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Algorithm 407: DIFSUB for solution of ordinary differential equations [D2]
Full text PdfPdf (485 KB)
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Communications of the ACM archive
Volume 14 ,  Issue 3  (March 1971) table of contents
Pages: 185 - 190  
Year of Publication: 1971
ISSN:0001-0782
Author
C. W. Gear  Univ. of Illinois, Urbana
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 10,   Downloads (12 Months): 103,   Citation Count: 15
Additional Information:

appendices and supplements   references   cited by   index terms   collaborative colleagues  

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DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/362566.362573
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APPENDICES and SUPPLEMENTS
gZipDIFSUB (407.gz) (6 KB)
ordinary differential equations


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
C. W. Gear, The automatic integration of ordinary differential equations, Communications of the ACM, v.14 n.3, p.176-179, March 1971  [doi>10.1145/362566.362571]
 
2
Forsythe, G. and Moler, C. Computer Solution of Linear Algebraic Systems. Prentice Hall, Englewood Cliffs, N. J., 1967.

CITED BY  15
Joel M. Tendler , Theodore A. Bickart , Zdenek Picel, A stiffly stable integration process using cyclic composite methods, ACM Transactions on Mathematical Software (TOMS), v.4 n.4, p.339-368, December 1978
W. H. Enright, Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations, ACM Transactions on Mathematical Software (TOMS), v.4 n.2, p.127-136, June 1978
Zahari Zlatev , Per Grove Thomsen, Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods, ACM Transactions on Mathematical Software (TOMS), v.5 n.4, p.401-414, Dec. 1979
C. W. Gear , R. Skeel, The development of ODE methods: a symbiosis between hardware and numerical analysis, Proceedings of the ACM conference on History of scientific and numeric computation, p.105-115, May 13-15, 1987, Princeton, New Jersey, United States
J. R. Cash , S. Considine, An MEBDF code for stiff initial value problems, ACM Transactions on Mathematical Software (TOMS), v.18 n.2, p.142-155, June 1992
Robert D. Skeel , Antony K. Kong, Blended Linear Multistep Methods, ACM Transactions on Mathematical Software (TOMS), v.3 n.4, p.326-345, Dec. 1977
G. D. Byrne , A. C. Hindmarsh, A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations, ACM Transactions on Mathematical Software (TOMS), v.1 n.1, p.71-96, March 1975
Paul J. Nikolai, Certification of algorithm 407 [D2], Communications of the ACM, v.16 n.7, p.448, July 1973
Gopal K. Gupta , Ron Sacks-Davis , Peter E. Tescher, A review of recent developments in solving ODEs, ACM Computing Surveys (CSUR), v.17 n.1, p.5-47, March 1985
R. Sacks-Davis, Fixed Leading Coefficient Implementation of SD-Formulas for Stiff ODEs, ACM Transactions on Mathematical Software (TOMS), v.6 n.4, p.540-562, Dec. 1980
C. W. Gear, Runge-Kutta Starters for Multistep Methods, ACM Transactions on Mathematical Software (TOMS), v.6 n.3, p.263-279, Sept. 1980
Lidia Aceto , Donato Trigiante, On the A-stable methods in the GBDF class, Nonlinear Analysis: Real World Applications, v.3 n.1, p.9-23, March 2002
I. N. Molchanov , M. F. Yakovlev, Algorithmic Foundations of Creation of an Intelligent Software Tool for Investigation and Solution of Cauchy Problems for Systems of Ordinary Differential Equations, Cybernetics and Systems Analysis, v.37 n.5, p.623-634, September-October 2001
D. A. Calahan , N. Orlandea, A program for the analysis and design of general dynamic mechanical systems, Proceedings of the December 5-7, 1972, fall joint computer conference, part II, December 05-07, 1972, Anaheim, California
G. Yu. Kulikov, On quasi-consistent integration by Nordsieck methods, Journal of Computational and Applied Mathematics, v.225 n.1, p.268-287, March, 2009

INDEX TERMS

Keywords:
differential equations, stiff differential equations

Collaborative Colleagues:
C. W. Gear: colleagues

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