Search Results

• On Spectral Methods for Volterra Integral Equations and the Convergence Analysis

  Tao Tang, Xiang Xu, Jin Cheng

  2021-07-01

  32908 3746 pp. 825-837

• Spectral Approximation Orders of Multidimensional Nonstationary Biorthogonal Semi-Multiresolution Analysis in Sobolev Space

  Wensheng Chen, Xu Chen, Wei Lin

  2018-08-15

  33064 3916 pp. 81-90

• Variable Step-Size BDF3 Method for Allen-Cahn Equation

  Minghua Chen, Fan Yu, Qingdong Zhang, Zhimin Zhang

  2024-07-18

  DOI:10.4208/jcm.2304-m2022-0140

  24534 1775 pp. 1380-1406

• A Hybrid Explicit-Implicit Scheme for the Time-Dependent Wigner Equation

  Haiyan Jiang, Tiao Lu, Xu Yin

  2021-06-10

  DOI:10.4208/jcm.1906-m2018-0081

  42346 4397 pp. 22-42

• Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

  Jiyong Li

  2024-11-19

  DOI:10.4208/jcm.2310-m2022-0141

  14147 1157 pp. 280-314

• Weak Error Estimates for Trajectories of SPDEs Under Spectral Galerkin Discretization

  Charles-Edouard Bréhier, Martin Hairer, Andrew M. Stuart

  2019-02-12

  DOI:10.4208/jcm.1607-m2016-0539

  44347 4194 pp. 159-182 Open Access

• Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

  Ishtiaq Ali

  2018-08-22

  DOI:10.4208/jcm.1006-m3150

  33617 3836 pp. 49-60

• Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations

  Yanping Chen, Zhenrong Chen, Yanping Zhou, Fangfang Qin

  2026-04-15

  DOI:10.4208/jcm.2502-m2024-0208

  3257 160 pp. 521-538

• Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

  Yanping Chen, Zhenrong Chen, Yunqing Huang

  2024-01-16

  DOI:10.4208/jcm.2209-m2022-0129

  25832 2234 pp. 355-371

• Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

  Tianjun Wang, Benyu Guo, Wei Li

  2021-07-01

  DOI:10.4208/jcm.1206-m3891

  36267 3904 pp. 579-600

• On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations

  FH Huang, CJ Xu

  2005-06-02

  33162 3408 pp. 285-304

• Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

  Meng Cai, Siqing Gan, Xiaojie Wang

  2024-04-08

  DOI:10.4208/jcm.2203-m2021-0194

  19261 1929 pp. 735-754

• Spectral Solutions of a Fractional-Order Mathematical Model for Lung Cancer, Sensitivity Analysis, and Feedback Control

  Khadijeh Sadri, David Amilo, Evren Hincal

  2025-06-06

  DOI:10.4208/jcm.2504-m2024-0211

  640 43 pp. 747–778

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0092

  2567 254 pp. 286-306

• Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of Any Dimension

  Suna Ma, Huiyuan Li, Zhimin Zhang, Hu Chen, Lizhen Chen

  2024-04-09

  DOI:10.4208/jcm.2304-m2022-0243

  26309 2024 pp. 1032-1062

• A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions

  Yanping Chen, Xianjuan Li, Tao Tang

  2018-08-22

  DOI:10.4208/jcm.1208-m3497

  37725 3959 pp. 47-56

• Convergence Analysis for Spectral Approximation to a Scalar Transport Equation with a Random Wave Speed

  Tao Zhou, Tao Tang

  2021-07-01

  DOI:10.4208/jcm.1206-m4012

  36185 3798 pp. 643-656

• A Spectral Method for Pantograph-Type Delay Differential Equations and Its Convergence Analysis

  Ishtiaq Ali, Hermann Brunner, Tao Tang

  2018-08-07

  33289 3557 pp. 254-265

• Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices

  Ji-Ming Wu, Long-Jun Shen

  2002-10-02

  32933 3581 pp. 551-560

• Analysis of Two Any Order Spectral Volume Methods for 1-D Linear Hyperbolic Equations with Degenerate Variable Coefficients

  Minqiang Xu, Yanting Yuan, Waixiang Cao, Qingsong Zou

  2024-11-13

  DOI:10.4208/jcm.2305-m2021-0330

  11860 1264 pp. 1627-1655

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  DOI:10.4208/jcm.1902-m2017-0280

  39591 3074 pp. 580-605

• Modified Legendre Rational Spectral Method for the Whole Line

  Zhongqing Wang, Benyu Guo

  2004-06-02

  32945 3406 pp. 457-474

• Stability Analysis and Application of the Exponential Time Differencing Schemes

  Qiang Du, Wenxiang Zhu

  2004-04-02

  DOI:10.4208/jcm.2004-m200-209

  33495 4402 pp. 200-209

• Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  DOI:10.4208/jcm.2504-m2024-0201

  591 44 pp. 843–870

• Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems

  Suqin Chen, Yingwei Wang, Xionghua Wu

  2018-08-22

  DOI:10.4208/jcm.1103-m3434

  34592 3808 pp. 458-473

• Shock and Boundary Structure Formation by Spectral-Lagrangian Methods for the Inhomogeneous Boltzmann Transport Equation

  Irene M. Gamba, Sri Harsha Tharkabhushanam

  2018-08-22

  DOI:10.4208/jcm.1003-m0011

  34893 3485 pp. 430-460

• Serendipity Virtual Element Method for the Second Order Elliptic Eigenvalue Problem in Two and Three Dimensions

  Haokun Li, Yulin Liu, Jian Meng, Xu Qian

  2026-01-20

  DOI:10.4208/jcm.2508-m2024-0265

  160 178