Wavelet based approximation schemes for singular integral equations

MRA of function spaces -- Approximations in multiscale basis -- Weakly singular kernels -- An integral equation with fixed singularity -- Cauchy singular kernels -- Hypersingular kernels.

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Bibliographische Detailangaben
1. Verfasser: Panja, Madan Mohan (VerfasserIn)
Weitere Verfasser: Mandal, Birendra Nath (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Boca Raton, London, New York CRC Press Taylor & Francis Group 2020
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Beschreibung
Zusammenfassung:MRA of function spaces -- Approximations in multiscale basis -- Weakly singular kernels -- An integral equation with fixed singularity -- Cauchy singular kernels -- Hypersingular kernels.
"Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering"--
Beschreibung:Includes bibliographical references (page 269-282) and indexes
Beschreibung:ix, 290 Seiten
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ISBN:9780367199173
978-0-367-19917-3