Numerical methods for differential-algebraic equations: Current status and future directions
Conference
·
OSTI ID:5818293
Many physical systems are naturally described as systems of differential-algebraic equations (DAE's). These types of systems occur in the modeling of electrical networks, flow of incompressible fluids, control, mechanical systems subject to constraints, and in many other applications. This class of problems include systems which are in many ways quite different from ODE's. In this paper we outline some of the recent developments in the numerical solution of DAE systems, including problem structure and formulation, convergence and order results for multistep and Runge-Kutta methods, and general purpose codes. Finally, we indicate some directions for future progress. 36 refs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5818293
- Report Number(s):
- UCRL-101209; CONF-8907106-2; ON: DE89015116
- Country of Publication:
- United States
- Language:
- English
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