A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks

28 April 2023

Papers citing "A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks"

8 / 8 papers shown

Title
Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks Ziqiang Liu Xiaoda Wang Bohan Wang Zijie Huang Carl Yang Wei-dong Jin AI4TS AI4CE 146 1 0 29 Mar 2025
Physics-Based Dynamic Models Hybridisation Using Physics-Informed Neural Networks Branislava Lalić D. V. Cuong Mina Petrić Vladimir Pavlovic Ana Firanj Sremac M. Roantree PINN 79 0 0 10 Dec 2024
Multi evolutional deep neural networks (Multi-EDNN) Hadden Kim T. Zaki 47 1 0 17 Jul 2024
Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations Huan Zhang Yifan Chen Eric Vanden-Eijnden Benjamin Peherstorfer 39 2 0 01 Apr 2024
Space and Time Continuous Physics Simulation From Partial Observations Steeven Janny Madiha Nadri Wolf Julie Digne Christian Wolf AI4CE 41 5 0 17 Jan 2024
Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep Networks Jules Berman Benjamin Peherstorfer 26 13 0 07 Oct 2023
CoLA: Exploiting Compositional Structure for Automatic and Efficient Numerical Linear Algebra Andres Potapczynski Marc Finzi Geoff Pleiss Andrew Gordon Wilson 20 7 0 06 Sep 2023
Coupling parameter and particle dynamics for adaptive sampling in Neural Galerkin schemes Yuxiao Wen Eric Vanden-Eijnden Benjamin Peherstorfer 24 12 0 27 Jun 2023