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Opis

An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Periodic Integral and Pseudodifferential Equations with Numerical Approximation
• Autor: Jukka Saranen, Gennadi Vainikko
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 452
• EAN: 9783642075384
• ISBN: 364207538X
• ID: 01652660
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 712 g
• Wymiary: 25 × 155 × 26 mm
• Data wydania: 07. December 2010

Ulubione w innej kategorii

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