Stability analysis of difference schemes by the catastrophe theory methods and by means of computer algebra
Pages 427 - 428
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References
[1]
Scobelev B.Yu. and Vorozhtsov E.V. Application of catastrophe theory methods to the stability analysis of difference schemes.-In: The Second :Iapan - Soviet Union Joint Symposium on Computational Fluid Dynamics, Tsukuba, August 27-31, 1990. Preprints. Published by Japan Society of Computational Fluid Dynamics. Tsukuba: The Univ. of Tsukuba, 1990.-p.53-60.
[2]
Poston T., Stewart I. Catastrophe Theory and Its Applications. London, San Francisco, Melbourne: Pitman, 1978.
[3]
GanzhaV.G. and Liska R. Application of the REDUCE computer algebra system to stability analysis of difference schemes. In: Computers and Mathematics/Eds.E.Kaltofen and S.M.Watt.- New York, Berlin, Heidelberg, London, Paris, Tokyo:Springer-Verlag, 1989.- p.119-129.
[4]
Hearn A.C. REDUCE User's Manual, Version 3.3. Technical Report CP 78 (Rev.7/87), The RAND Corporation, Santa Monica, 1987.
[5]
Karamyshev V.B., Kovenya V.M., Pinchukov V.I. Quasimonotonous schemes for solving the aerodyrta m. ics problems. In: Soviet Union-Japan Sympos.on Computational Fluid Dynamics, Khabarovsk, 9-16 Sept. 1988. Proceedings, Vol.1/Eds.P.I.Chushkin, V.P.Korobeinikov.- Moscow: Computing Centre of the USSR Acad.Sci., 1989.- p.52-58.
[6]
MacCormack R.W. Numerical solution of the interaction of a shock wave with a laminar boundary layer. In: Proc. Second Int. Conf. Numer. Methods in Fluid Dynamics/Ed. M. Holt.- Lecture Notes in Physics, vol. 8. New York: Springer-Verlag, 1971. - p.151-163.
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- Stability analysis of difference schemes by the catastrophe theory methods and by means of computer algebra
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Published: 01 June 1991
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ISSAC 91: International Symposium on Symbolic Algebraic Computation
July 15 - 17, 1991
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