東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Differential-Algebraic Equations = A...

Kunkel, Peter,

Linked to FindBook

Google Book

Amazon

博客來

Differential-Algebraic Equations = Analysis and Numerical Solution /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential-Algebraic Equations/ Peter Kunkel, Volker Mehrmann
Reminder of title:	Analysis and Numerical Solution /
Author:	Kunkel, Peter,
other author:	Mehrmann, Volker,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2006,
Description:	1 online resource (385 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/017
Online resource:	https://www.ems-ph.org/img/books/kunkel_mini.gif
ISBN:	9783037195178

Differential-Algebraic Equations = Analysis and Numerical Solution /
Kunkel, Peter,

Differential-Algebraic EquationsAnalysis and Numerical Solution /[electronic resource] :Peter Kunkel, Volker Mehrmann - Zuerich, Switzerland :European Mathematical Society Publishing House,2006 - 1 online resource (385 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others. This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge--Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text. The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study.

ISBN: 9783037195178

Standard No.: 10.4171/017doiSubjects--Topical Terms:

704075
Differential equations

Differential-Algebraic Equations = Analysis and Numerical Solution /
LDR:02786nmm a22003135a 4500 001 2233145
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20060228sz fot ||| 0|eng d
020 $a 9783037195178
024 7 0 $a 10.4171/017 $2 doi
035 $a 36-091109
040 $a ch0018173
072 7 $a PBKJ $2 bicssc
072 7 $a PBS $2 bicssc
084 $a 34-xx $a 65-xx $2 msc
100 1 $a Kunkel, Peter, $e author. $3 3480848
245 1 0 $a Differential-Algebraic Equations $h [electronic resource] : $b Analysis and Numerical Solution / $c Peter Kunkel, Volker Mehrmann
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2006
300 $a 1 online resource (385 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Textbooks in Mathematics (ETB)
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others. This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge--Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text. The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Numerical analysis $3 1245518
650 0 7 $a Ordinary differential equations $2 msc $3 3480850
700 1 $a Mehrmann, Volker, $e author. $3 3480849
856 4 0 $u https://doi.org/10.4171/017
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/kunkel_mini.gif