Articles

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

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  855-881

  https://doi.org/10.4208/nmtma.OA-2023-0165

  • Preview
  • Requires Subscription Full PDF

  12077 1221

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

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

  882-903

  https://doi.org/10.4208/nmtma.OA-2024-0003%20

  • Preview
  • Requires Subscription Full PDF

  12147 1297

• A Class of Efficient Multistep Methods for Forward Backward Stochastic Differential Equations

  Xiao Tang, Jie Xiong

  904-932

  https://doi.org/10.4208/nmtma.OA-2024-0010%20

  • Preview
  • Requires Subscription Full PDF

  11769 1051

• Manifold Triangular Mesh Editing Based on Finite Differences and Fourier Series

  Qunzhi Jin, Yuanfeng Jin

  933-955

  https://doi.org/10.4208/nmtma.OA-2024-0022%20

  • Preview
  • Requires Subscription Full PDF

  11534 1259

• Robust Globally Divergence-Free Weak Galerkin Methods for Stationary Incompressible Convective Brinkman-Forchheimer Equations

  Xiaojuan Wang, Xiaoping Xie

  956-995

  https://doi.org/10.4208/nmtma.OA-2024-0007

  • Preview
  • Requires Subscription Full PDF

  11768 1280

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  996-1017

  https://doi.org/10.4208/nmtma.OA-2024-0026

  • Preview
  • Requires Subscription Full PDF

  11838 1307

• New Log Basis Functions with a Scaling Factor and Their Applications

  Dong-Qin Gu, Dongya Tao, Chao Zhang

  1018-1040

  https://doi.org/10.4208/nmtma.OA-2024-0038

  • Preview
  • Requires Subscription Full PDF

  11937 1277

• A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

  Yan Gui, Rui Du, Cheng Wang

  1041-1073

  https://doi.org/10.4208/nmtma.OA-2024-0036%20

  • Preview
  • Requires Subscription Full PDF

  11728 1210

• A Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

  Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing

  1074-1099

  https://doi.org/10.4208/nmtma.OA-2024-0042%20

  • Preview
  • Requires Subscription Full PDF

  11506 1140

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

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

  1100-1127

  https://doi.org/10.4208/nmtma.OA-2024-0044

  • Preview
  • Requires Subscription Full PDF

  11672 1310

• Author Index to Volume 17

  1128-1129

  • Preview
  • Requires Subscription Full PDF

  17587 1207