Jun 5, 2023 · Abstract:In this study, we address the challenge of obtaining a Green's function operator for linear partial differential equations (PDEs).
Mar 25, 2024 · In this study, we introduce the Deep Generalized Green's Function (DGGF), a deep-learning approach addressing the challenges associated with NGF ...
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The Green's function has ubiquitous and unparalleled usage in the efficient problem-solving of partial differential equations (PDEs) and analyzing systems.
Nov 3, 2021 · The fundamental solution, or Green's function, is a leading method for solving linear BVPs that enables facile computation of new solutions to ...
Jun 5, 2023 · In this study, we address the challenge of obtaining a Green's function operator for linear partial differential equations (PDEs).
Mar 22, 2022 · Our deep learning method for learning Green's functions and extracting human-understandable properties of partial differential equations ...
This work proposes a flexible deep learning approach to solve nonlinear BVPs using a dual-autoencoder architecture that merges the strengths of the ...
GreenLearning is a deep learning library based on Tensorflow for learning Green's functions associated with partial differential operators.
5 Generalized Green's Functions. We saw last time that if L has an eigenfunction with an eigenvalue of zero then L[u] = f(x) does not have a Green's function.
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