A new symbolic-numeric approach to stability analysis of difference schemes

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A new symbolic-numeric approach to stability analysis of difference schemes

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

Berkeley, California, United States

Pages: 9 - 15

Year of Publication: 1992

ISBN:0-89791-489-9

Authors

V. G. Ganzha
E. V. Vorozhtsov
J. A. van Hulzen

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 10, Citation Count: 2

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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	Jameson A. Successes and challenges in computational aerodynamics.- In" AIAA 8th Computational Fluid Dynamics Conference, June 9-11, 1987/Honolulu, Hawaii. A Collection of Technical Papers. Published by the American Institute of Aeronautics and Astronautics, New York, 1987. - p. 1-35.
	2	Long L., Khan M. and Sharp H. A massively. parallel three dimensional Euler Navier-Stokes method, in: AIAA 9th Computational Fluid Dynamics Conference, June 13-15, 1989/Buffalo, N.Y. A Collection of Technical Papers. Published by AIAA, Washington, DC 20024, 1989- p. 89-102.
	3	Ganzha V.G., Vorozhtsov E.V. and Zenger Chr. Stabilitiitsuntersuchnng yon Differenzenverfahren rail Hilfe der Resultantenalgebra unter Verwendung des REDUCE-Systems, Teehnische Universit~t Miinehen, TUM-I91120, Munich, 1991.-p. 1- 23.
	4	S. I. Mazurik , E. V. Vorozhtsov, Symbolic—numerical computations in the stability analyses of difference schemes, Proceedings of the international symposium on Symbolic and algebraic computation, p.177-184, August 20-24, 1990, Tokyo, Japan [doi>10.1145/96877.96922]
	5	Richtmyer R.D. and Morton K.W. Difference Methods for Initial-Value Problems (2nd edn.). Wiley-Interscience, New York, 1967.
	6	A. Akritas, Elements of computer algebra with applications, John Wiley & Sons, Inc., New York, NY, 1989
	7	MacCormack R.W. The effect of viscosity in hypervelocity impact cratering, AIAA Paper, No. 354, 1969.
	8	Gantmacher F.R. Theory of Matrices(in Russian). Nauka, Moscow, 1966.
	9	MacCormack R.W. Numerical solution of the interaction of a shock wave with a laminar boundary layer, in: Proc. 2nd Int. Conf. on Numer. Methods in Fluid Dynamics, Ed. M. Holt. Lecture Notes in Physics 8, Springer-Verlag, New York, 1971.- p. 151-163.
	10	Pulliam T.H. and Steger J.L. implicit finitedifference simulations of the three-dimensional compressible flow, AIAA Journal, vol. 18, 1980.- p.159-167.
	11	Barbara L. Gates, A numerical code generation facility for REDUCE, Proceedings of the fifth ACM symposium on Symbolic and algebraic computation, p.94-99, July 21-23, 1986, Waterloo, Ontario, Canada [doi>10.1145/32439.32459]
	12	Froeberg, C.-E. Introduction to Numerical Analysis, Reading: Addison-Wesley Publ. Comp., 1966.- p.49-50.
	13	J. H. J. Molenkamp , V. V. Goldman , J. A. van Hulzen, An improved approach to automatic error cumulation control, Proceedings of the 1991 international symposium on Symbolic and algebraic computation, p.414-418, July 15-17, 1991, Bonn, West Germany [doi>10.1145/120694.120758]
	14	J. A. van Hulzen , B. J. Hulshof , B. L. Gates , M. C. van Heerwaarden, A code optimization package for REDUCE, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, p.163-170, July 17-19, 1989, Portland, Oregon, United States [doi>10.1145/74540.74561]

CITED BY 2

	V. G. Ganzha , E. V. Vorozhtsov , J. Boers , J. A. van Hulzen, Symbolic-numeric stability investigations of Jameson's schemes for the thin-layer Navier-Stokes equations, Proceedings of the international symposium on Symbolic and algebraic computation, p.234-241, July 20-22, 1994, Oxford, United Kingdom
	V. G. Ganzha , E. V. Vorozhtsov, A probabilistic symbolic-numerical method for the stability analyses of difference schemes for PDEs, Proceedings of the 1993 international symposium on Symbolic and algebraic computation, p.9-13, July 06-08, 1993, Kiev, Ukraine