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- catalog abstract "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.".
- catalog contributor b2648202.
- catalog contributor b2648203.
- catalog contributor b2648204.
- catalog created "c1989.".
- catalog date "1989".
- catalog date "c1989.".
- catalog dateCopyrighted "c1989.".
- catalog description "Includes bibliographical references.".
- catalog description "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.".
- catalog extent "vii, 139 p. :".
- catalog hasFormat "Numerical solution of differential-algebraic systems by Runge-Kutta methods.".
- catalog identifier "0387518606 (U.S.) :".
- catalog identifier "3540518606".
- catalog isFormatOf "Numerical solution of differential-algebraic systems by Runge-Kutta methods.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1409.".
- catalog isPartOf "Lecture notes in mathematics ; 1409".
- catalog issued "1989".
- catalog issued "c1989.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Numerical solution of differential-algebraic systems by Runge-Kutta methods.".
- catalog subject "510 s 515/.352 20".
- catalog subject "Differential-algebraic equations Numerical solutions.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "QA3 .L28 no. 1409 QA372.5".
- catalog subject "Runge-Kutta formulas.".
- catalog title "The numerical solution of differential-algebraic systems by Runge-Kutta methods / Ernst Hairer, Christian Lubich, Michel Roche.".
- catalog type "text".