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.

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	2	Richard L. Burden , J. Douglas Faires, Numerical analysis: 4th ed, PWS Publishing Co., Boston, MA, 1988
	3	Y.F. Chang, A Variable-order (10-oo) Taylor Series Method for Solving ODE's with Integration Steps Almost Equal to the Radii of Convergence, poster presented at SlAM Workshop on Automatic Differentiation of Algorithms, January 1991.
	4	G.F. Corliss, Overloading Point and Interval Taylor Operators, in A. Griewank and G.F. Corliss (F_As.), Automatic Differentiation of Algorithms: Theory, Implementation, and Application, SIAM, Philadelphia, 1991.
	5	George Corliss , Y. F. Chang, Solving Ordinary Differential Equations Using Taylor Series, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.114-144, June 1982  [doi>10.1145/355993.355995]
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	7	Gershon Kedem, Automatic Differentiation of Computer Programs, ACM Transactions on Mathematical Software (TOMS), v.6 n.2, p.150-165, June 1980  [doi>10.1145/355887.355890]
	8	R.E. Moore, Interval Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1966.
	9	Ramon E. Moore , Fritz Bierbaum, Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.), Soc for Industrial & Applied Math, 1979
	10	R.D. Neidinger, Automatic Differentiation and APL, College Mathematics Journal, vol. 20, pp. 238-251, 1989.
	11	R. D. Neidinger, An APL approach to differential calculus yields a powerful tool, ACM SIGAPL APL Quote Quad, v.19 n.4, p.285-288, Aug. 1989
	12	L.B. Rail, Automatic Differentiation: Techniques and Applications, Lecture Notes i0 Computer Science vol. 120, Springer--Verlag, Berlin-Heidelberg-New York, 1981.
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	14	J. Waldvogel, Der Tayloralgorithmus, J. of Applied Math. and Physics (ZAMP), vol. 35, pp. 780-789, 1984.

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