Using Krylov methods in the solution of large-scale differential-algebraic systems

Journal Article · Tue Nov 01 00:00:00 EST 1994 · SIAM Journal on Scientific Computing; (United States)

DOI:https://doi.org/10.1137/0915088· OSTI ID:6813942

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

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1. Lawrence Livermore National Lab., CA (United States). Computing and Mathematics Research Division
2. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Computer Science

In this paper, a new algorithm for the solution of large-scale systems of differential-algebraic equations is described. It is based on the integration methods in the solver DASSL, but instead of a direct method for the associated linear systems which arise at each time step, the authors apply the preconditioned GMRES iteration in combination with an Inexact Newton Method. The algorithm, along with those in DASSL, is implemented in a new solver called DASPK. They outline the algorithms and strategies used, and discuss the use of the solver. They develop and analyze some preconditioners for a certain class of DAE stems, and finally demonstrate the application of DASPK on two example problems.

• DOE Contract Number: W-7405-ENG-48; FG02-92ER25130
• OSTI ID: 6813942
• Journal Information: SIAM Journal on Scientific Computing; (United States), Vol. 15:6; ISSN 1064-8275
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
DIFFERENTIAL EQUATIONS
ALGORITHMS
ALGEBRA
D CODES
EVALUATION
ITERATIVE METHODS
CALCULATION METHODS
COMPUTER CODES
EQUATIONS
MATHEMATICAL LOGIC
MATHEMATICS
990200* - Mathematics & Computers