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Solving Diffusion Problems by a Random Feature Method

Published in East Asian Journal on Applied Mathematics • Nov 27, 2024
NobleIDNI2P99W86R50S11
Authors:
Zhan‐Dong Mei
,
Hui Xie
,
Heng Yong

Abstract

Solving diffusion problems requires numerical methods able to capture the heterogeneity over complex geometries and are robust in terms of positivity preserving, nonlinearity, and radiation diffusion. Current deep learning methods, although mesh-free, encounter difficulties in achieving convergence ...

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