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Springer Series in Computational Mathematics #14: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems

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Springer Series in Computational Mathematics #14: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book covers the solution of stiff differential equations and of differential-algebraic systems. This second edition contains new material including numerical tests, recent progress in numerical differential-algebraic equations, and improved FORTRAN codes.

Synopsis:

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. From the reviews: "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

Product Details

ISBN:
9783642052200
Author:
Hairer, E.
Publisher:
Springer
Author:
Wanner, Gerhard
Author:
Hairer, Ernst
Subject:
Number Systems
Subject:
Mathematical Analysis
Subject:
Chemistry - Physical & Theoretical
Subject:
Differential Equations
Subject:
Applied
Subject:
Differential-algebraic systems
Subject:
Differentialgeichung
Subject:
Numerical analysis
Subject:
Numerik
Subject:
ordinary differential equations
Subject:
Runge-Kutta-Methods
Subject:
Multistep Methods
Subject:
Analysis
Subject:
Theoretical and Computational Chemistry
Subject:
mathematical methods in physics
Subject:
Numerical and Computational Physics
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Mathematics-Differential Equations
Copyright:
Edition Description:
2nd ed. 1996
Series:
Springer Series in Computational Mathematics
Series Volume:
14
Publication Date:
20100308
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
630
Dimensions:
235 x 155 mm 1930 gr

Related Subjects


Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Physics » General

Springer Series in Computational Mathematics #14: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems New Trade Paper
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$119.00 In Stock
Product details 630 pages Springer - English 9783642052200 Reviews:
"Synopsis" by , This book covers the solution of stiff differential equations and of differential-algebraic systems. This second edition contains new material including numerical tests, recent progress in numerical differential-algebraic equations, and improved FORTRAN codes.
"Synopsis" by , 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. From the reviews: "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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