Periodic Integral and Pseudodifferential Equations with Numerical Approximation Hardcover - 2001
by Jukka Saranen; Gennadi Vainikko
First line
From the rear cover
Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.
Details
- Title Periodic Integral and Pseudodifferential Equations with Numerical Approximation
- Author Jukka Saranen; Gennadi Vainikko
- Binding Hardcover
- Edition 1st
- Pages 452
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2001-11-06
- Illustrated Yes
- Features Illustrated
- ISBN 9783540418788 / 3540418784
- Weight 1.82 lbs (0.83 kg)
- Dimensions 9.21 x 6.14 x 1 in (23.39 x 15.60 x 2.54 cm)
- Library of Congress Catalog Number 2001054939
- Dewey Decimal Code 515.724
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Periodic Integral & Pseudodifferential Equations with Numerical Approximation
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PERIODIC INTEGRAL & PSEUDODIFFERENTIAL EQUATIONS WITH NUMERICAL APPROXIMATION
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Periodic Integral And Pseudodifferential Equations With Numerical Approximation (Hb 2002)
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Periodic Integral & Pseudodifferential Equations With Numerical Approximation
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Periodic Integral & Pseudodifferential Equations With Numerical Approximation
by Jukka Saranen, Gennadi Vainikko, J. Saranen ,
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