mahfouz, H. M. Badr

  2018-08-10

  DOI:10.4208/aamm.09-m0930

  39989 4031 pp. 639-663

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

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0179

  998 71 pp. 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

  DOI:10.4208/aamm.OA-2016-0049

  41838 3782 pp. 1506-1524