Search Results

• 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

• 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

• 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

• Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

  Zhenrong Chen, Yanping Chen, Yunqing Huang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0334

  288866 4061 pp. 1333-1356

• 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

• Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

  Qiumei Huang, Min Wang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0341

  25547 2602 pp. 927-951

• 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

• A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

  Weishan Zheng, Yanping Chen

  2013-05-01

  DOI:10.4208/aamm.12-m1209

  41859 4308 pp. 131-145

• Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

  Yan Gu, Chia-Ming Fan, Zhuojia Fu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0134

  50393 4128 pp. 1520-1534

• A Stochastic Collocation Method for Delay Differential Equations with Random Input

  Tao Zhou

  2014-06-01

  DOI:10.4208/aamm.2012.m38

  53884 4758 pp. 403-418 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

  DOI:10.4208/aamm.OA-2023-0137

  8089 561 pp. 1430-1455

• 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

• 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

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0038

  44321 4961 pp. 242-260

• 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

• Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method

  Xing-Liang Lyu, Wei-Dong Su

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0303

  27476 2456 pp. 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

  DOI:10.4208/aamm.OA-2018-0045

  46708 4547 pp. 197-215

• 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

• 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

  DOI:10.4208/aamm.OA-2023-0061

  14758 1288 pp. 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

  DOI:10.4208/aamm.OA-2018-0234

  56165 3340 pp. 386-406

• 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

  DOI:10.4208/aamm.OA-2023-0050

  15908 1433 pp. 1474-1501

• 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

• 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

  DOI:10.4208/aamm.OA-2021-0144

  41202 3418 pp. 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

  DOI:10.4208/aamm.OA-2020-0297

  119097 6101 pp. 1318-1354

• Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

  Xiulian Shi, Yanping Chen

  2018-05-05

  DOI:10.4208/aamm.2015.m1088

  41542 3121 pp. 648-669