Structure-preserving learning for multi-symplectic PDEs

Abstract This paper presents an energy-preserving machine learning method for inferring reduced-order models (ROMs) by exploiting the multi-symplectic form of partial differential equations (PDEs). The vast majority of energy-preserving reduced-order methods use symplectic Galerkin projection to con...

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Bibliographic Details
Main Authors: Süleyman Yıldız, Pawan Goyal, Peter Benner
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Advanced Modeling and Simulation in Engineering Sciences
Subjects:
Online Access:https://doi.org/10.1186/s40323-025-00287-5
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