Wavelet based approximation schemes for singular integral equations. (2020)

• Record Type: Book
• Further Information: Note: M.M. Panja, B.N. Mandal.
• Authors: Panja, M. M (Madan Mohan), 1960-; Mandal, B. N
• Contents: Introduction Singular integral equation MRA of Function Spaces Multiresolution analysis of L2(R) Multiresolution analysis of L2([a, b] ⊂ R) Others Approximations in Multiscale Basis Multiscale approximation of functions Sparse approximation of functions in higher dimensions Moments Quadrature rules Multiscale representation of differential operators Representation of the derivative of a function in LMW basis Multiscale representation of integral operators Estimates of local Holder indices Error estimates in the multiscale approximation Nonlinear/Best n-term approximation Weakly Singular Kernels Existence and uniqueness Logarithmic singular kernel Kernels with algebraic singularity An Integral Equation with Fixed Singularity Method based on scale functions in Daubechies family Cauchy Singular Kernels Prerequisites Basis comprising truncated scale functions in Daubechies family Multiwavelet family Hypersingular Kernels Finite part integrals involving hypersingular functions Existing methods Reduction to Cauchy singular integro-differential equation Method based on LMW basis
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2020
• Extent: 1 online resource, illustrations (black and white, and colour)
• Subjects: 515.45; Wavelets (Mathematics); Integral equations; Numerical analysis
• Languages: English
• ISBNs: 9780429534287; 9780429520815; 9780429548987; 9780429244070
• Related ISBNs: 9780367199173
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
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• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.