Consistent initial condition calculation for differential-algebraic systems

Journal Article · Tue Sep 01 04:00:00 EDT 1998 · SIAM Journal on Scientific Computing

DOI:https://doi.org/10.1137/S1064827595289996· OSTI ID:321000

Brown, P N; Hindmarsh, A C ^[1]; Petzold, L R ^[2]

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1. Lawrence Livermore National Lab., CA (United States). Center for Applied Scientific Computing
2. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Computer Science

In this paper the authors describe a new algorithm for the calculation of consistent initial conditions for a class of systems of differential-algebraic equations which includes semi-explicit index-one systems. They consider initial condition problems of two types--one where the differential variables are specified, and one where the derivative vector is specified. The algorithm requires a minimum of additional information from the user. They outline the implementation in a general-purpose solver DASPK for differential-algebraic equations, and present some numerical experiments which illustrate its effectiveness.

• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States); National Inst. of Standards and Technology, Gaithersburg, MD (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 321000
• Journal Information: SIAM Journal on Scientific Computing, Journal Name: SIAM Journal on Scientific Computing Journal Issue: 5 Vol. 19; ISSN 1064-8275; ISSN SJOCE3
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
ALGORITHMS
CALCULATION METHODS
D CODES
DIFFERENTIAL EQUATIONS
IMPLEMENTATION