Multi-scale time-stepping of partial differential equations with transformers

DOI10.1016/j.cma.2024.116983zbMath1539.65113MaRDI QIDQ6550140

Amir Barati Farimani, AmirPouya Hemmasian

Publication date: 4 June 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

partial differential equationsmachine learningtransformersnumerical time-stepping

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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