Exploiting Fine Block Triangularization and Quasilinearity in Differential-Algebraic Equation Systems

Autor: Nedialkov, Nedialko S., Tan, Guangning, Pryce, John D.
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: The $\Sigma$-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.
Databáze: arXiv