A probabilistic symbolic-numerical method for the stability analyses of difference schemes for PDEs

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A probabilistic symbolic-numerical method for the stability analyses of difference schemes for PDEs

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents

Kiev, Ukraine

Pages: 9 - 13

Year of Publication: 1993

ISBN:0-89791-604-2

Authors

V. G. Ganzha
E. V. Vorozhtsov

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	R.D. Richtmyer and K.W. Morton, Difference Methods for Initial-Value Problems (2nd edn.). Wiley-Interseience, New York, 1967.
	2	A.A. Samarskii and A.V. Gulin, Stability of Difference Schemes (in Russian). Nauka, Moscow, 1973.
	3	V. G. Ganzha , R. Liska, Application of the reduce computer algebra system to stability analysis of difference schemes, Proceedings of the third conference on Computers and mathematics, p.119-129, May 1989, Boston, Massachusetts, United States
	4	V.G. Ganzha, E.V. Vorozhtsov and Chr. Zenger, Stabilith'tsunlersuchung yon Differenzenverfahren mit Hilfe der Resultantenalgebra unter Verwendung des RED UCE-System,Preprint , Teehnische Universit~t Miinchen, TUM-I9120, Munich, pp. 1-23, 1991.
	5	V. G. Ganzha , E. V. Vorozhtsov , J. A. van Hulzen, A new symbolic-numeric approach to stability analysis of difference schemes, Papers from the international symposium on Symbolic and algebraic computation, p.9-15, July 27-29, 1992, Berkeley, California, United States [doi>10.1145/143242.143254]
	6	Yu. N. Vatolin, Information criterion of stability. Chislennye Metody Mekhaniki Sploshnoi Sredy, Novosibirsk (in Russian), 1971, vol. 2, No.3 , p.22- 37.
	7	B.V. Gnedenko, A Course of the Probability Theory (in Russian). Fifth Edition, Nauka, Moscow, 1969.
	8	,C.E. Shannon, A mathematical theory of communication. Bell System Technical Journal, 1948, vol. 27, p. 379-423; 623-656.
	9	A.C. Hearn, REDUCE Users' Manual, Version 3.3. '/'he Rand Corporation, Santa Monica, 1987.
	10	P.J. Roache, Computational Fluid Dynamics. Hermosa, Albuquerque, New Mexico, 1976.
	11	R.W. MacCormack, The effect of viscosity in hypervelocily impact cralering, AIAA Paper, No. 69- 354, 1969.