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Periodic Integral and Pseudodifferential Equations with Numerical Approximation (Springer Monographs in Mathematics) - Hardcover
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.
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From the Back Cover
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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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
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Periodic Integral & Pseudodifferential Equations with Numerical Approximation
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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
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Springer Berlin Heidelberg, 2001
ISBN 10: 3540418784
ISBN 13: 9783540418788
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Periodic Integral & Pseudodifferential Equations with Numerical Approximation
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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
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Springer Berlin Heidelberg, 2001
ISBN 10: 3540418784
ISBN 13: 9783540418788
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. An attractive book in the intersection of analysis and numerical analysisClassical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these. Seller Inventory # 4889500
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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
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Springer Berlin Heidelberg Nov 2001, 2001
ISBN 10: 3540418784
ISBN 13: 9783540418788
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 468 pp. Englisch. Seller Inventory # 9783540418788
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