Search Results

• Sixth-Order Compact Differencing with Staggered Boundary Schemes and 3(2) Bogacki-Shampine Pairs for Pricing Free-Boundary Options

  Chinonso Nwankwo, Weizhong Dai

  2024-10-09

  DOI:10.4208/ijnam2024-1032

  14109 1160 pp. 793-821

• 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

• 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

• 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

• High Order Galerkin Methods with Graded Meshes for Two-Dimensional Reaction-Diffusion Problems

  Zhiwen Li, Bin Wu, Yuesheng Xu

  2016-05-03

  32008 2637 pp. 319-343

• 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

• 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 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

• 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

• Pollution-Free Finite Difference Schemes for Non-Homogeneous Helmholtz Equation

  K. Wang, Y. S. Wong

  2014-11-01

  33882 2752 pp. 787-815

• On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes

  Mindaugas Radziunas, Raimondas Ciegis, Aleksas Mirinavicius

  2021-10-20

  34214 2690 pp. 303-314

• 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

• 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

• 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

• 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

• 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 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 Energy Stable Numerical Schemes for a Nonlinear Variational Wave Equation Modeling Nematic Liquid Crystals in Two Dimensions

  Peder Aursand, Ujjwal Koley

  2016-01-08

  33368 4549 pp. 20-47

• 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

• Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

  Guosheng Fu

  2023-01-14

  DOI:10.4208/ijnam2023-1011

  28416 2678 pp. 267-312

• 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

• 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

• Effects of Basis Selection and H-Refinement on Error Estimator Reliability and Solution Efficiency for High-Order Methods in Three Space Dimensions

  Peter K. Moore

  2006-03-01

  31531 3926 pp. 21-51

• New Shock Detector and Improved Control Function for Shock-Boundary Layer Interaction

  Chaoqun Liu, Huankun Fu, Ping Lu

  2012-09-01

  32835 2531 pp. 276-288

• 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

• Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations

  Mengjie Liu, Mingyan He, Pengtao Sun

  2025-02-20

  DOI:10.4208/ijnam2025-1011

  8696 628 pp. 226-245

• 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