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Stability of a Generalized Corrector Formula
Full text PdfPdf (747 KB)
Source Journal of the ACM (JACM) archive
Volume 9 ,  Issue 1  (January 1962) table of contents
Pages: 104 - 117  
Year of Publication: 1962
ISSN:0004-5411
Authors
Roger L. Crane  Iowa State University, Ames, Iowa
Robert J. Lambert  Iowa State University, Ames, Iowa
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 2,   Downloads (12 Months): 19,   Citation Count: 4
Additional Information:

references   cited by   index terms   collaborative colleagues  

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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.

1
R. W. Hamming, Stable Predictor-Corrector Methods for Ordinary Differential Equations, Journal of the ACM (JACM), v.6 n.1, p.37-47, Jan. 1959  [doi>10.1145/320954.320958]
 
2
MARDEN, M. The geometry of the zeros. American Mathematical Society. 1956.
3
W. E. Milne , R. R. Reynolds, Stability of a Numerical Solution of Differential Equations, Journal of the ACM (JACM), v.6 n.2, p.196-203, April 1959  [doi>10.1145/320964.320976]

CITED BY  4
P. E. Chase, Stability Properties of Predictor-Corrector Methods for Ordinary Differential Equations, Journal of the ACM (JACM), v.9 n.4, p.457-468, Oct. 1962
R. L. Crane , R. W. Klopfenstein, A Predictor-Corrector Algorithm with an Increased Range of Absolute Stability, Journal of the ACM (JACM), v.12 n.2, p.227-241, April 1965
George Emanuel, The Wilf Stability Criterion for Numerical Integration, Journal of the ACM (JACM), v.10 n.4, p.557-561, Oct. 1963
Abbas I. Abdel Karim, A Theorem for the Stability of General Predictor-Corrector Methods for the Solution of Systems of Differential Equations, Journal of the ACM (JACM), v.15 n.4, p.706-711, Oct. 1968

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.7 Ordinary Differential Equations
          Subjects: Convergence and stability

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.2 Approximation
          Subjects: Spline and piecewise polynomial approximation


General Terms:
Measurement, Performance, Reliability, Theory

Collaborative Colleagues:
Roger L. Crane: colleagues
Robert J. Lambert: colleagues

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