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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer Series in Computational Mathematics, 14) - Hardcover
The subject of this book is the solution of stiff differential equations and of differential-algebraic systems. This second edition contains new material including new numerical tests, recent progress in numerical differential-algebraic equations, and improved FORTRAN codes.
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"A superb book...Throughout, illuminating graphics, sketches and quotes from papers of researchers in the field add an element of easy informality and motivate the text." --MATHEMATICS TODAY
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The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). There is a chapter on one-step and extrapolation methods for stiff problems, another on multistep methods and general linear methods for stiff problems, a third on the treatment of singular perturbation problems, and a last one on differential-algebraic problems with applications to constrained mechanical systems. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g. in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.
Ernst Hairer and Gerhard Wanner were jointly awarded the 2003 Peter Henrici Prize at ICIAM 2003 in Sydney, Australia.
From the reviews of the second edition:
This is a superb book...Throughout, illuminating graphics, sketches and quotes from papers of researchers in the field add an element of easy informality and motivate the text." Mathematics Today
“This volume, on nonstiff equations, is the second of a two-volume set. This second volume treats stiff differential equations and differential-algebraic equations. ... This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial.” (Teodora-Liliana Rădulescu, Zentralblatt MATH, Vol. 1192, 2010)
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- PublisherSpringer
- Publication date1996
- ISBN 10 3540604529
- ISBN 13 9783540604525
- BindingHardcover
- Edition number2
- Number of pages629
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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 2nd
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Book Description Soft cover. Condition: New. Dust Jacket Condition: New. International Edition. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 614 p. Contains: Illustrations. Lecture Notes in Economic and Mathematical Systems, 8. Audience: General/trade. Seller Inventory # K376H0000176
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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 2nd edition
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Book Description Soft cover. Condition: New. Dust Jacket Condition: New. International Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-1591677534928
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Solving Ordinary Differential Equations II : Stiff and Differential-Algebraic Problems
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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer Series in Computational Mathematics) (v. 2) by Hairer, Ernst, Wanner, Gerhard [Hardcover ]
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Solving Ordinary Differential Equations II : Stiff and Differential-Algebraic Problems
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Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9783540604525_lsuk
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SOLVING ORDINARY DIFFERENTIAL EQ
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Book Description Condition: New. New. In shrink wrap. Looks like an interesting title! 2.25. Seller Inventory # Q-3540604529
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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer Series in Computational Mathematics, 14)
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Book Description Condition: New. Seller Inventory # ABLIING23Mar3113020171964
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Solving Ordinary Differential Equations 2
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Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The subject of this book is the solution of stiff differential equations and of differential-algebraic systemsThis second completely revised and enlarged edition contains, in particular, such new material as: explicit method with optimal stability, new nume. Seller Inventory # 458675762
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Solving Ordinary Differential Equations II
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Springer Berlin Heidelberg Sep 1996
(1996)
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'Whatever regrets may be, we have done our best.' (Sir Ernest Shack 0 leton, turning back on 9 January 1909 at 88 23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential algebraic equations. It contains three chapters: Chapter IV on one-step (Runge-Kutta) meth ods for stiff problems, Chapter V on multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretical nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered con secutively in each section and indicate, in addition, the section number. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by 'author' plus 'year' in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete. 632 pp. Englisch. Seller Inventory # 9783540604525
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