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Author Kohfeld, J. J. ♦ Thompson, G. T.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1968
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract In 1962, Nordsieck presented a series of numerical methods for solving ordinary differential equations which rely on Taylor's series, but which are equivalent to the correctors in the Adams methods. In a method of Nordsieck, simplifications, such as in the often desirable process of changing step size, are made, since it is unnecessary to store more than one previous step. In 1964, Gragg and Stetter published a series of numerical methods for solving ordinary differential equations which rely on very accurate correctors, using a “nonstep” point within the interval of integration. The method in the present paper is equivalent, for uniform step size, to one of these very accurate correctors but is in the form of Nordsieck. The strengths and weaknesses of the method are discussed.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1968-07-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 15
Issue Number 3
Page Count 12
Starting Page 390
Ending Page 401


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Source: ACM Digital Library