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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On optimal shooting intervals
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by R. M. M. Mattheij and G. W. M. Staarink PDF
Math. Comp. 42 (1984), 25-40 Request permission

Abstract:

We develop an adaptive multiple shooting strategy, which is nearly optimal with respect to cpu time. Since the costs of integration are the most important components in this, we investigate in some detail how the gridpoints are chosen by an adaptive integration routine. We use this information to find out where the shooting points have to be selected. We also show that our final strategy is stable in the sense that rounding errors can be kept below a given tolerance. Finally we pay attention to the question how the need for memory can be minimized.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 42 (1984), 25-40
  • MSC: Primary 65L10
  • DOI: https://doi.org/10.1090/S0025-5718-1984-0725983-0
  • MathSciNet review: 725983