Concepedia

An adaptive method of fundamental solutions using physics-informed neural networks

Fajie Wang, Xin Li, Hanqing Liu, Lin Qiu, Xingxing Yue

Engineering Analysis with Boundary Elements · 2025 · 20 citations · 45 references

DOI

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References

45

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

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Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next

Salvatore Cuomo, Vincenzo Schiano Di Cola, Fabio Giampaolo et al. · Journal of Scientific Computing · 2022 · 2.3K citations · Full text

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Automatic differentiation in machine learning: a survey

Atılım Güneş Baydin, Barak A. Pearlmutter, Alexey Radul et al. · Maynooth University ePrints and eTheses Archive (Maynooth University) · 2015 · 2.1K citations · Full text

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The method of fundamental solutions for elliptic boundary value problems

Graeme Fairweather, Andréas Karageorghis · Advances in Computational Mathematics · 1998 · 958 citations

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Smoothed particle hydrodynamics and magnetohydrodynamics

Daniel J. Price · Journal of Computational Physics · 2010 · 717 citations · Full text

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