Search Results

• An Improved Model Reduction Method on AIMs for N-S Equations Using Multilevel Finite Element Method and Hierarchical Basis

  M. Nauman Aslam, Jiazhong Zhang, Nannan Dang, Riaz Ahmad

  2018-09-18

  DOI:10.4208/nmtma.OA-2017-0106

  42453 4592 pp. 115-133

• 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

  624 267 pp. 1-19

• The Implication of Local Thin Plate Splines for Solving Nonlinear Mixed Integro-Differential Equations Based on the Galerkin Scheme

  Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0077

  47223 2763 pp. 1066-1092

• A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equations

  Pouria Assari, Mehdi Dehghan

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0100

  41509 2787 pp. 540-568

• An $h$-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

  Hongqiang Zhu, Jianxian Qiu

  2013-06-01

  DOI:10.4208/nmtma.2013.1235nm

  40145 3989 pp. 617-636

• A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

  Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0093

  47880 2896 pp. 738-772

• 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

  41275 4192 pp. 41-57

• Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

  Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0015

  44081 2932 pp. 665-688

• The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem

  Jing Zhang, Hongxing Rui

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0143

  28599 2427 pp. 792-819

• 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

  7227 764 pp. 175-198

• 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 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

  45163 3977 pp. 68-90

• Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

  Shanghui Jia, Changhui Yao, Shuai Su

  2018-09-17

  DOI:10.4208/nmtma.2018.m1607

  43114 4920 pp. 30-48

• A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

  Rongpei Zhang, Xijun Yu, Xia Cui, Xiaohan Long, Tao Feng

  2013-06-01

  DOI:10.4208/nmtma.2013.y11038

  40150 3842 pp. 325-342

• L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

  Changpin Li, Zhen Wang

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0010s

  38039 3035 pp. 1099-1127

• Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media

  Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar

  2023-04-10

  DOI:10.4208/nmtma.OA-2021-0080

  38300 2867 pp. 323-347

• 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 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

• Stability and Optimal Error Estimates Analysis of an LDG Method for the Stochastic Nonlinear KdV Equation

  Xuewei Liu, Zhenyu Wang, Xiaohua Ding, Shao-Liang Zhang

  2025-12-23

  DOI:10.4208/nmtma.OA-2025-0080

  520 198 pp. 192-218

• 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

  39547 2739 pp. 829-851

• A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases

  Ruiwen Shu, Jingwei Hu, Shi Jin

  2020-11-03

  DOI:10.4208/nmtma.2017.s12

  39105 2642 pp. 465-488

• 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

  41984 4126 pp. 13-37

• Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

  Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0122

  41835 2774 pp. 604-617

• A Hybridized Weak Galerkin Finite Element Method for Incompressible Stokes Equations

  Qianru Zhang, Haopeng Kuang, Xiuli Wang, Qilong Zhai

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0021

  47210 2839 pp. 1012-1038

• A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems

  Ruishu Wang, Xiaoshen Wang, Ran Zhang

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0096

  41338 2787 pp. 518-539

• The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

  Long Yuan

  2018-12-17

  DOI:10.4208/nmtma.OA-2017-0139

  41597 2795 pp. 517-546

• Fully Discrete Galerkin Finite Element Method for the Cubic Nonlinear Schrödinger Equation

  Jianyun Wang, Yunqing Huang

  2017-10-01

  DOI:10.4208/nmtma.2017.y16008

  38398 2673 pp. 671-688