Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics - Couverture souple

Shalashilin, V.I.; Kuznetsov, E. B.

9789048163915: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

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ISBN 10 : 9048163919 ISBN 13 : 9789048163915

Editeur : Springer, 2011

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A decade has passed since Problems of Nonlinear Deformation, the first book by E.I. Grigoliuk: and V.I. Shalashilin was published. That work gave a systematic account of the parametric continuation method. Ever since, the understanding of this method has sufficiently broadened. Previously this method was considered as a way to construct solution sets of nonlinear problems with a parameter. Now it is c1ear that one parametric continuation algorithm can efficiently work for building up any parametric set. This fact significantly widens its potential applications. A curve is the simplest example of such a set, and it can be used for solving various problems, inc1uding the Cauchy problem for ordinary differential equations (ODE), interpolation and approximation of curves, etc. Research in this area has led to exciting results. The most interesting of such is the understanding and proof of the fact that the length of the arc calculated along this solution curve is the optimal continuation parameter for this solution. We will refer to the continuation solution with the optimal parameter as the best parametrization and in this book we have applied this method to variable c1asses of problems: in chapter 1 to non-linear problems with a parameter, in chapters 2 and 3 to initial value problems for ODE, in particular to stiff problems, in chapters 4 and 5 to differential-algebraic and functional differential equations.

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�diteur: Springer
Date d'�dition: 2011
Langue: anglais
ISBN 10: 9048163919
ISBN 13: 9789048163915
Reliure: Broch�
Nombre de pages: 240
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

V.I. Shalashilin|E. B. Kuznetsov

Edit� par Springer Netherlands, 2011

ISBN 10 : 9048163919 ISBN 13 : 9789048163915

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The optimal continuation parameter provides the best conditions in a linearized system of equations at any moment of the continuation process. This is one of the first books in which the best parametrization is regarded systematically for a wide class of. N� de r�f. du vendeur 5820241

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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Shalashilin, V.I.; Kuznetsov, E. B.

Edit� par Springer, 2011

ISBN 10 : 9048163919 ISBN 13 : 9789048163915

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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

E. B. Kuznetsov

Edit� par Springer Netherlands Sep 2011, 2011

ISBN 10 : 9048163919 ISBN 13 : 9789048163915

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The optimal continuation parameter provides the best conditions in a linearized system of equations at any moment of the continuation process. This is one of the first books in which the best parametrization is regarded systematically for a wide class of problems. It is of interest to scientists, specialists, and postgraduate students of applied and numerical mathematics and mechanics. 240 pp. Englisch. N� de r�f. du vendeur 9789048163915

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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Shalashilin, V. I.

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ISBN 10 : 9048163919 ISBN 13 : 9789048163915

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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

E. B. Kuznetsov

Edit� par Springer Netherlands, 2011

ISBN 10 : 9048163919 ISBN 13 : 9789048163915

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - A decade has passed since Problems of Nonlinear Deformation, the first book by E.I. Grigoliuk: and V.I. Shalashilin was published. That work gave a systematic account of the parametric continuation method. Ever since, the understanding of this method has sufficiently broadened. Previously this method was considered as a way to construct solution sets of nonlinear problems with a parameter. Now it is c1ear that one parametric continuation algorithm can efficiently work for building up any parametric set. This fact significantly widens its potential applications. A curve is the simplest example of such a set, and it can be used for solving various problems, inc1uding the Cauchy problem for ordinary differential equations (ODE), interpolation and approximation of curves, etc. Research in this area has led to exciting results. The most interesting of such is the understanding and proof of the fact that the length of the arc calculated along this solution curve is the optimal continuation parameter for this solution. We will refer to the continuation solution with the optimal parameter as the best parametrization and in this book we have applied this method to variable c1asses of problems: in chapter 1 to non-linear problems with a parameter, in chapters 2 and 3 to initial value problems for ODE, in particular to stiff problems, in chapters 4 and 5 to differential-algebraic and functional differential equations. N� de r�f. du vendeur 9789048163915

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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

E. B. Kuznetsov

Edit� par Springer Netherlands, Springer Netherlands Sep 2011, 2011

ISBN 10 : 9048163919 ISBN 13 : 9789048163915

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -A decade has passed since Problems of Nonlinear Deformation, the first book by E.I. Grigoliuk: and V.I. Shalashilin was published. That work gave a systematic account of the parametric continuation method. Ever since, the understanding of this method has sufficiently broadened. Previously this method was considered as a way to construct solution sets of nonlinear problems with a parameter. Now it is c1ear that one parametric continuation algorithm can efficiently work for building up any parametric set. This fact significantly widens its potential applications. A curve is the simplest example of such a set, and it can be used for solving various problems, inc1uding the Cauchy problem for ordinary differential equations (ODE), interpolation and approximation of curves, etc. Research in this area has led to exciting results. The most interesting of such is the understanding and proof of the fact that the length of the arc calculated along this solution curve is the optimal continuation parameter for this solution. We will refer to the continuation solution with the optimal parameter as the best parametrization and in this book we have applied this method to variable c1asses of problems: in chapter 1 to non-linear problems with a parameter, in chapters 2 and 3 to initial value problems for ODE, in particular to stiff problems, in chapters 4 and 5 to differential-algebraic and functional differential equations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 240 pp. Englisch. N� de r�f. du vendeur 9789048163915

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