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Differential-Algebraic Equations = A...

Kunkel, Peter,

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Differential-Algebraic Equations = Analysis and Numerical Solution /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential-Algebraic Equations/ Peter Kunkel, Volker Mehrmann
其他題名:	Analysis and Numerical Solution /
作者:	Kunkel, Peter,
其他作者:	Mehrmann, Volker,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2006,
面頁冊數:	1 online resource (385 pages)
標題:	Differential equations -
電子資源:	https://doi.org/10.4171/017
電子資源:	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 /
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