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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Difference methods for problems with different time scales
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by Robert E. Scheid PDF
Math. Comp. 44 (1985), 81-92 Request permission

Abstract:

We consider the use of difference methods for weakly nonlinear systems of ordinary differential equations with rapidly oscillating solutions and develop a general approach which depends only on the smoothness of the coefficients and the nonlinearities. In particular, one is led to a strategy which is suitable for the detection and resolution of turning points in such systems. A computational example is presented.
References
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Math. Comp. 44 (1985), 81-92
  • MSC: Primary 65L05; Secondary 34E20
  • DOI: https://doi.org/10.1090/S0025-5718-1985-0771032-9
  • MathSciNet review: 771032