Search Results

• 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 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

• 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

• 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

• Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems

  Tianliang Hou, Chunmei Liu, Hongbo Chen

  2018-09-18

  DOI:10.4208/nmtma.2019.m1623

  41328 4321 pp. 134-153

• A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0129

  48564 2912 pp. 355-376

• 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

• Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Unsteady Natural Convection Problems

  Yihui Han, Hongliang Li, Xiaoping Xie

  2019-10-12

  DOI:10.4208/nmtma.OA-2019-0069

  45365 2606 pp. 1266-1308

• Analysis of Hexagonal Grid Finite Difference Methods for Anisotropic Laplacian Related Equations

  Daniel Lee

  2017-10-01

  DOI:10.4208/nmtma.2017.m1527

  39694 2924 pp. 562-596

• 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

• Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations

  Tongke Wang

  2010-03-01

  DOI:10.4208/nmtma.2010.m99027

  41886 4217 pp. 499-522

• Analytic and Experimental Studies of the Errors in Numerical Methods for the Valuation of Options

  P. Lin, J. J. H. Miller & G. I. Shishkin

  2008-01-01

  38673 3669 pp. 150-164

• Numerical Approaches for Linear Left-Invariant Diffusions on $SE(2)$, Their Comparison to Exact Solutions, and Their Applications in Retinal Imaging

  Jiong Zhang, Remco Duits, Gonzalo Sanguinetti, Bart M. ter Haar Romeny

  2016-09-01

  DOI:10.4208/nmtma.2015.m1411

  38867 4328 pp. 1-50

• Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

  Reza Mokhtari, Mohadese Ramezani, Gundolf Haase

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0020

  48654 2786 pp. 945-971

• 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

• New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations

  Kejia Pan, Kang Fu, Jin Li, Hongling Hu, Zhilin Li

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0073

  38334 2963 pp. 393-409

• Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

  Changna Lu, Gang Li

  2011-04-01

  DOI:10.4208/nmtma.2011.m1027

  41802 3564 pp. 505-524

• Numerical Methods for System Parabolic Variational Inequalities from Regime-Switching American Option Pricing

  Jie Xing, Jingtang Ma

  2018-12-17

  DOI:10.4208/nmtma.OA-2018-0025

  41699 2825 pp. 566-593

• Penalized Schemes for Hamilton-Jacobi-Bellman Quasi-Variational Inequalities Arising in Regime Switching Utility Maximization with Optimal Stopping

  Jingtang Ma, Jianjun Ma, Haofei Wu

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0094

  21404 1774 pp. 404-428

• 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

• FDMs for the PDEs of Option Pricing Under DEV Models with Counterparty Risk

  Jingtang Ma, Yong Chen, Taoshun He, Zhijun Tan

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0126

  44376 2634 pp. 1246-1265

• Semi-Group Stability of Finite Difference Schemes in Corner Domains

  Antoine Benoit

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0072

  40021 2723 pp. 618-654

• The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel

  Jie Tang, Da Xu

  2013-06-01

  DOI:10.4208/nmtma.2013.1111nm

  40264 3848 pp. 556-570

• Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

  Yubo Zhang, Tao Tang

  2011-04-01

  DOI:10.4208/nmtma.2011.m9017

  39604 4150 pp. 92-112

• Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

  Zhengqin Yu, Xiaoping Xie

  2015-08-01

  DOI:10.4208/nmtma.2015.m1324

  38419 2671 pp. 582-604

• Development and Comparison of Numerical Fluxes for LWDG Methods

  Jianxian Qiu

  2008-01-01

  38468 3682 pp. 435-459

• Finite-Difference Methods for a Class of Strongly Nonlinear Singular Perturbation Problems

  Relja Vulanović

  2008-01-01

  38169 3588 pp. 235-244