An extreme learning machine-based method for computational PDEs in higher dimensions

Author:

Wang Yiran,Dong Suchuan

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference98 articles.

1. Solving high-dimensional partial differential equations using deep learning;Han;Proc. Natl. Acad. Sci. USA,2018

2. A machine learning framework for solving high-dimensional mean field game mean field control problems;Ruthotto;Proc. Natl. Acad. Sci. USA,2020

3. Dynamic Programming;Bellman,2010

4. Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere;Darbon;Res. Math. Comput. Sci.,2016

5. On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations;Hutzenthaler;J. Sci. Comput.,2019

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