A New Block Structural Index Reduction Approach for Large-Scale Differential Algebraic Equations

Author:

Tang Juan,Rao YongshengORCID

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference28 articles.

1. Principles of Object-Oriented Modeling and Simulation with Modelica 3.3: A Cyber-Physical Approach;Fritzson,2015

2. The structural index of sensitivity equation systems

3. ODE Methods for the Solution of Differential/Algebraic Systems

4. Differential/Algebraic Equations are not ODE’s

5. Differential-Algebraic Equations: A Projector Based Analysis;Lamour,2013

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