Sufficiency analysis for the calculus of variations

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Sufficiency analysis for the calculus of variations

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

Oxford, United Kingdom

Pages: 197 - 204

Year of Publication: 1994

ISBN:0-89791-638-7

Author

Robert M. Corless

Univ. of Western Ontario, London, Canada

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	Gilbert Ames Bliss, Calculus of Variations, Carus Mathematical Monographs, MAA, 1925.
	2	F. H. Clarke, Lecture Notes in the Calculus of Variations and Optimal Control, course notes for Math 426, University of British Columbia, 1979.
	3	G. E. Collins , J. R. Johnson, Quantifier elimination and the sign variation method for real root isolation, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, p.264-271, July 17-19, 1989, Portland, Oregon, United States [doi>10.1145/74540.74574]
	4	Robert M. Corless, Essential Maple, Springer-Verlag, to appear 1994.
	5	Robert M. Corless, "Bifurcation in a flow-induced vibration model", to appear in Proc. Fields Institute Workshop on Normal Forms and Homoclinic Chaos, W. Nagata and W. F. Langford, eds.
	6	Robert M. Corless, Defect-controlled numerical methods and shadowing for chaotic differential equations, Physica D, v.60 n.1-4, p.323-334, Nov. 1, 1992
	7	Walter Gander , Jiří Hřebíček, Solving problems in scientific computing using MAPLE and MATLAB, Springer-Verlag New York, Inc., New York, NY, 1993
	8	G. H. Hardy, A course in Pure Mathematics, Cambridge, 1952.
	9	W. Hrusa and 3. L. Troutman, "Elementary characterization of classical minima", Amer. Math. Monthly, 88, no. 5, 1981, pp. 321-327.
	10	Sir Harold Jeffreys and Bertha Swirles (Lady 3effreys), Methods of Mathematical Physics, 3rd ed., Cambrige, 1956.
	11	S. Rabinowitz, On the computer solution of symmetric homogeneous triangle inequalities, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, p.272-286, July 17-19, 1989, Portland, Oregon, United States [doi>10.1145/74540.74573]
	12	David R. Stoutemyer, "Computer Algebra for the Calculus of Variations, the Maximum Principle, and Automatic Control", Int. J. Computer and Information Sciences, 8, no. 5, 1979, pp. 419-434.
	13	David R. Stoutemyer, Analytical Optimization Using Computer Algebraic Manipulation, ACM Transactions on Mathematical Software (TOMS), v.1 n.2, p.147-164, June 1975 [doi>10.1145/355637.355641]
	14	Robert Weinstock, Cadculus of Variations, Dover, 1974.
	15	Yanan Wu and Robert M. Corless, "Doing Calculus of Variations Symbolically", poster at ISSAC '92, Berkeley.
	16	L. C. Young, Lectures on the Cedculus of Variations and Optimai Control, Saunders, Philadelphia, 1969.