Periodic Integral and Pseudodifferential Equations with Numerical Approximation / Springer Monographs in Mathematics (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autoren: Jukka Saranen , Gennadi Vainikko
- 2013, 2002, 452 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3662047969
- ISBN-13: 9783662047965
- Erscheinungsdatum: 09.03.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 28 MB
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Sprache:
Englisch
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