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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…
math.NA2020★ 1 cited
A frequency-dependent -adaptive technique for spectral methods
Mingtao Xia, Sihong Shao, Tom Chou
When using spectral methods, a question arises as how to determine the expansion order, especially for time-dependent problems in which emerging oscillations may require adjusting…
math.NA2020★ 6 cited
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains
Mingtao Xia, Sihong Shao, Tom Chou
When using Laguerre and Hermite spectral methods to numerically solve PDEs in unbounded domains, the number of collocation points assigned inside the region of interest is often in…