Search Results

• A Multigrid-Based Fourth Order Finite Difference Method for Elliptic Interface Problems with Variable Coefficients

  Yiming Ren, Shan Zhao

  2025-08-04

  DOI:10.4208/ijnam2025-1038

  6370 562 pp. 860-896

• Positivity-Preserving High-Order Schemes for Conservation Laws on Arbitrarily Distributed Point Clouds with a Simple WENO Limiter

  Jie Du, Chi-Wang Shu

  2018-08-14

  43624 4153 pp. 1-25

• 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

• The Time High-Order Energy-Preserving Schemes for the Nonlocal Benjamin-Ono Equation

  Chunguang Chen, Dong Liang, Shusen Xie

  2020-08-04

  32232 2697 pp. 543-556

• The Multiscale Discontinuous Galerkin Method for Solving a Class of Second Order Elliptic Problems with Rough Coefficients

  W. Wang, J. Guzmán, C.-W. Shu

  2018-08-15

  33274 3908 pp. 28-47

• A Buffered Fourier Spectral Method for Non-periodic PDE

  Huankun Fu, Chaoqun Liu

  2012-09-01

  32198 2441 pp. 460-478

• A High Order Unfitted Finite Element Method for Time-Harmonic Maxwell Interface Problems

  Zhiming Chen, Ke Li, Maohui Lyu, Xueshaung Xiang

  2024-10-09

  DOI:10.4208/ijnam2024-1033

  14053 1208 pp. 822-849

• A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

  Xiu Ye, Shangyou Zhang

  2023-11-13

  DOI:10.4208/ijnam2023-1037

  22138 2031 pp. 855-869

• A Fractional-Order Alternative for Phase-Lagging Equation

  Cui-Cui Ji, Weizhong Dai, Ronald E. Mickens

  2023-03-30

  DOI:10.4208/ijnam2023-1016

  29484 2501 pp. 391-406

• An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

  Mahboub Baccouch

  2022-09-27

  37236 2685 pp. 864-886

• An Almost Fourth Order Parameter-Robust Numerical Method for a Linear System of ($M\geq2$) Coupled Singularly Perturbed Reaction-Diffusion Problems

  S. C. S. Rao, M. Kumar

  2013-10-01

  231 96 pp. 603-621

• An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem

  Minting Zhao, Jiawei Gao, Md. Abdullah AL Mahbub, Dan Chen

  2024-10-09

  DOI:10.4208/ijnam2024-1034

  14003 1176 pp. 850-878

• Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics

  Christian Daveau, Abil Aubkirov, Paul Soudais

  2022-06-22

  37132 2708 pp. 458-486

• A Scalar Auxiliary Variable (SAV) and Operator Splitting Compact Finite Difference Method for Peritectic Phase Field Model

  Jiajie Fei, Shusen Xie , Chunguang Chen

  2022-03-22

  30403 3243 pp. 85-100

• The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment

  Kai Fu, Dong Liang, Wenqia Wang, Ming Cui

  2015-12-01

  34362 2681 pp. 211-229

• A High-Order Mixed Finite Element Method for Second Order Elliptic Equations on Curved Domain with Boundary Value Corrections

  Yongli Hou, Yi Liu, Tengjin Zhao

  2026-03-11

  DOI:10.4208/ijnam2026-1019

  266 74 pp. 442–459

• High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

  Champike Attanayake, So-Hsiang Chou, Quanling Deng

  2023-11-13

  DOI:10.4208/ijnam2023-1038

  22554 2029 pp. 870-895

• A New High Order Two Level Implicit Discretization for the Solution of 3D Nonlinear Parabolic Equations

  R. K. Mohanty & S. Singh

  2008-05-01

  31994 3858 pp. 40-54

• A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain

  Andy L Yang

  2023-09-19

  DOI:10.4208/ijnam2023-1032

  24901 2189 pp. 724-738

• Symplectic Schemes for Stochastic Hamiltonian Systems Preserving Hamiltonian Functions

  C. A. Anton, Y. S. Wong, J. Deng

  2014-11-01

  33215 2716 pp. 427-451

• Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

  Maninder Sarai, Dong Liang

  2021-02-04

  33217 3442 pp. 79-99

• Stabilized Invariant Energy Quadratization (S-IEQ) Method for the Molecular Beam Epitaxial Model Without Slope Section

  Hui Zhang, Xiaofeng Yang, Jun Zhang

  2021-08-09

  43021 2711 pp. 642-655

• Subgrid Model for the Stationary Incompressible Navier-Stokes Equations Based on the High Order Polynomial Interpolation

  Y. Zhang, M. Feng, Y. He

  2010-07-01

  31440 2606 pp. 734-748

• Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

  Tiao Lu, Wei Cai, Pingwen Zhang

  2005-04-03

  32373 3755 pp. 75-84

• Stability of High Order Finite Difference Schemes with Implicit-Explicit Time-Marching for Convection-Diffusion and Convection-Dispersion Equations

  Meiqi Tan, Juan Cheng, Chi-Wang Shu

  2021-03-25

  39153 2667 pp. 362-383

• A High Order Parallel Method for Time Discretization of Parabolic Type Equations Based on Laplace Transformation and Quadrature

  Vidar Thomée

  2005-04-03

  33123 4009 pp. 85-96

• A Third Order Linearized BDF Scheme for Maxwell's Equations with Nonlinear Conductivity Using Finite Element Method

  Changhui Yao, Yanping Lin, Cheng Wang, Yanli Kou

  2018-09-18

  32570 2631 pp. 511-531