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Uniform Estimates of the Prolate Spheroidal Wave Functions and Spectral Approximation in Sobolev Spaces
Uniform Estimates of the Prolate Spheroidal Wave Functions Spectral Approximation Sobolev Spaces
2011/2/22
For fixed c Prolate Spheroidal Wave Functions ψn,c form a basis with remarkable properties
for the space of band-limited functions with bandwith c and have been largely studied and
used after the se...
Subdivision algorithm (Stationary or Non-stationary) is one of
the most active and exciting research topics in wavelet analysis
and applied mathematical theory. In multidimensional non-stationary
s...
A spectral scheme is considered for solving the barotropic vorticity equation. The error estimates are proved strictly. The technique used in this paper is also useful for other nonlinear problems def...