Search Results

• A Few Benchmark Test Cases for Higher-Order Euler Solvers

  Liang Pan, Jiequan Li, Kun Xu

  2017-11-02

  DOI:10.4208/nmtma.2017.0018

  41457 4371 pp. 711-736 Open Access

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0050

  40775 9016503 pp. 511-540

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  DOI:10.4208/nmtma.OA-2023-0165

  12316 1285 pp. 855-881

• A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

  Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0080

  38616 3453 pp. 182-203

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang, Tiegang Liu

  2018-09-18

  DOI:10.4208/nmtma.OA-2018-0043

  44687 4985 pp. 312-330

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0175

  44329 2993 pp. 595-619

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  DOI:10.4208/nmtma.OA-2017-0144

  48829 2747 pp. 1168-1190

• Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

  Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0148

  44567 3625 pp. 200-226

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0090

  42345 2923 pp. 299-320

• Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

  Armando Coco, Giovanni Russo

  2012-05-01

  DOI:10.4208/nmtma.2011.m12si02

  41542 4554 pp. 19-42 Open Access

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0086

  7029 748 pp. 226-258

• A Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

  Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0003

  12393 1400 pp. 882-903

• Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

  Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0095

  26345 2162 pp. 331-350

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji, Zhizhong Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.m1605

  38897 2708 pp. 597-613

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0165

  55831 3409 pp. 279-303

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0039

  48462 4318 pp. 71-112

• A Second-Order Method for the Electromagnetic Scattering from a Large Cavity

  Yingxi Wang, Kui Du, Weiwei Sun

  2008-01-01

  39716 3952 pp. 357-382

• Accuracy Enhancement of Discontinuous Galerkin Method for Hyperbolic Systems

  Tie Zhang, Jingna Liu

  2014-07-01

  DOI:10.4208/nmtma.2014.1216nm

  39140 3535 pp. 214-233

• A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

  Yan Gui, Rui Du, Cheng Wang

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0036

  11982 1304 pp. 1041-1073

• Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

  Fei Liu, Xingde Ye, Xinghua Wang

  2011-04-01

  DOI:10.4208/nmtma.2011.42s.5

  40309 3838 pp. 197-215

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part II: Higher-Order Schemes

  M. Esmaeilzadeh, R.M. Barron

  2022-07-19

  DOI:10.4208/nmtma.OA-2021-0129

  38627 2839 pp. 819-850

• High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

  Hassan Fahs

  2009-02-01

  DOI:10.4208/nmtma.2009.m8018

  40907 3633 pp. 275-300

• A Numerical Method for Solving Matrix Coefficient Heat Equations with Interfaces

  Liqun Wang, Liwei Shi

  2015-08-01

  DOI:10.4208/nmtma.2015.m1331

  39293 2807 pp. 475-495

• A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

  Meiling Zhao, Wenjie He, Gendai Gu

  2021-06-02

  DOI:10.4208/nmtma.2020-0163

  46376 2667 pp. 811-838

• One-Step Multi-Derivative Methods for Backward Stochastic Differential Equations

  Chengjian Zhang, Jingwen Wu, Weidong Zhao

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0122

  47175 2598 pp. 1213-1230

• Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

  Jie Ding, Cheng Wang, Shenggao Zhou

  2018-12-17

  DOI:10.4208/nmtma.OA-2018-0058

  42344 2896 pp. 607-626

• Development and Comparison of Numerical Fluxes for LWDG Methods

  Jianxian Qiu

  2008-01-01

  38468 3682 pp. 435-459