Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN

Paul Valsecchi Oliva,Yue Wu,Cuiyu He,Hao Ni

Journal of Computational Physics（2022）

引用 2|浏览3

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摘要

•A novel, data-efficient and spatio-temporal model solving parabolic PDEs.•Analysis of the universality of the proposed model.•A hybrid method for solving high-dimensional parabolic PDEs on general domains.•Training efficiency with 50× speed-up for solving diffusion-reaction equations.

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关键词

Parabolic partial differential equation,Generative adversarial network,Neural ordinary differential equation,Weak adversarial network

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