A Unified Approach to Boundary Value Problems (C B M S - N S F REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS, Band 78) - Softcover

Fokas, Athanassios S.

9780898716511: A Unified Approach to Boundary Value Problems (C B M S - N S F REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS, Band 78)

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ISBN 10: 0898716519 ISBN 13: 9780898716511

Verlag: Cambridge University Pr., 2008

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Presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.

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�ber die Autorin bzw. den Autor

Athanassios S. Fokas is Professor of Nonlinear Mathematical Science in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. In 2000 he was awarded the Naylor Prize for his work on which this book is based. In 2006 he received the Excellence Prize of the Bodossaki Foundation.

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Verlag: Cambridge University Pr.
Erscheinungsdatum: 2008
Sprache: Englisch
ISBN 10: 0898716519
ISBN 13: 9780898716511
Einband: Taschenbuch
Anzahl der Seiten: 356
Kontakt zum Hersteller: Nicht verf�gbar
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A Unified Approach to Boundary Value Problems

Fokas, Athanassios S.

Verlag: Society for Industrial and Applied Mathematics, Philadelphia, 2008

ISBN 10: 0898716519 ISBN 13: 9780898716511

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A Unified Approach to Boundary Value Problems (eng)

Fokas, Athanassios S.

Verlag: Society for Industrial and Applied Mathematics, 2008

ISBN 10: 0898716519 ISBN 13: 9780898716511

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Unified Approach to Boundary Value Problems

Fokas, Athanassios S.

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ISBN 10: 0898716519 ISBN 13: 9780898716511

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A Unified Approach to Boundary Value Problems

Athanassios S. Fokas

Verlag: MP-SIA SIAM - Society for Industrial and Applied M, 2008

ISBN 10: 0898716519 ISBN 13: 9780898716511

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A Unified Approach to Boundary Value Problems (Paperback)

Athanassios S. Fokas

Verlag: Society for Industrial & Applied Mathematics,U.S., New York, 2008

ISBN 10: 0898716519 ISBN 13: 9780898716511

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Paperback. Zustand: new. Paperback. Presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat equation on a finite interval and the Helmholtz equation in the interior of an equilateral triangle.The authors thorough introduction allows the interested reader to quickly assimilate the essential results of the book, avoiding many computational details. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated radon transform and the Dirichlet-to-Neumann map for a moving boundary; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs.An epilogue provides a list of problems on which the authors new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.Several new developments are addressed in the book, including:A new transform method for linear evolution equations on the half-line and on the finite interval.Analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary.Integral representations for linear boundary value problems.Analytical and numerical methods for elliptic PDEs in a convex polygon.Integrable nonlinear PDEs. Presents a new approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9780898716511

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A Unified Approach to Boundary Value Problems

Athanassios S. Fokas

Verlag: Society for Industrial and Applied Mathematics,U.S., US, 2008

ISBN 10: 0898716519 ISBN 13: 9780898716511

Neu Paperback

Anbieter: Rarewaves.com USA, London, LONDO, Vereinigtes K�nigreich

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Paperback. Zustand: New. Presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat equation on a finite interval and the Helmholtz equation in the interior of an equilateral triangle.The author's thorough introduction allows the interested reader to quickly assimilate the essential results of the book, avoiding many computational details. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated radon transform and the Dirichlet-to-Neumann map for a moving boundary; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs.An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.Several new developments are addressed in the book, including:A new transform method for linear evolution equations on the half-line and on the finite interval.Analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary.Integral representations for linear boundary value problems.Analytical and numerical methods for elliptic PDEs in a convex polygon.Integrable nonlinear PDEs. Bestandsnummer des Verk�ufers LU-9780898716511

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