Search Results

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0050

  40775 9016503 pp. 511-540

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang, Tiegang Liu

  2018-09-18

  DOI:10.4208/nmtma.OA-2018-0043

  44687 4985 pp. 312-330

• 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

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  DOI:10.4208/nmtma.OA-2023-0165

  12316 1285 pp. 855-881

• Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

  Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0095

  26345 2162 pp. 331-350

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0062

  46504 2785 pp. 377-404

• A High Order Operator Splitting Method for the Degasperis–Procesi Equation

  Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang, Songhe Song

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0048

  43416 2737 pp. 884-905

• Laguerre Spectral Method for High Order Problems

  Chao Zhang, Ben-Yu Guo, Tao Sun

  2013-06-01

  DOI:10.4208/nmtma.2013.y11039

  38951 3793 pp. 520-537

• 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

• 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

• A Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

  Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0003

  12393 1400 pp. 882-903

• Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

  Jitenjaya Pradhan, Yogesh G. Bhumkar

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0095

  42787 2730 pp. 942-968

• Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations

  Cunyun Nie, Shi Shu, Haiyuan Yu, Juan Wu

  2013-06-01

  DOI:10.4208/nmtma.2013.1127nm

  38694 3545 pp. 408-423

• Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

  Changna Lu, Gang Li

  2011-04-01

  DOI:10.4208/nmtma.2011.m1027

  41802 3564 pp. 505-524

• Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

  Fei Liu, Xingde Ye, Xinghua Wang

  2011-04-01

  DOI:10.4208/nmtma.2011.42s.5

  40309 3838 pp. 197-215

• Development and Comparison of Numerical Fluxes for LWDG Methods

  Jianxian Qiu

  2008-01-01

  38468 3682 pp. 435-459

• A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

  Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2025-10-22

  DOI:10.4208/nmtma.OA-2024-0140

  5700 386 pp. 881-902

• 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

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0039

  48462 4318 pp. 71-112

• 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 High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

  Meiling Zhao, Wenjie He, Gendai Gu

  2021-06-02

  DOI:10.4208/nmtma.2020-0163

  46376 2667 pp. 811-838

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0175

  44329 2993 pp. 595-619

• One-Step Multi-Derivative Methods for Backward Stochastic Differential Equations

  Chengjian Zhang, Jingwen Wu, Weidong Zhao

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0122

  47175 2598 pp. 1213-1230

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  DOI:10.4208/nmtma.OA-2017-0144

  48829 2747 pp. 1168-1190

• A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

  Bhupen Deka

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0078

  40405 2775 pp. 655-672

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji, Zhizhong Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.m1605

  38897 2708 pp. 597-613

• Solving the Helmholtz Equation by Sparse Fundamental Solution Neural Network

  Zhiwen Wang, Minxin Chen, Jingrun Chen

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0033

  5949 511 pp. 845-880