Search Results

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0090

  42345 2923 pp. 299-320

• 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

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0074

  45062 3801 pp. 1-41

• Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

  Xing Fu, J. Nathan Kutz

  2017-11-02

  DOI:10.4208/nmtma.2017.m1624

  39414 2690 pp. 872-894

• 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

• Multidimensional Iterative Filtering Method for the Decomposition of High-Dimensional Non-Stationary Signals

  Antonio Cicone, Haomin Zhou

  2020-11-03

  DOI:10.4208/nmtma.2017.s05

  39172 2676 pp. 278-298

• 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 Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations

  Liyong Zhu, Guangwei Yuan, Qiang Du

  2009-02-01

  DOI:10.4208/nmtma.2009.m8016

  41309 3391 pp. 301-325

• Density Estimation via Mixture Discrepancy and Moments

  Zhengyang Lei, Lirong Qu, Sihong Shao, Yunfeng Xiong

  2026-01-20

  DOI:10.4208/nmtma.OA-2025-0038

  426 173 pp. 240-274

• Multi-Dimensional Image Recovery via Self-Supervised Nonlinear Transform Based a Three-Directional Tensor Nuclear Norm

  Gen Li, Zhihui Tu, Jian Lu, Chao Wang, Lixin Shen

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0158

  18016 1436 pp. 727-750

• An Extended Courant Element on a Polytope with Application in Approximating an Obstacle Problem

  Mingqing Chen, Jianguo Huang

  2024-08-30

  DOI:10.4208/nmtma.OA-2024-0001

  22056 1494 pp. 607-629

• A Stabilized Low Order Finite Element Method for Three Dimensional Elasticity Problems

  Gwanghyun Jo, Do Y. Kwak

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0034

  44649 2961 pp. 281-295

• A Few Benchmark Test Cases for Higher-Order Euler Solvers

  Liang Pan, Jiequan Li, Kun Xu

  2017-11-02

  DOI:10.4208/nmtma.2017.0018

  41457 4371 pp. 711-736 Open Access

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li, Tongjun Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.y15013

  39285 2711 pp. 541-561

• 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

• Simultaneous Approximation of Sobolev Classes by Piecewise Cubic Hermite Interpolation

  Guiqiao Xu, Zheng Zhang

  2014-07-01

  DOI:10.4208/nmtma.2014.1232nm

  40367 3804 pp. 317-333

• Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling

  Huai Zhang, Lili Ju, Max Gunzburger, Todd Ringler, Stephen Price

  2011-04-01

  DOI:10.4208/nmtma.2011.m1031

  40109 3588 pp. 396-418

• 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

• Splitting Schemes for Second-Order Backward Stochastic Differential Equations

  Bo Li, Weidong Zhao, Luying Zheng

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0023

  5576 351 pp. 1003-1026

• On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  DOI:10.4208/nmtma.OA-2024-0100

  7646 578 pp. 487-520

• 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

• Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

  Min Li, Dongfang Li, Ju Ming, A. S. Hendy

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0095

  7147 786 pp. 1-30

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0044

  11931 1439 pp. 1100-1127

• A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations

  Xiaoqiang Yue, Sheng Xia, Chunyan Chen, Xiaowen Xu, Shi Shu

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0098

  22389 1424 pp. 630-657

• MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs via Monte Carlo Sampling

  Xiaodong Feng, Yue Qian, Wanfang Shen

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0201

  28455 2484 pp. 769-791

• Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

  Jing Sun, Weihua Deng, Daxin Nie

  2022-07-19

  DOI:10.4208/nmtma.OA-2021-0173

  39805 3028 pp. 744-767

• 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