21 citations · 23 across the 8 of their papers we have counts for
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math.NA2022
The sparse representation related with fractional heat equations
Pengtao Li, Tao Qian, Ieng Tak Leong +1
This study introduces pre-orthogonal adaptive Fourier decomposition (POAFD) to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and t…
math.ST2022
AFD Types Sparse Representations vs. the Karhunen-Loeve Expansion for Decomposing Stochastic Processes
Tao Qian, Ying Zhang, Wanquan Liu +1
This article introduces adaptive Fourier decomposition (AFD) type methods, emphasizing on those that can be applied to stochastic processes and random fields, mainly including stoc…
math.NA2022★ 2 cited
Sparse Representations of Solutions to a class of Random Boundary Value Problems
Fang Yang, Min Chen, Jiecheng Chen +2
We introduce certain sparse representation methods, named as stochastic pre-orthogonal adaptive Fourier decomposition 1 and 2 (SPOAFD1 and SPOAFD2) to solve the Dirichlet boundary…