Search Results

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0046

  44214 2851 pp. 845-866

• Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

  Qing Yang

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0002

  41263 2889 pp. 272-298

• 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

• 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

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

  Relja Vulanović

  2008-01-01

  38169 3588 pp. 235-244

• Approximate Method for Computing Hypersingular Integrals with Oscillatory Kernels

  Yuxin Zhang, Jin Li, Mengyao Yu

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0115

  5124 443 pp. 771-793

• Solving Generalized Tensor Eigenvalue Problem via Spectral Shifted Inverse Power Methods

  Mehri Pakmanesh, Hamidreza Afshin, Masoud Hajarian

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0139

  5200 471 pp. 680-702

• A Divergence-Free $P_k$ CDG Finite Element for the Stokes Equations on Triangular and Tetrahedral Meshes

  Xiu Ye, Shangyou Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0063

  7097 776 pp. 157-174

• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0136

  21191 1750 pp. 534-554

• Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

  Xu Qian, Hong Zhang, Jingye Yan, Songhe Song

  2023-11-07

  DOI:10.4208/nmtma.OA-2022-0185

  28186 2399 pp. 993-1012

• 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 Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

  Ruo Li, Fanyi Yang

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0042

  46407 2607 pp. 1042-1067

• 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

  51335 2956 pp. 1050-1067

• A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

  Bin Wang, Xinyuan Wu, Yonglei Fang

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0115

  44289 2736 pp. 814-844

• A Dynamical Method for Solving the Obstacle Problem

  Qinghua Ran, Xiaoliang Cheng, Stéphane Abide

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0109

  45782 2863 pp. 353-371

• A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

  Xiaoxiao He, Fei Song, Weibing Deng

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0053

  44630 4291 pp. 99-130

• 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

• The Cubic Spline Rule for the Hadamard Finite-Part Integral on an Interval

  Gendai Gu, Sheng An, Meiling Zhao

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0060

  43470 2830 pp. 906-922

• An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

  Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li

  2018-12-17

  DOI:10.4208/nmtma.OA-2018-0016

  42819 2916 pp. 594-606

• 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 Boosting Procedure for Variational-Based Image Restoration

  Samad Wali, Zhifang Liu, Chunlin Wu, Huibin Chang

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0046

  43485 4481 pp. 49-73

• 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

• Nonconforming Finite Element Methods for Wave Propagation in Metamaterials

  Changhui Yao, Lixiu Wang

  2018-08-14

  DOI:10.4208/nmtma.2017.m1426

  39386 4038 pp. 145-166

• A Multistep Scheme for Decoupled Forward-Backward Stochastic Differential Equations

  Weidong Zhao, Wei Zhang, Lili Ju

  2016-09-01

  DOI:10.4208/nmtma.2016.m1421

  39446 2800 pp. 262-288

• Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

  Xingyang Ye, Chuanju Xu

  2013-06-01

  DOI:10.4208/nmtma.2013.1207nm

  40027 3944 pp. 499-519

• A-Posteriori Error Estimation for the Legendre Spectral Galerkin Method in One-Dimension

  Lijun Yi, Benqi Guo

  2018-08-14

  DOI:10.4208/nmtma.2009.m9002

  39886 3935 pp. 40-52

• Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

  Yan Gong, Zhilin Li

  2018-08-14

  DOI:10.4208/nmtma.2009.m9001

  40659 3956 pp. 23-39