Article

Free access

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

Authors:

V. G. Ganzha,

E. V. Vorozhtsov,

J. A. van HulzenAuthors Info & Claims

ISSAC '92: Papers from the international symposium on Symbolic and algebraic computation

Pages 9 - 15

https://doi.org/10.1145/143242.143254

Published: 01 August 1992 Publication History

PDF eReader

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.

Google Scholar

[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.

Google Scholar

[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.

Google Scholar

[4]

M~z.urik S.I. and Vorozhtsov E.V. Symbolicnumerical computations in the stability analyses of difference schemes. In: Proe. ISSAC'90, Eds. S. Watanabe and M. Nagata, Addison-Wesley, Reading, 1990.- p. 177-184.

Digital Library

Google Scholar

[5]

Richtmyer R.D. and Morton K.W. Difference Methods for Initial-Value Problems (2nd edn.). Wiley-Interscience, New York, 1967.

Google Scholar

[6]

Akritaz A.G. Elements of Computer Algebra with Applications. Wiley Interscience, New York, 1989.

Digital Library

Google Scholar

[7]

MacCormack R.W. The effect of viscosity in hypervelocity impact cratering, AIAA Paper, No. 354, 1969.

Google Scholar

[8]

Gantmacher F.R. Theory of Matrices(in Russian). Nauka, Moscow, 1966.

Google Scholar

[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.

Google Scholar

[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.

Crossref

Google Scholar

[11]

Gates B.L. A numerical code generation facility for RED UCE, Proceedings SYMSAC '86, Ed B.W. Char, New York: ACM-Press, pp. 94-99, 1986.

Digital Library

Google Scholar

[12]

Froeberg, C.-E. Introduction to Numerical Analysis, Reading: Addison-Wesley Publ. Comp., 1966.- p.49-50.

Google Scholar

[13]

Molenkamp, J.H.J., Goldman, V.V. and van Hulzen J.A. An improved approach to automatic error cumulation control. In: Proceedings ISSAC '91 (S.M. Watt, ed.), New York: ACM-Press, 1991.-p.414-418.

Digital Library

Google Scholar

[14]

van Hulzen J.A., Hulshof B.J.A., Gates B.L. and van Heerwaarden M.C. A code optimization package for REDUCE. In: Proceedings ISSAC '89 (G.H. Gonnet, ed.), New York: ACM-Press, 1989. p.163-170.

Digital Library

Google Scholar

Cited By

View all

Ganzha VVorozhtsov EBoers Jvan Hulzen JMacCallum M(1994)Symbolic-numeric stability investigations of Jameson's schemes for the thin-layer Navier-Stokes equationsProceedings of the international symposium on Symbolic and algebraic computation10.1145/190347.190422(234-241)Online publication date: 1-Aug-1994
https://dl.acm.org/doi/10.1145/190347.190422
Ganzha VVorozhtsov E(1993)A probabilistic symbolic-numerical method for the stability analyses of difference schemes for PDEsProceedings of the 1993 international symposium on Symbolic and algebraic computation10.1145/164081.164084(9-13)Online publication date: 1-Aug-1993
https://dl.acm.org/doi/10.1145/164081.164084

Index Terms

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

Recommendations

A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems

This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has ...
A new approach to exponential stability analysis of neural networks with time-varying delays

This paper considers the problem of exponential stability analysis of neural networks with time-varying delays. The activation functions are assumed to be globally Lipschitz continuous. A linear matrix inequality (LMI) approach is developed to derive ...
Tractable Razumikhin-type conditions for input-to-state stability analysis of delay difference inclusions

For the stability analysis of time-delay systems, the Razumikhin approach provides (at the cost of some conservatism) a set of conditions that are relatively easy to verify when compared to the Krasovskii approach. Unfortunately, currently, for linear ...

Comments

Information & Contributors

Information

Published In

ISSAC '92: Papers from the international symposium on Symbolic and algebraic computation

August 1992

406 pages

ISBN:0897914899

DOI:10.1145/143242

Editor:
Paul S. Wang
Kent State Univ., Kent, OH

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 August 1992

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Qualifiers

Article

Conference

ISSAC92

Sponsor:

ISSAC92: International Symposium on Symbolic Algebraic Computation

July 27 - 29, 1992

California, Berkeley, USA

Acceptance Rates

Overall Acceptance Rate 395 of 838 submissions, 47%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

2
Total Citations
View Citations
393
Total Downloads

Downloads (Last 12 months)29
Downloads (Last 6 weeks)2

Reflects downloads up to 09 Nov 2024

Other Metrics

View Author Metrics

Citations

Cited By

View all

Ganzha VVorozhtsov EBoers Jvan Hulzen JMacCallum M(1994)Symbolic-numeric stability investigations of Jameson's schemes for the thin-layer Navier-Stokes equationsProceedings of the international symposium on Symbolic and algebraic computation10.1145/190347.190422(234-241)Online publication date: 1-Aug-1994
https://dl.acm.org/doi/10.1145/190347.190422
Ganzha VVorozhtsov E(1993)A probabilistic symbolic-numerical method for the stability analyses of difference schemes for PDEsProceedings of the 1993 international symposium on Symbolic and algebraic computation10.1145/164081.164084(9-13)Online publication date: 1-Aug-1993
https://dl.acm.org/doi/10.1145/164081.164084

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Cited By

Index Terms

Recommendations

A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems

A new approach to exponential stability analysis of neural networks with time-varying delays

Tractable Razumikhin-type conditions for input-to-state stability analysis of delay difference inclusions