35 citations · 172 across the 30 of their papers we have counts for
4 papers · 1 filter
Calculation of SPH and VSH Expansions
Bo Wang, Li-Lian Wang, Ziqing Xie
We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) no…
Uniform bounds and asymptotics of Generalized Gegenbauer functions of fractional degree
Wenjie Liu, Li-Lian Wang
The generalised Gegenbauer functions of fractional degree (GGF-Fs), denoted by (right GGF-Fs) and (left GGF-Fs) with $λ>-…
Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces
Wenjie Liu, Li-Lian Wang, Huiyuan Li
In this paper, we introduce a new theoretical framework built upon fractional Sobolev-type spaces involving Riemann-Liouville (RL) fractional integrals/derivatives, which is natura…
Laguerre Functions and Their Applications to Tempered Fractional Differential Equaitons on Infinite Intervals
Sheng Chen, Jie Shen, Lilian Wang
Tempered fractional derivatives originated from the tempered fractional diffusion equations (TFDEs) modeled on the whole space R (see [23]). For numerically solving TFDEs, two kind…