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On Consistent Initialization of Differential-Algebraic Equations with Discontinuities

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Proceedings of the Fourth European Conference on Mathematics in Industry

Part of the book series: European Consortium for Mathematics in Industry ((ECMI,volume 6))

Abstract

In general, most of the time-dependent mathematical models in chemical engineering are given in the form of a linear implicit differential algebraic equation (DAE) system.

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References

  1. Bachmann, R.; BrĂ¼ll, L.; Mrziglod, Th.; Pallaske, U.: A contribution to the numerical treatment of differential algebraic equations arising in chemical engineering, Dechema-Monographs, Vol. 116 (1989).

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  2. Gear, C. W.;Differential algebraic equations, indices, and integral algebraic equations, Report No. UIUCDCS-R-89–1505, Uni. Illinois (1989).

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  3. Gear, C.W.; Petzold, L.: ODE methods for the soluiton of differential/algebraic systems, SIAM J. Numer. Anal. 21 (1984).

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  4. Hairer, E.; Lubich, Ch.; Roche, M.: The numerical solution of diierential-algebraic systems by Runge-Kutta methods, Report, Uni. Geneve (1988).

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© 1991 B.G. Teubner Stuttgart and Kluwer Academic Publishers

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BrĂ¼ll, L., Pallaske, U. (1991). On Consistent Initialization of Differential-Algebraic Equations with Discontinuities. In: Wacker, H., Zulehner, W. (eds) Proceedings of the Fourth European Conference on Mathematics in Industry. European Consortium for Mathematics in Industry, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0703-4_21

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  • DOI: https://doi.org/10.1007/978-94-009-0703-4_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6802-4

  • Online ISBN: 978-94-009-0703-4

  • eBook Packages: Springer Book Archive

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