Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks

24 January 2022

Papers citing "Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks"

7 / 7 papers shown

Title
Error Analysis and Numerical Algorithm for PDE Approximation with Hidden-Layer Concatenated Physics Informed Neural Networks Yianxia Qian Yongchao Zhang Suchuan Dong PINN 21 0 0 10 Jun 2024
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 35 0 0 27 Sep 2023
An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions Yiran Wang Suchuan Dong 20 35 0 13 Sep 2023
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time Y. Qian Yongchao Zhang Yuanfei Huang S. Dong PINN 11 1 0 22 Mar 2023
A Method for Computing Inverse Parametric PDE Problems with Random-Weight Neural Networks S. Dong Yiran Wang 22 19 0 09 Oct 2022
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine Naxian Ni S. Dong 14 20 0 24 Apr 2022
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications E. Samaniego C. Anitescu S. Goswami Vien Minh Nguyen-Thanh Hongwei Guo Khader M. Hamdia Timon Rabczuk X. Zhuang PINN AI4CE 145 1,333 0 27 Aug 2019