The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods

The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Author :
Publisher : Springer
Total Pages : 146
Release :
ISBN-13 : 9783540468325
ISBN-10 : 3540468323
Rating : 4/5 (23 Downloads)

Book Synopsis The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods by : Ernst Hairer

Download or read book The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods written by Ernst Hairer and published by Springer. This book was released on 2006-11-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.


The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods Related Books

The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Language: en
Pages: 146
Authors: Ernst Hairer
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular impli
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Language: en
Pages: 156
Authors: Ernst Hairer
Categories: Mathematics
Type: BOOK - Published: 1989-11-28 - Publisher: Lecture Notes in Mathematics

DOWNLOAD EBOOK

The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular impli
Differential-algebraic Equations
Language: en
Pages: 396
Authors: Peter Kunkel
Categories: Boundary value problems
Type: BOOK - Published: 2006 - Publisher: European Mathematical Society

DOWNLOAD EBOOK

Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as m
Numerical Solution of Initial-value Problems in Differential-algebraic Equations
Language: en
Pages: 268
Authors: K. E. Brenan
Categories: Mathematics
Type: BOOK - Published: 1996-01-01 - Publisher: SIAM

DOWNLOAD EBOOK

Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differentia
Numerical Solution of Ordinary Differential Equations
Language: en
Pages: 272
Authors: Kendall Atkinson
Categories: Mathematics
Type: BOOK - Published: 2011-10-24 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equat