Synopsis
In this book, the author compares the meaning of stability in different subfields of numerical mathematics.
Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.
In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is also in the editorial board of Springer's book series "Advances in Numerical Mathematics" and "The International Cryogenics Monograph Series".
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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The Concept of Stability in Numerical Mathematics
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Springer Berlin Heidelberg Aug 2016, 2016
ISBN 10 : 3662513714
ISBN 13 : 9783662513712
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability. 204 pp. Englisch. N° de réf. du vendeur 9783662513712
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The Concept of Stability in Numerical Mathematics
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a self-contained presentation of aspects of stability in numerical mathematicsCompares and characterizes stability in different subfields of numerical mathematicsCovers numerical treatment of ordinary differential equations, discretisation. N° de réf. du vendeur 385771807
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The Concept of Stability in Numerical Mathematics
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2016, 2016
ISBN 10 : 3662513714
ISBN 13 : 9783662513712
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Taschenbuch. Etat : Neu. Neuware -In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch. N° de réf. du vendeur 9783662513712
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The Concept of Stability in Numerical Mathematics (Springer Series in Computational Mathematics (45))
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The Concept of Stability in Numerical Mathematics
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Springer Berlin Heidelberg, 2016
ISBN 10 : 3662513714
ISBN 13 : 9783662513712
Neuf
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability. N° de réf. du vendeur 9783662513712
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