Methods and software for differential-algebraic systems
Conference
·
OSTI ID:5909131
In recent years there has been a great deal of progress in the development of numerical methods and software for the solution of initial value problems in differential-algebraic equations (DAE's). In this paper we review the current state of the development and analysis of numerical methods such as multistep and implicit Runge-Kutta applied to classes of DAE's occurring in applications. We describe some of the available software, giving in particular details on the implementation and use of DASSL and its extensions. 37 refs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5909131
- Report Number(s):
- UCRL-101208; CONF-8908105-1; ON: DE89015118
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
990230* -- Mathematics & Mathematical Models-- (1987-1989)
ALGORITHMS
COMPUTER ARCHITECTURE
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
RUNGE-KUTTA METHOD
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
990230* -- Mathematics & Mathematical Models-- (1987-1989)
ALGORITHMS
COMPUTER ARCHITECTURE
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
RUNGE-KUTTA METHOD