Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1191.65174
Cattani, Carlo
Shannon wavelets for the solution of integrodifferential equations. (English)
[J] Math. Probl. Eng. 2010, Article ID 408418, 22 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: Shannon wavelets are used to define a method for the solution of integrodifferential equations. This method is based on (1) the Galerking method, (2) the Shannon wavelet representation, (3) the decorrelation of the generalized Shannon sampling theorem, and (4) the definition of connection coefficients. The Shannon sampling theorem is considered in a more general approach suitable for analysing functions ranging in multifrequency bands. This generalization coincides with the Shannon wavelet reconstruction of $L_{2}(\Bbb R)$ functions. Shannon wavelets are $C^{\infty }$-functions and their any order derivatives can be analytically defined by some kind of a finite hypergeometric series (connection coefficients).

MSC 2000:: *65R20 Integral equations (numerical methods)
45B05 Fredholm integral equations
65T60 Wavelets

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]