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Controlling the defect in existing variable-order Adams codes for initial-value problems
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 9 ,  Issue 1  (March 1983) table of contents
Pages: 71 - 97  
Year of Publication: 1983
ISSN:0098-3500
Authors
P. M. Hanson  Department of Computer Science, University of Toronto, Toronto, Ont., Canada M5S 1A4
W. H. Enright  Department of Computer Science, University of Toronto, Toronto, Ont., Canada M5S 1A4
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.

 
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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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DAVIS, H.T. Introductton to Nonhnear Dtfferentml and Integral Equations. Dover, New York, 1962.
 
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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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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.
 
7
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.
 
8
 
9
HINDMARSH, A.C LSODE and LSODI, Two new initial value ordinary differential equation solvers ACM SIGNUM Newslett, December issue, 1980
 
10
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.
 
11
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
 
12
IMSL IMSL Ltbrary Reference Manual (8th ed ) IMSL, Houston, Tex., 1980.
 
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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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NORDSIECK, A. On numerical integration of ordinary differential equations. Math. Comput. 16 (1962), 22-49.
 
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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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SHAMPINE, L.F, AND GORDON, M.K. Computer Solutmn of Ordinary Differential Equations. Freeman, San Francisco, 1975
 
17
SHAMPINE, L.F. Private communlction, 1980.
 
18
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.
 
19
STETTER, H.J Economical global error estimation. In St~ff Dtfferenttal Systems, R.A. Willoughby (Ed.), Plenum, New York, 1974, pp. 245-258.
 
20
STETTER, H J. Interpolation and error estimation in Adams PC-codes. SIAM J. Numer. Anal. 16 (1979), 311-322


Collaborative Colleagues:
P. M. Hanson: colleagues
W. H. Enright: colleagues