Exploiting Fine Block Triangularization and Quasilinearity in Differential-Algebraic Equation Systems
Numerical Analysis
2014-11-18 v1
Abstract
The -method for structural analysis of a differential-algebraic equation (DAE) system produces offset vectors from which the sparsity pattern of DAE's system Jacobian is derived; this pattern implies a fine block-triangular form (BTF). This article derives a simple method for quasilinearity analysis of a DAE and combines it with its fine BTF to construct a method for finding the minimal set of initial values needed for consistent initialization and a method for a block-wise computation of derivatives for the solution to the DAE.
Cite
@article{arxiv.1411.4128,
title = {Exploiting Fine Block Triangularization and Quasilinearity in Differential-Algebraic Equation Systems},
author = {Nedialko S. Nedialkov and Guangning Tan and John D. Pryce},
journal= {arXiv preprint arXiv:1411.4128},
year = {2014}
}