Search Results

• On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

  Hui Liang

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0141

  45106 3716 pp. 91-124

• Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0088

  28646 2936 pp. 1-36

• 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

  45367 2606 pp. 1266-1308

• Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

  Xiu Ye, Shangyou Zhang

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0120

  48178 2904 pp. 613-623

• Runge-Kutta Discontinuous Local Evolution Galerkin Methods for the Shallow Water Equations on the Cubed-Sphere Grid

  Yangyu Kuang, Kailiang Wu, Huazhong Tang

  2020-11-03

  DOI:10.4208/nmtma.2017.s09

  39330 2603 pp. 373-419

• Robust Globally Divergence-Free Weak Galerkin Methods for Stationary Incompressible Convective Brinkman-Forchheimer Equations

  Xiaojuan Wang, Xiaoping Xie

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0007

  12004 1354 pp. 956-995

• Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows

  Stefano Giani, Paul Houston

  2014-07-01

  DOI:10.4208/nmtma.2014.1311nm

  39448 3647 pp. 123-148

• Spectral Petrov-Galerkin Methods for the Second Kind Volterra Type Integro-Differential Equations

  Xia Tao, Ziqing Xie, Xiaojun Zhou

  2011-04-01

  DOI:10.4208/nmtma.2011.42s.6

  40439 3770 pp. 216-236

• A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

  Kang Li, Zhijun Tan

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0200

  51336 2956 pp. 1050-1067

• Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods

  Qiya Hu

  2008-01-01

  39542 3705 pp. 383-409

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji, Huazhong Tang

  2012-05-01

  DOI:10.4208/nmtma.2012.m1107

  41802 3686 pp. 333-358

• The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

  Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0076

  7230 765 pp. 175-198

• Newton Linearized Methods for Semilinear Parabolic Equations

  Boya Zhou, Dongfang Li

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0139

  49318 3096 pp. 928-945

• 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

  41329 4322 pp. 134-153

• A Two-Step Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media

  Qiya Hu, Lin Zhao

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0054

  41092 2795 pp. 453-476

• Finite Element and Discontinuous Galerkin Methods with Perfect Matched Layers for American Options

  Haiming Song, Kai Zhang, Yutian Li

  2017-11-02

  DOI:10.4208/nmtma.2017.0020

  39548 2740 pp. 829-851

• Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems

  C. Carstensen, R. H. W. Hoppe, N. Sharma, T. Warburton

  2011-04-01

  DOI:10.4208/nmtma.2011.m1007

  41985 4126 pp. 13-37

• Development and Comparison of Numerical Fluxes for LWDG Methods

  Jianxian Qiu

  2008-01-01

  38468 3682 pp. 435-459

• Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

  Limei Li, Da Xu

  2014-07-01

  DOI:10.4208/nmtma.2014.y11051

  41276 4193 pp. 41-57

• An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains

  Qirong Fang, Jie Shen, Li-Lian Wang

  2009-02-01

  DOI:10.4208/nmtma.2009.m8014

  41229 3846 pp. 258-274

• A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  DOI:10.4208/nmtma.OA-2020-0165

  45164 3977 pp. 68-90

• Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

  Jihong Xiao, Zimo Zhu, Xiaoping Xie

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0024

  33624 3241 pp. 79-110

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0007s

  37257 3001 pp. 1009-1040

• Multigrid Methods with Newton-Gauss-Seidel Smoothing and Constraint Preserving Interpolation for Obstacle Problems

  Chunxiao Wu, Justin W. L. Wan

  2020-11-10

  DOI:10.4208/nmtma.2015.w08si

  39923 2753 pp. 199-219

• A Highly Efficient USOR-Like Iterative Method for the Stationary Wigner Equation with Scattering

  Yidan Wang, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2025-09-30

  DOI:10.4208/nmtma.OA-2025-0019

  628 273 pp. 1-19

• Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients

  Eveline Rosseel, Nico Scheerlinck, Stefan Vandewalle

  2012-05-01

  DOI:10.4208/nmtma.2011.m12si04

  40928 4599 pp. 62-84 Open Access

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0035

  47238 4622 pp. 42-67