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A New Block Structural Index Reduction Approach for Large-Scale Differential Algebraic Equations.
- Source :
-
Mathematics (2227-7390) . Nov2020, Vol. 8 Issue 11, p2057-2057. 1p. - Publication Year :
- 2020
-
Abstract
- A new generation of universal tools and languages for modeling and simulation multi-physical domain applications has emerged and became widely accepted; they generate large-scale systems of differential algebraic equations (DAEs) automatically. Motivated by the characteristics of DAE systems with large dimensions, high index or block structures, we first propose a modified Pantelides' algorithm (MPA) for any high order DAEs based on the Σ matrix, which is similar to Pryce's Σ method. By introducing a vital parameter vector, a modified Pantelides' algorithm with parameters has been presented. It leads to a block Pantelides' algorithm (BPA) naturally which can immediately compute the crucial canonical offsets for whole (coupled) systems with block-triangular form. We illustrate these algorithms by some examples, and preliminary numerical experiments show that the time complexity of BPA can be reduced by at least O (ℓ) compared to the MPA, which is mainly consistent with the results of our analysis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRAIC equations
*DIFFERENTIAL equations
*ALGORITHMS
*UNIVERSAL language
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 147274014
- Full Text :
- https://doi.org/10.3390/math8112057