Leveraging Multitime Hamilton–Jacobi PDEs for Certain Scientific Machine Learning Problems-Reference-Cited by-同舟云学术

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Leveraging Multitime Hamilton–Jacobi PDEs for Certain Scientific Machine Learning Problems

Published:2024-03-15 Issue:2 Volume:46 Page:C216-C248
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Chen Paula¹,Meng Tingwei²^ORCID,Zou Zongren¹,Darbon Jérôme³^ORCID,Karniadakis George Em⁴^ORCID

Affiliation:

1. Division of Applied Mathematics, Brown University, Providence, RI 02912 USA.

2. Department of Mathematics, UCLA, Los Angeles, CA 90025 USA.

3. Corresponding author. Division of Applied Mathematics, Brown University, Providence, RI 02912 USA.

4. Division of Applied Mathematics, Brown University, Providence, RI 02912 USA, and Pacific Northwest National Laboratory, Richland, WA 99354 USA.

Funder

Multidisciplinary University Research Initiative

Office of the Under Secretary of Defense (Office of the Under Secretary of Defense

Air Force Office of Scientific Research

U.S. Department of Energy

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference43 articles.

1. On Hopf's formulas for solutions of Hamilton-Jacobi equations

2. Discovering governing equations from data by sparse identification of nonlinear dynamical systems

3. Numerical Methods for Ordinary Differential Equations

4. A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

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