Search Results

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0038

  46119 4466 pp. 253-280

• Numerical Method for Singularly Perturbed Third Order Ordinary Differential Equations of Convection-Diffusion Type

  J. Christy Roja, A. Tamilselvan

  2014-07-01

  DOI:10.4208/nmtma.2014.y12030

  40396 3854 pp. 265-287

• 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

• 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

• An Improved Hybrid Adjoint Method in External Aerodynamics Using Variational Technique for the Boundary Integral Based Optimal Objective Function Gradient

  Asma Farooqi, Riaz Ahmad, Zhenping Feng

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0087

  44062 2830 pp. 689-718

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0108

  21593 1691 pp. 429-462

• A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method

  Ronald D. Haynes, Weizhang Huang, Paul A. Zegeling

  2013-06-01

  DOI:10.4208/nmtma.2013.1130nm

  39386 3651 pp. 364-383

• Spectral Deferred Correction Methods for Fractional Differential Equations

  Chunwan Lv, Mejdi Azaiez, Chuanju Xu

  2021-01-13

  DOI:10.4208/nmtma.2018.s03

  44958 2898 pp. 729-751

• 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

• Manifold Triangular Mesh Editing Based on Finite Differences and Fourier Series

  Qunzhi Jin, Yuanfeng Jin

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0022

  11762 1337 pp. 933-955

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

  M. Esmaeilzadeh, R.M. Barron, R. Balachandar

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0143

  53489 3136 pp. 881-907

• A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

  R. Nageshwar Rao, P. Pramod Chakravarthy

  2014-07-01

  DOI:10.4208/nmtma.2014.1316nm

  41700 4537 pp. 23-40

• The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

  Youngmok Jeon, Son-Young Yi

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0154

  44757 2855 pp. 336-359

• High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

  Hao Wu

  2011-04-01

  DOI:10.4208/nmtma.2011.m1036

  41490 3517 pp. 576-597

• Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

  Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0049

  35009 3309 pp. 140-164

• An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

  Wescley T. B. de Sousa, Carlos F. T. Matt

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0026

  44555 2796 pp. 681-708

• A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations

  Chien-Hong Cho

  2010-03-01

  DOI:10.4208/nmtma.2010.m88051

  42179 4087 pp. 475-498

• An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

  Haixia Dong, Wenjun Ying, Jiwei Zhang

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0159

  36408 2655 pp. 541-564

• A High Order Operator Splitting Method for the Degasperis–Procesi Equation

  Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang, Songhe Song

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0048

  43416 2737 pp. 884-905

• Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

  Xu Guo, Leevan Ling

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0131

  51270 2886 pp. 437-452

• Development and Comparison of Numerical Fluxes for LWDG Methods

  Jianxian Qiu

  2008-01-01

  38468 3682 pp. 435-459

• Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

  Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0123

  29034 2652 pp. 634-667

• Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

  Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun

  2022-07-19

  DOI:10.4208/nmtma.OA-2022-0032

  42252 3276 pp. 565-591

• A New Convergent Explicit Tree-Grid Method for HJB Equations in One Space Dimension

  Igor Kossaczký, Matthias Ehrhardt, Michael Günther

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0066

  52254 4816 pp. 1-29

• 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

• Effect of Flux Evaluation Methods on the Resolution and Robustness of the Two-Step Finite-Difference WENO Scheme

  T. Kamiya, M. Asahara, T. Nonomura

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0033

  46978 2878 pp. 1068-1097

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li, Tongjun Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.y15013

  39285 2711 pp. 541-561