Stability Properties of Differential-algebraic Equations and Spin-stabilized Discretizations

@inproceedings{KunkelStabilityPO,
  title={Stability Properties of Differential-algebraic Equations and Spin-stabilized Discretizations},
  author={Peter Kunkel and Volker Mehrmann}
}
Classical stability properties of solutions that are well-known for ordinary differential equations (ODEs) are generalized to differential-algebraic equations (DAEs). A new test equation is derived for the analysis of numerical methods applied to DAEs with respect to the stability of the numerical approximations. Morevover, a stabilization technique is developed to improve the stability of classical DAE integration methods. The stability regions for these stabilized discretization methods are… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 33 references

Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Second ed

  • E. HAIRER, G. WANNER
  • 1996
Highly Influential
7 Excerpts

Numerical Solution of Initial-Value Problems in Differential Algebraic Equations

  • K. E. BRENAN, S. L. CAMPBELL, L. R. PETZOLD
  • Second ed., SIAM Publications, Philadelphia, PA
  • 1996
Highly Influential
4 Excerpts

Multi-domain modeling with modelica

  • M. OTTER, H. ELMQVIST, S. E. MATTSON
  • Chap. 36, CRC Handbook of Dynamic System Modeling…
  • 2007
1 Excerpt

Solvability of linear differential algebraic equations with properly stated leading terms

  • R. MÄRZ
  • Results Math., 45
  • 2004
1 Excerpt

Topological analysis of qualitative features in electrical circuit theory

  • R. RIAZA, C. TISCHENDORF
  • Tech. Report 04-18, Institut für Mathematik…
  • 2004
1 Excerpt

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