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“The Numerical Solution of Differential and Differential-Algebraic Systems”

Authors: Syvert P. Nørsett,
Affiliation: NTNU
Reference: 1985, Vol 6, No 3, pp. 141-152.

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Keywords: Initial value systems, algebraic constraints, stiff systems, discontinuities, index

Abstract: Systems of ordinary differential equations (ODE) or ordinary differential/algebraic equations (DAE) are well-known mathematical models. The numerical solution of such systems are discussed. For (ODE) we mention some available codes and stress the need of type insensitive versions. Further the term stiffness is redefined, and ideas on handling discontinuities are presented. The paper ends with a discussion of index for DAE.

PDF PDF (1186 Kb)        DOI: 10.4173/mic.1985.3.3



DOI forward links to this article:
  [1] G.L. Jones (1990), doi:10.1016/0098-1354(90)87054-S
  [2] John D. Perkins (1986), doi:10.4173/mic.1986.2.2
  [3] W. Marquardt, P. Holl and E.D. Gilles (1987), doi:10.1016/S1474-6670(17)55465-8
  [4] Hubert B. Keller (1987), doi:10.1007/978-3-642-73000-9_26


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BibTeX:
@article{MIC-1985-3-3,
  title={{The Numerical Solution of Differential and Differential-Algebraic Systems}},
  author={Nørsett, Syvert P.},
  journal={Modeling, Identification and Control},
  volume={6},
  number={3},
  pages={141--152},
  year={1985},
  doi={10.4173/mic.1985.3.3},
  publisher={Norwegian Society of Automatic Control}
};

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