Abstract | ||
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The paper deals with the application of periodic wavelts as basis functions for solution of the Fredholm type integral equations. We examine a special case for a degenerate kernel and show multiscale solution of an integral equation for a non-degenerate kernel. The benefits of the application of periodic harmonic wavelets are discussed. The approximation error of projection of solution on the space of periodized wavelets is analytically estimated. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1007/978-3-642-12165-4_13 | ICCSA |
Keywords | Field | DocType |
fredholm type,multiscale solution,paper deal,periodic wavelts,approximation error,basis function,non-degenerate kernel,periodized wavelet,periodic harmonic wavelet,integral equation,integro differential equation,collocation method,fredholm integral equation,decomposition | Summation equation,Mathematical optimization,Mathematical analysis,Fredholm integral equation,Integral equation,Basis function,Collocation method,Fredholm theory,Integral transform,Mathematics,Volterra integral equation | Conference |
Volume | ISSN | ISBN |
6017 | 0302-9743 | 3-642-12164-0 |
Citations | PageRank | References |
1 | 0.35 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Carlo Cattani | 1 | 92 | 26.22 |
A. Kudreyko | 2 | 13 | 2.56 |