Advertisement

A Simple Method for Quasilinearity Analysis of DAEs

  • Guangning Tan
  • Nedialko S. Nedialkov
  • John D. Pryce
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 117)

Abstract

We present a simple method for quasilinearity (QL) analysis of differential-algebraic equations (DAEs). It uses the signature matrix and offsets computed by Pryce’s structural analysis and determines if a DAE is QL in its leading derivatives. Our method is suitable for an implementation through operator overloading or source code translation.

References

  1. 1.
    Nedialkov, N.S., Pryce, J.D.: Solving differential-algebraic equations by Taylor series (II): computing the system Jacobian. BIT. 47(1), 121–135 (2007)zbMATHMathSciNetCrossRefGoogle Scholar
  2. 2.
    Nedialkov, N.S., Pryce, J.D.: Solving differential-algebraic equations by Taylor series (III): the DAETS code. JNAIAM 3(1–2), 61–80 (2008)zbMATHMathSciNetGoogle Scholar
  3. 3.
    Nedialkov, N.S., Pryce, J.D., Tan, G.: DAESA—a MATLAB tool for structural analysis of DAEs: software. ACM Trans. Math. Softw. (2013). Accepted for publicationGoogle Scholar
  4. 4.
    Pryce, J.D.: A simple structural analysis method for DAEs. BIT 41(2), 364–394 (2001)zbMATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    Pryce, J.D., Nedialkov, N.S., Tan, G.: DAESA—a MATLAB tool for structural analysis of DAEs: Theory. To appear in ACM Transactions on Mathematical Software (2014)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Guangning Tan
    • 1
  • Nedialko S. Nedialkov
    • 1
  • John D. Pryce
    • 2
  1. 1.Department of Computing and SoftwareMcMaster UniversityHamiltonCanada
  2. 2.Cardiff School of MathematicsCardiff UniversityCardiffUK

Personalised recommendations