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Parametric Continuation Optimal Parametrization by Shalashilin V I (15 results)
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics (Paperback)
Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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US$ 67.79
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
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US$ 67.92
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US$ 65.81
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
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Condition: New. pp. 240 Index.
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
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US$ 90.16
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Add to basketPaperback. Condition: Brand New. 236 pages. 9.00x6.00x0.60 inches. In Stock.
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics (Paperback)
US$ 123.39
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Add to basketPaperback. Condition: new. Paperback. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
Published by Springer Netherlands, 2011
ISBN 10: 9048163919 ISBN 13: 9789048163915
Language: English
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Add to basketCondition: 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.
