Search Results

• Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

  S. Karimi & K. B. Nakshatrala

  2018-04-04

  39688 3199 Pages:374-404

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  15876 1169 Pages:1262-1306

• Higher Order Accurate Bounds Preserving Time-Implicit Discretizations for the Chemically Reactive Euler Equations

  Fengna Yan, J. J. W. Van der Vegt, Yinhua Xia, Yan Xu

  2025-09-05

  3586 346 Pages:1017-1052

• A Modeling Framework for Coupling Plasticity with Species Diffusion

  M. S. Joshaghani, K. B. Nakshatrala

  2022-07-06

  43771 3649 Pages:83-125

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

  Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

  2024-10-29

  21671 1212 Pages:943-976

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  31843 2797 Pages:1133-1176

• A CFD-Aided Galerkin Method for Global Linear Instability Analysis

  Shengqi Zhang, Zhenhua Xia, Shiyi Chen

  2020-11-26

  45960 4614 Pages:128-147

• A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

  Qi Sun, Qiang Du

  2020-07-30

  46613 3720 Pages:753-774