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Differential-algebraic equations : analysis and numerical solution,Peter Kunkel, Volker Mehrmann,European Mathematical Society by Peter Kunkel and Volker Mehrmann; Peter Kunkel and Volker Mehrmann is a mathematics available to read on EtoBox.
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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 d
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- Author
- Peter Kunkel and Volker Mehrmann; Peter Kunkel and Volker Mehrmann
- Publisher
- European Mathematical Society Publishing House
- Published
- 2006
- Language
- EN
- ISBN
- 9783037190173
- Category
- mathematics
- Subjects
- Mathematics, Differential Equations, Stem
- Rating
- 4 / 5 (2 ratings)
- Updated
- 2026-03-14
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