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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
Saranen, Jukka; Vainikko, Gennadi
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Description for Periodic Integral and Pseudodifferential Equations with Numerical Approximation
Paperback. 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. Series: Springer Monographs in Mathematics. Num Pages: 463 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 712.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
463
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
452
Place of Publication
Berlin, Germany
ISBN
9783642075384
SKU
V9783642075384
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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