Periodic Integral and Pseudodifferential Equations with Numerical Approximation

Name: Periodic Integral and Pseudodifferential Equations with Numerical Approximation
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540418788
Price: 549.92 RON
Availability: InStock

Autor: Jukka Saranen, Gennadi Vainikko

Limbă:

Legare: Copertă tare

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern

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Classical boundary integral equations arising from the potential theory and acoustics (Laplace and H...

Informații despre carte

Autor

Jukka Saranen, Gennadi Vainikko

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2001

Pagini

452

EAN

9783540418788

ISBN

3540418784

Enbook ID

01563394

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

1830

Dimensiuni

155 x 235 x 30

Descriere completă

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, periodicdistributions, 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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Periodic Integral and Pseudodifferential Equations with Numerical Approximation

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