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most citedGlobal Convergence of Deep Galerkin and PINNs Methods for Solving Partial Differential Equations

2 citations · 5 across the 10 of their papers we have counts for

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math.NA2023★ 2 cited

Global Convergence of Deep Galerkin and PINNs Methods for Solving Partial Differential Equations

Deqing Jiang, Justin Sirignano, Samuel N. Cohen

Numerically solving high-dimensional partial differential equations (PDEs) is a major challenge. Conventional methods, such as finite difference methods, are unable to solve high-d…

math.NA2022★ 2 cited

Neural Q-learning for solving PDEs

Samuel N. Cohen, Deqing Jiang, Justin Sirignano

Solving high-dimensional partial differential equations (PDEs) is a major challenge in scientific computing. We develop a new numerical method for solving elliptic-type PDEs by ada…