A combined symbolic/numeric approach for the integration of stiff nonlinear systems of ODE's

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A combined symbolic/numeric approach for the integration of stiff nonlinear systems of ODE's

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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: 80 - 88

Year of Publication: 1992

ISBN:0-89791-489-9

Author

Mark F. Russo

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

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Downloads (6 Weeks): 5, Downloads (12 Months): 12, Citation Count: 0

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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	George D. Byre , Alan C. Hindmarsh, Stiff ode slovers: a review of current and coming attractions, Journal of Computational Physics, v.70 n.1, p.1-62, May 1, 1987 [doi>10.1016/0021-9991(87)90001-5]
	2	Flaherty, J.E. and O'Malley, R.E. "Numerical Methods for Stiff Systems of Two-Point Boundary Value Problems". SIAM J. Sci. Stat. Comp., Vol. 5, No. 4, 1984.
	3	Mark F. Russo , Richard L. Peskin, Automatically identifying the asymptotic behavior of nonlinear singularly perturbed boundary value problems, Journal of Automated Reasoning, v.8 n.3, p.395-419, June 1992 [doi>10.1007/BF02341856]
	4	O'Donnell, M.A. "Boundary and Interior Layer Behavior in Singularly Perturbed Nonlinear Systems". Doctoral Dissertation, U.C. Davis, 1982.
	5	O'Donnell, M.A. "Boundary and Corner Layer Behavior in Singularly Perturbed Semilinear Systems of Boundary Value Problems". SIAM Y. of Math. Anal., Vol. 15, pp. 317-332, 1984.
	6	Chang, K.W. and Howes F. A. Nonlinear Singular Perturbation Phenomena: Theory and Applications. Springer-Verlag, new York, 1984.
	7	N. J. Nilsson, Principles of artificial intelligence, Morgan Kaufmann Publishers Inc., San Francisco, CA, 1980
	8	William H. Press , Brian P. Flannery , Saul A. Teukolsky , William T. Vetterling, Numerical recipes: the art of scientific computing, Cambridge University Press, New York, NY, 1986