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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.
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CURTIS, A.R. The FACSIMILE numerical integrator for stiff initial value problems. In Computational Techniques for Ordinary Differential Equations, I. Gladwell and D. K. Sayers (Eds.), Academic Press, London, 1980, pp. 47-82.
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CURTIS, A.R. Solution of large, stiff initial value problems--The state of the art. In Numerical Software--Needs and Availability, D. Jacobs (Ed.), Academic Press, London, 1978, pp. 257-278.
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EDSBERG, L. Numerical methods for mass action ldnetics. In Numerical Methods for Differential Systems, L. Lapidns and W. E. Schiesser (Eds.), Academic Press, New York, 1976, pp. 181-195.
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ENRIGHT, W.H. Using a testing'package for the automatic assessment of numerical methods for O.D.E.'s. In Performance Evaluation of Numerical Software, L. D. Fosdick (Ed.), North-Holland, Amsterdam, 1979, pp. 199-213.
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ENRIGHT, W.H., AND HULL, T.E. Comparing numerical methods for the solution of stiff systems of ODEs arising in chemistry. In Numerical Methods for Differential Systems, L. Lapidus and W. E. Schiesser (Eds.), Academic Press, New York, 1976, pp. 45-66.
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ENRIGHT, W.H., HULL, T.E., ANY LINDBERG, B. Comparing numerical methods for stiff systems of O.D.E.'s. BIT 15 (1975), 10-48.
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GEAR, C.W. Initial value problems: Practical theoretical developments. Rep. UIUCDCS-R-79- 962, Dept. of Computer Science, Univ. Illinois, Urbana, 1979.
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GEAR, C.W. The automatic integration of stiff ordinary differential equations. In Proc. IFIP Congr. 1968, North-Holland, Amsterdam, 1969, pp. 187-193.
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HINDMARSH, A.C., AND BYRNE, G.D. Applications of EPISODE. In Numerical Methods for Differential Systems, L. Lapidns and W. E. Schiesser (Eds.), Academic Press, New York, 1976, pp. 147-166.
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HULL, T.E, ENRIGHT, W.H., FELLEN, B.M., AND SEDGWICK, A.E. Comparing numerical methods for ordinary differential equations. SIAM J. Numer. Anal. 9 (1972), 603-637.
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JENSEN, P.S. Stiffly stable methods for undamped second order equations of motion. SIAM J. Numer. Anal. 13 (1976), 549-563.
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PETZOLD, L. Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Rep. SAND80-8230, Sandia National Laboratories, Livermore, Calif., 1980.
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PETZOLD, L.R. An efficient numerical method for highly oscillatory ordinary differential equations. SIAM J. Numer. Anal. 18 (1981), 455-479.
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RATLIFF, K. A comparison of techniques for the numerical integration of ordinary differential equations. Rep. No. 274, Dept. Computer Science, Univ. Illinois, Urbana, 1968.
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ROBERTSON. H.H. The solution of a set of reaction rate equations. In Numerical Analysis, An Introduction, J. Walsh (Ed.), Academic Press, London, 1966, pp. 178-182.
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SHAMPINE L.F. Lipschitz constants and robust ODE codes. In Computational Methods in Nonlinear Mechanics, J. T. Oden (Ed.), North-Holland, Amsterdam, 1980, pp. 427-449.
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SHAMPINE L.F. Implementation of Rosenbrock methods. Rep. SAND80-2367, Sandia National Laboratories, Albuquerque, N. Mex., 1980.
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SHAMPINE, L.F., AND HIEBERT, K.L. Detecting stiffness with the Fehlberg (4,5) formulas. Comp. & Maths. with Applics. 3 (1977), 41-46.
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SHAMPINE L.F., WATTS, H.A., AND DAVENPORT, S.M. Solving nonstiff ordinary differential equations--The state of the art. SIAM Rev. 18 (1976), 376-411.
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VILLADSEN, J., AND MICHELSEN, M.L. Solution of Differential Equation Models by Polynomial Approximation. Prentice-Hall, Englewood Cliffs, N,J., 1978.
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WILLOUGHBY, R.A. (Ed.) Stiff Differential Systems. Plenum Press, New York, 1974.
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