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Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
Prolate spheroidal wavefunctions, quadrature and interpolation. (English)
[J] Inverse Probl. 17, No.4, 805-838 (2001). ISSN 0266-5611

The authors construct quadrature, interpolation and differentiation formulae for band-limited functions, based on the properties of prolate spheroidal wavefunctions. Several numerical examples are considered.
[D.Acu (Sibiu)]
MSC 2000:
*65D32 Quadrature formulas (numerical methods)
41A55 Approximate quadratures
33C55 Elliptic integrals as hypergeometric functions
65D05 Interpolation (numerical methods)
65D25 Numerical differentiation

Keywords: quadrature and cubature formulas; interpolation; numerical differentiation; band-limited functions; prolate spheroidal wavefunctions; numerical examples

Cited in: Zbl pre06157063

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