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Algorithm 504: GERK: Global Error Estimation For Ordinary Differential Equations [D]
Full text PdfPdf (229 KB)
Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 2 ,  Issue 2  (June 1976) table of contents
Pages: 200 - 203  
Year of Publication: 1976
ISSN:0098-3500
Authors
L. F. Shampine  Division 2642, Sandia Laboratories, Albuquerque, NM
H. A. Watts  Division 2642, Sandia Laboratories, Albuquerque, NM
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 30,   Citation Count: 3
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/10.1145/355681.355690
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APPENDICES and SUPPLEMENTS
gZipGERK (504.gz) (7 KB)
nonlinear systems of ordinary differential equations with global error estimate Integration is performed on different meshes and global extrapolation is used to estimate the global error in the more accurate solution. The integration is done using Runge-Kutta-Fehlberg methods of 4th and 5th order
Gams: I1a1a


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
L. F. Shampine , H. A. Watts, Global Error Estimates for Ordinary Differential Equations, ACM Transactions on Mathematical Software (TOMS), v.2 n.2, p.172-186, June 1976  [doi>10.1145/355681.355687]

CITED BY  3
Paul B. Bailey , Anton Zettl, Eigenvalue and eigenfunction computations for Sturm-Liouville problems, ACM Transactions on Mathematical Software (TOMS), v.17 n.4, p.491-499, Dec. 1991
Paul B. Bailey , Anton Zettl, ALGORITHM 700: a Fortran software package for Sturm—Liouville problems, ACM Transactions on Mathematical Software (TOMS), v.17 n.4, p.500-501, Dec. 1991
L. F. Shampine, Error Estimation and Control for ODEs, Journal of Scientific Computing, v.25 n.1, p.3-16, October 2005

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS


General Terms:
Algorithms, Performance, Reliability, Theory

Collaborative Colleagues:
L. F. Shampine: colleagues
H. A. Watts: colleagues

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