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Periodic Integral and Pseudodifferential Equations with Numerical Approximation (Springer Monographs in Mathematics) - Hardcover

Buch 14 von 187: Springer Monographs in Mathematics

Saranen, Jukka; Vainikko, Gennadi

 
9783540418788: Periodic Integral and Pseudodifferential Equations with Numerical Approximation (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3540418784 ISBN 13: 9783540418788
Verlag: Springer, 2001

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
3540418784
ISBN 13 
9783540418788
Einband
Gebundene Ausgabe
Anzahl der Seiten
463
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