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math.NA2022
Adaptive Hermite Spectral Methods in Unbounded Domains
Tom Chou, Sihong Shao, Mingtao Xia
Recently, new adaptive techniques were developed that greatly improved the efficiency of solving PDEs using spectral methods. These adaptive spectral techniques are especially suit…
cs.LG2022★ 15 cited
Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems
Mingtao Xia, Lucas Böttcher, Tom Chou
Solving analytically intractable partial differential equations (PDEs) that involve at least one variable defined on an unbounded domain arises in numerous physical applications. A…