Differential-algebraic equations : Analysis and numerical solution

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 th...

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Tác giả chính:	Kunkel, Peter
Định dạng:	Sách
Ngôn ngữ:	Undetermined
Được phát hành:	Germany European Mathematical Society 2006
Những chủ đề:	Differential-algebraic equations,Boundary value problems,Phương trình đại số vi phân,Những vấn đề của giá trị giới hạn
Các nhãn:	Thêm thẻ Không có thẻ, Là người đầu tiên thẻ bản ghi này!

Thư viện lưu trữ:	Trung tâm Học liệu Trường Đại học Cần Thơ


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100			\|a Kunkel, Peter
245		0	\|a Differential-algebraic equations :
245		0	\|b Analysis and numerical solution
245		0	\|c Peter Kunkel, Volker Mehrmann
260			\|a Germany
260			\|b European Mathematical Society
260			\|c 2006
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			\|a Differential-algebraic equations,Boundary value problems,Phương trình đại số vi phân,Những vấn đề của giá trị giới hạn
904			\|i Trọng Hải
980			\|a Trung tâm Học liệu Trường Đại học Cần Thơ

Differential-algebraic equations : Analysis and numerical solution

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