Search Results

• A Buffered Fourier Spectral Method for Non-periodic PDE

  Huankun Fu, Chaoqun Liu

  2012-09-01

  32198 2441 pp. 460-478

• A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

  Dandan Wang, Yong Zhang, Hanquan Wang

  2023-05-22

  DOI:10.4208/ijnam2023-1025

  29093 2427 pp. 577-595

• A Nodal Sparse Grid Spectral Element Method for Multi-Dimensional Elliptic Partial Differential Equations

  Zhijian Rong, Jie Shen, Haijun Yu

  2018-09-18

  32115 2630 pp. 762-783

• Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions

  Yujian Jiao, Benyu Guo

  2012-09-01

  32226 2548 pp. 982-998

• Improved Error Estimates of a Finite Difference/Spectral Method for Time-Fractional Diffusion Equations

  Chunwan Lv & Chuanju Xu

  2015-12-01

  35437 2724 pp. 384-400

• Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

  Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park

  2024-10-08

  DOI:10.4208/ijnam2024-1026

  13073 1094 pp. 652-673

• Comparison of a Spectral Collocation Method and Symplectic Methods for Hamiltonian Systems

  Nairat Kanyamee, Zhimin Zhang

  2018-08-15

  33097 3831 pp. 86-104

• A Fractional Stokes Equation and Its Spectral Approximation

  Shimin Lin, Mejdi Azaïez, Chuanju Xu

  2018-08-14

  33443 4059 pp. 170-192

• A Spectral Method for Mixed Boundary Value Problems on Hexahedrons

  Ben-Yu Guo, Tian-Jun Wang

  2015-12-01

  33365 2661 pp. 664-683

• Uniform $L^p$-Bound of the Allen-Cahn Equation and Its Numerical Discretization

  Jiang Yang, Qiang Du, Wei Zhang

  2018-08-14

  33564 3859 pp. 213-227 Open Access

• Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems

  Jingxia Wu, Zhongqing Wang

  2013-10-01

  32884 2722 pp. 657-672

• Chebyshev Spectral Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid over a Cylinder with Variable Transport Properties

  J. Niu, L. Zheng, Y. Yang, C.-W. Shu

  2014-11-01

  32609 2658 pp. 525-540

• Spectral Element Methods on Hybrid Triangular and Quadrilateral Meshes

  Jingliang Li, Heping Ma, Li-Lian Wang, Hua Wu

  2018-08-14

  33574 3971 pp. 111-133

• Provably Convergent Plug-and-Play Proximal Block Coordinate Descent Method for Hyperspectral Anomaly Detection

  Xiaoxia Liu, Shijie Yu

  2025-10-21

  DOI:10.4208/ijnam2026-1003

  5623 392 pp. 63-82

• An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

  ​Irene Sykopetritou, Christos Xenophontos

  2021-05-25

  40241 2716 pp. 481-499

• Symmetric High Order Gautschi-Type Exponential Wave Integrators Pseudospectral Method for the Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

  Yan Wang, Xiaofei Zhao

  2018-08-15

  32216 2592 pp. 405-427

• An Effective Algorithm for Computing Fractional Derivatives and Application to Fractional Differential Equations

  Minling Zhang, Fawang Liu, Vo Anh

  2021-05-25

  40958 2704 pp. 458-480

• A Spectral Method on Tetrahedra Using Rational Basis Functions

  H. Li, L.-L. Wang

  2010-07-01

  31345 2669 pp. 330-355

• Spectral Approximation of Time-Harmonic Maxwell Equations in Three-Dimensional Exterior Domains

  Lina Ma, Jia Shen, Li-Lian Wang

  2015-12-01

  34390 2699 pp. 366-383

• Analysis of Any-Order Runge-Kutta Spectral Volume Schemes for 1D Hyperbolic Equations

  Ping Wei, Qingsong Zou

  2025-12-28

  DOI:10.4208/ijnam2026-1009

  1113 147 pp. 184-222

• Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method

  Cecilia Magherini

  2021-02-04

  33071 3242 pp. 62-78

• The Arakawa Jacobian Method and a Fourth-Order Essentially Nonoscillatory Scheme for the Beta-Plane Barotropic Equations

  Abderrahim Kacimi, Tarik Aliziane, Boualem Khouider

  2013-10-01

  34081 2708 pp. 571-587

• Preconditioning Techniques in Chebyshev Collocation Method for Elliptic Equations

  Zhi-Wei Fang, Jie Shen, Hai-Wei Sun

  2018-08-14

  32610 3715 pp. 277-287

• A Posteriori Error Estimator for Spectral Approximations of Completely Continuous Operators

  Yidu Yang, Qiumei Huang

  2006-08-01

  30329 2582 pp. 361-370

• A Study on Phase-Field Models for Brittle Fracture

  Fei Zhang, Weizhang Huang, Xianping Li, Shicheng Zhang

  2022-09-27

  37857 2951 pp. 793-821

• Nano-Rod Suspension Flows: A 2D Smoluchowski-Navier-Stokes Solver

  M. Gregory Forest, Ruhai Zhou, Qi Wang

  2021-11-09

  30472 2397 pp. 478-488

• Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods

  Philipp Öffner, Jan Glaubitz, Hendrik Ranocha

  2020-05-20

  34934 2718 pp. 332-349