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Periodic Integral and Pseudodifferential Equations with Numerical Approximation

Periodic Integral and Pseudodifferential Equations with Numerical Approximation

von Gennadi Vainikko und Jukka Saranen
Hardcover - 9783540418788
106,99 €
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Softcover - 9783642075384
106,99 €

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Weitere Formate

Softcover - 9783642075384
106,99 €

Beschreibung

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

Verlag Springer Berlin
Ersterscheinung 06. November 2001
Maße 23.5 cm x 15.5 cm
Gewicht 863 Gramm
Format Hardcover
ISBN-13 9783540418788
Seiten 452

Schlagwörter

Analysis, Computational Mathematics and Numerical Analysis, Mathematische Analysis - allgemein, Numerische Mathematik

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