Search Results

• Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

  Yang Zhang, Xuhong Yu, Zhongqing Wang

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0082

  44910 2606 pp. 461-487

• A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

  Liyao Lyu, Zhiwen Zhang, Jingrun Chen

  2020-12-02

  DOI:10.4208/nmtma.OA-2020-0032

  52925 3012 pp. 908-927

• The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations

  Lian Chen, Zhongqiang Zhang, Heping Ma

  2012-05-01

  DOI:10.4208/nmtma.2012.m1110

  39880 3541 pp. 493-508

• 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

• Stability and Convergence of the Integral-Averaged Interpolation Operator Based on $Q_1$-Element in $\mathbb{R}^n$

  Yaru Liu, Yinnian He, Xinlong Feng

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0122

  21012 1770 pp. 494-513

• Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations

  Yafei Xu, Weidong Zhao

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0134

  21384 1810 pp. 463-493

• Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

  Jiacheng Li, Min Yang, Chuanjun Chen

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0133

  27437 2309 pp. 310-330

• 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

• 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

• Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

  Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0062

  59948 3101 pp. 839-861

• A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

  Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0072

  47671 3788 pp. 219-241

• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0154

  43014 2696 pp. 539-568

• Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

  Liping Zhou, Shi Shu, Haiyuan Yu

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0019

  46060 2709 pp. 1119-1140

• 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

• 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

• 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

  39328 2603 pp. 373-419

• A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

  Zhong-qing Wang, Jun Mu

  2016-09-01

  DOI:10.4208/nmtma.2016.m1429

  39791 2828 pp. 619-639

• 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

• A Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

  Dongyang Kuang, Long Lee

  2015-08-01

  DOI:10.4208/nmtma.2015.m1408

  38881 2736 pp. 634-650

• Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

  Lijun Yi, Zhongqing Wang

  2014-07-01

  DOI:10.4208/nmtma.2014.1309nm

  39984 4009 pp. 149-178

• Wavelets and Optical Flow Motion Estimation

  P. Derian, P. Heas, C. Herzet, E. Memin

  2013-06-01

  DOI:10.4208/nmtma.2013.mssvm07

  41541 3975 pp. 116-137

• 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

• Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics

  Huazhong Tang, Kun Xu, Chunpei Cai

  2010-03-01

  DOI:10.4208/nmtma.2010.m9007

  42237 4109 pp. 387-404

• 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

  41228 3846 pp. 258-274

• A Paradoxical Consistency Between Dynamic and Conventional Derivatives on Hybrid Grids

  Qin Sheng

  2008-01-01

  38087 3397 pp. 198-213