Back to Search
Start Over
Highest order multistep formula for solving index-2 differential-algebraic equations.
- Source :
- BIT: Numerical Mathematics; Dec1998, Vol. 38 Issue 4, p663-673, 11p
- Publication Year :
- 1998
-
Abstract
- In this paper, the maximum order of linear multistep methods (LMM) for solving semi-explict index-2 differential-algebraic equations (DAEs) is discussed. For a k-step formula, we prove that the orders of differential variables and algebraic variables do not exceed k+1 and k respectively when k is odd and both orders do not exceed k when k is even. In order to achieve the order k+1, the coefficients in the formula should satisfy some strict conditions. Examples which can achieve the maximum order are given for k=1,2,3. Especially, a class of multistep formula for k=3, not appearing in the literature before, are proposed. Further, a class of predictor-corrector methods are constructed to remove the restriction of the infinite stability. They give the same maximum order as that for solving ODEs. Numerical tests confirm the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00063835
- Volume :
- 38
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- BIT: Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 50084256
- Full Text :
- https://doi.org/10.1007/BF02510407