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Wavelet based approximation schemes for singular integral equations / M.M. Panja, B.N. Mandal.

By: Panja, M. M. (Madan Mohan), 1960- [author.].
Contributor(s): Mandal, B. N [author.].
Material type: materialTypeLabelBookPublisher: Boca Raton : CRC Press, Taylor & Francis Group, [2020]Copyright date: ©2020Description: 1 online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780429534287; 0429534280; 9780429244070; 042924407X; 9780429548987; 0429548982; 9780429520815; 0429520816.Subject(s): Wavelets (Mathematics) | Integral equations | Numerical analysis | MATHEMATICS / Differential Equations | MATHEMATICS / Number Systems | MATHEMATICS / Functional AnalysisDDC classification: 515/.45 Online resources: Taylor & Francis | OCLC metadata license agreement
Contents:
MRA of function spaces -- Approximations in multiscale basis -- Weakly singular kernels -- An integral equation with fixed singularity -- Cauchy singular kernels -- Hypersingular kernels.
Summary: "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"-- Provided by publisher.
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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"-- Provided by publisher.

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