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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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BIRKHOFF, G., AND ROTA, G.C Ordinary Differential Equations. Ginn, Boston, 1962.
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2
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COOPER, G.J. Error bounds for numerical solutions of ordinary differential equations. Numer. Math. 18 (1971), 162-170
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3
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DAHLQUIST, G. Stability and error bounds in the numerical integration of ordinary differential equations Trans Royal Inst Technol., No. 130, Stockholm, 1959.
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4
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DAVIS, H.T. Introductton to Nonhnear Dtfferentml and Integral Equations. Dover, New York, 1962.
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5
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ENRIGHT, W.H. Using a testing package for the automatic assessment of numerical methods for ODEs In Proc. IFIP T.C. 2.5 Working Conf Performance Evaluation of Numerical Software, L Fosdlck (Ed), North Holland, Amsterdam, 1979
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6
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GEAR, C W The automatic integration of stiff ordinary differential equations. In Proc. Informatron Processing 68, A. Morrell (Ed.), North Holland, Amsterdam, 1968, pp. 187-193.
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7
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HANSON, P.M., AND ENRIGHT, W.H. Controlling the defect in existing variable-order Adams codes for initial value problems. Dep. Computer Science Tech. Rep. 154/81, Univ. Toronto, Toronto, Ont., Canada, 1981.
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8
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9
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HINDMARSH, A.C LSODE and LSODI, Two new initial value ordinary differential equation solvers ACM SIGNUM Newslett, December issue, 1980
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10
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HULL, T E. The numerical integration of ordinary differential equations. In Proc. Information Processing 68, A. Morrell (Ed), North Holland, Amsterdam, 1968, pp. 134-144.
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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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12
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IMSL IMSL Ltbrary Reference Manual (8th ed ) IMSL, Houston, Tex., 1980.
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13
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JOHNSTON, R L., AND ADDISON, C. STUNT--Software for Teaching Undergraduates Numerical Techniques Dep. Computer Science Tech Rep 102. Univ. Toronto, Toronto, Ont., Canada, 1977.
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14
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NORDSIECK, A. On numerical integration of ordinary differential equations. Math. Comput. 16 (1962), 22-49.
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15
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SEDGWICK, A.E. An effective variable-order, variable-step Adams method. Dep. Computer Science Tech. Rep. 53, Unlv Toronto, Toronto, Ont., Canada, 1973.
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16
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SHAMPINE, L.F, AND GORDON, M.K. Computer Solutmn of Ordinary Differential Equations. Freeman, San Francisco, 1975
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SHAMPINE, L.F. Private communlction, 1980.
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18
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SHAMPINE, L.F., AND WATTS, H.A. DEPAC-Design of a user oriented package of ODE solvers Rep SAND79-2374, Sandia National Laboratorms, Albuquerque, N. Mex., 1980.
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STETTER, H.J Economical global error estimation. In St~ff Dtfferenttal Systems, R.A. Willoughby (Ed.), Plenum, New York, 1974, pp. 245-258.
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20
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STETTER, H J. Interpolation and error estimation in Adams PC-codes. SIAM J. Numer. Anal. 16 (1979), 311-322
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