Periodic Integral and Pseudodifferential Equations with Numerical Approximation (Springer Monographs in Mathematics)
Saranen, Jukka; Vainikko, Gennadi
ISBN 10: 364207538X ISBN 13: 9783642075384
Edité par Springer, 2010
Neuf(s)
Couverture souple
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Ria Christie Collections, Uxbridge, Royaume-Uni
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A propos de cet article
Description :
In. N° de réf. du vendeur ria9783642075384_new
Synopsis :
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.
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Détails bibliographiques
Titre : Periodic Integral and Pseudodifferential ...
Éditeur : Springer
Date d'édition : 2010
Reliure : Couverture souple
Etat : New