A Priori Error Analysis for Solving High Dimensional Elliptic PDEs Based on Neural Networks

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• Jianfeng Lu (Duke University)
• Thursday 18 November 2021, 16:00-16:30
• Seminar Room 1, Newton Institute.

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MDLW03 - Deep learning and partial differential equations

Numerical solution to high dimensional PDEs has been one of the central challenges in scientific computing due to curse of dimension. In recent years, we have seen tremendous progress in applying neural networks to solve high dimensional PDEs, while the analysis for such methods is still lacking. In this talk, we will discuss some of these numerical methods for high dimensional PDEs, challenges and also some initial attempts in numerical analysis for high dimensional elliptic PDEs and eigenvalue problems (based on joint works with Ziang Chen, Yulong Lu, and Min Wang)

This talk is part of the Isaac Newton Institute Seminar Series series.

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