Sparse Deep Neural Network for Nonlinear Partial Differential Equations

DOI10.4208/nmtma.OA-2022-0104WikidataQ117217784 ScholiaQ117217784MaRDI QIDQ5885722

Yuesheng Xu, Taishan Zeng

Publication date: 4 April 2023

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13266

zbMATH Keywords

nonlinear partial differential equationssparse approximationsparse regularizationdeep learningadaptive approximation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Artificial neural networks and deep learning (68T07) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Algorithms for approximation of functions (65D15) Linear operators and ill-posed problems, regularization (47A52)

Related Items

PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations

Uses Software

• Chebfun
• ImageNet
• Adam

Cites Work

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