Numerical Approximation of Partial Differential Equations (Springer Series in Computational Mathematics, 23)
Quarteroni, Alfio
ISBN 10: 3540852670 ISBN 13: 9783540852674
Editore: Springer, 2008
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In English. Codice articolo ria9783540852674_new
Riassunto:
This soft cover reprint of the popular hardbound thoroughly illustrates numerical methods. It carries out their stability and convergence analysis, derives error bounds, and discusses the algorithmic aspects relative to their implementation.
Dalla quarta di copertina:
This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method.
From the reviews:
"...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS
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Titolo: Numerical Approximation of Partial ...
Casa editrice: Springer
Data di pubblicazione: 2008
Legatura: Brossura
Condizione: New
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Taschenbuch. Condizione: Neu. Numerical Approximation of Partial Differential Equations | Alfio Quarteroni (u. a.) | Taschenbuch | xvi | Englisch | 2008 | Springer | EAN 9783540852674 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 101759772
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Springer Berlin Heidelberg, 2008
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ISBN 13: 9783540852674
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on t. Codice articolo 4901464
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Numerical Approximation of Partial Differential Equations (Springer Series in Computational Mathematics, 23)
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Numerical Approximation of Partial Differential Equations
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Springer, Berlin, Springer Berlin Heidelberg, Springer, 2008
ISBN 10: 3540852670
ISBN 13: 9783540852674
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion). 544 pp. Englisch. Codice articolo 9783540852674
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Numerical Approximation of Partial Differential Equations
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Springer, Berlin, Springer Berlin Heidelberg, Springer, 2008
ISBN 10: 3540852670
ISBN 13: 9783540852674
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion). Codice articolo 9783540852674
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