# Numerical Methods for Ordinary Differential Systems: The Initial Value Problem

## J. D. Lambert

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Numerical Methods for Ordinary Differential Systems The Initial Value Problem J. D. Lambert Professor of Numerical Analysis University of Dundee Scotland In 1973 the author published a book entitled Computational Methods in Ordinary Differential Equations. Since then, there have been many new developments in this subject and the emphasis has changed substantially. This book reflects these changes; it is intended not as a revision of the earlier work but as a complete replacement for it. Although some basic material appears in both books, the treatment given here is generally different and there is very little overlap. In 1973 there were many methods competing for attention but more recently there has been increasing emphasis on just a few classes of methods for which sophisticated implementations now exist. This book places much more emphasis on such implementations--and on the important topic of stiffness--than did its predecessor. Also included are accounts of the structure of variable-step, variable-order methods, the Butcher and the Albrecht theories for Runge--Kutta methods, order stars and nonlinear stability theory. The author has taken a middle road between analytical rigour and a purely computational approach, key results being stated as theorems but proofs being provided only where they aid the reader's understanding of the result. Numerous exercises, from the straightforward to the demanding, are included in the text. This book will appeal to advanced students and teachers of numerical analysis and to users of numerical methods who wish to understand how algorithms for ordinary differential systems work and, on occasion, fail to work.

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The numerical methods for initial value problems in ordinary differential systems reflect an important change in emphasis from the author's previous work on this subject. The new treatment limits the number of methods used and emphasizes sophisticated and well-analyzed implementations. It covers the Runge-Kutta methods including the non-rigorous account of Butcher theory, Albrecht approach and stiffness and non-linear stability theory. Also contains are exercises and experiments.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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## 1.NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL SYSTEMS: THE INITIAL VALUE PROBLEM

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## 3.NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL SYSTEMS: THE INITIAL VALUE PROBLEM

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## 7.Numerical Methods for Ordinary Differential Systems: The Initial Value Problem (Hardback)

Editore: John Wiley and Sons Ltd, United Kingdom (1992)
ISBN 10: 0471929905 ISBN 13: 9780471929901
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Descrizione libro John Wiley and Sons Ltd, United Kingdom, 1992. Hardback. Condizione libro: New. Language: English . Brand New Book. Numerical Methods for Ordinary Differential Systems The Initial Value Problem J. D. Lambert Professor of Numerical Analysis University of Dundee Scotland In 1973 the author published a book entitled Computational Methods in Ordinary Differential Equations. Since then, there have been many new developments in this subject and the emphasis has changed substantially. This book reflects these changes; it is intended not as a revision of the earlier work but as a complete replacement for it. Although some basic material appears in both books, the treatment given here is generally different and there is very little overlap. In 1973 there were many methods competing for attention but more recently there has been increasing emphasis on just a few classes of methods for which sophisticated implementations now exist. This book places much more emphasis on such implementations----and on the important topic of stiffness----than did its predecessor. Also included are accounts of the structure of variable--step, variable--order methods, the Butcher and the Albrecht theories for Runge----Kutta methods, order stars and nonlinear stability theory. The author has taken a middle road between analytical rigour and a purely computational approach, key results being stated as theorems but proofs being provided only where they aid the readera s understanding of the result. Numerous exercises, from the straightforward to the demanding, are included in the text. This book will appeal to advanced students and teachers of numerical analysis and to users of numerical methods who wish to understand how algorithms for ordinary differential systems work and, on occasion, fail to work. Codice libro della libreria AAH9780471929901

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## 8.Numerical Methods for Ordinary Differential Systems

Editore: Wileyand#8211;Blackwell (1991)
ISBN 10: 0471929905 ISBN 13: 9780471929901
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Descrizione libro Wileyand#8211;Blackwell, 1991. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria FW-9780471929901

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## 9.Numerical Methods for Ordinary Differential Systems: The Initial Value Problem (Hardback)

Editore: John Wiley and Sons Ltd, United Kingdom (1992)
ISBN 10: 0471929905 ISBN 13: 9780471929901
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Descrizione libro John Wiley and Sons Ltd, United Kingdom, 1992. Hardback. Condizione libro: New. Language: English . Brand New Book. Numerical Methods for Ordinary Differential Systems The Initial Value Problem J. D. Lambert Professor of Numerical Analysis University of Dundee Scotland In 1973 the author published a book entitled Computational Methods in Ordinary Differential Equations. Since then, there have been many new developments in this subject and the emphasis has changed substantially. This book reflects these changes; it is intended not as a revision of the earlier work but as a complete replacement for it. Although some basic material appears in both books, the treatment given here is generally different and there is very little overlap. In 1973 there were many methods competing for attention but more recently there has been increasing emphasis on just a few classes of methods for which sophisticated implementations now exist. This book places much more emphasis on such implementations----and on the important topic of stiffness----than did its predecessor. Also included are accounts of the structure of variable--step, variable--order methods, the Butcher and the Albrecht theories for Runge----Kutta methods, order stars and nonlinear stability theory. The author has taken a middle road between analytical rigour and a purely computational approach, key results being stated as theorems but proofs being provided only where they aid the readera s understanding of the result. Numerous exercises, from the straightforward to the demanding, are included in the text. This book will appeal to advanced students and teachers of numerical analysis and to users of numerical methods who wish to understand how algorithms for ordinary differential systems work and, on occasion, fail to work. Codice libro della libreria AAH9780471929901

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## 10.Numerical Methods for Ordinary Differential Systems: The Initial Value Problem

Editore: Wiley (2017)
ISBN 10: 0471929905 ISBN 13: 9780471929901
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Descrizione libro Wiley, 2017. Hardcover. Condizione libro: New. Never used! This item is printed on demand. Codice libro della libreria P110471929905

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