Research Catalog

Title

The numerical solution of differential-algebraic systems by Runge-Kutta methods / Ernst Hairer, Christian Lubich, Michel Roche.

Author

Hairer, E. (Ernst)

Publication

Berlin ; New York : Springer-Verlag, c1989.

Items in the Library & Off-site

Details

Additional Authors

• Lubich, Christian, 1959-
• Roche, Michel, 1959-

Description

vii, 139 p. : ill.; 24 cm.

Summary

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.

Series Statement

Lecture notes in mathematics ; 1409

Uniform Title

Lecture notes in mathematics (Springer-Verlag) 1409.

Subject

• Differential-algebraic equations > Numerical solutions
• Runge-Kutta formulas
• Mathematics
• Numerical analysis

Bibliography (note)

• Includes bibliographical references.

Processing Action (note)

• committed to retain

ISBN

• 0387518606 (U.S.)
• 3540518606

LCCN

^^^89021987^

OCLC

• 20596192
• SCSB-10201671

Owning Institutions

Harvard Library