ENGLISH

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

By Jukka Saranen

Book information

Publisher
Springer
Year
2010
ISBN
364207538X, 9783642075384
Language
english
Format
DJVU
Filesize
3 MB (3108451 bytes)
Edition
Softcover reprint of hardcover 1st ed. 2002
Pages
463\461
DPI
600
Time added
2024-08-04 06:13:53

Description

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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