Articles liés à Periodic Integral and Pseudodifferential Equations...

Periodic Integral and Pseudodifferential Equations with Numerical Approximation - Couverture souple

Livre 14 sur 184: Springer Monographs in Mathematics

Saranen, Jukka; Vainikko, Gennadi

 
9783642075384: Periodic Integral and Pseudodifferential Equations with Numerical Approximation
Couverture souple
ISBN 10 : 364207538X ISBN 13 : 9783642075384
Editeur : Springer, 2010

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
364207538X
ISBN 13 
9783642075384
Reliure
Broché
Nombre de pages
468
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Allemagne