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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 2020 MCQ for Mathematics of Computation is 1.78.

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Nonlinear stability of multistep multiderivative methods
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by Shou Fu Li and Baogen Ruan PDF
Math. Comp. 55 (1990), 581-589 Request permission

Abstract:

In this paper we examine nonlinear stability of multistep multiderivative methods for initial value problems of a class ${K_\varphi }$ in a Banach space. Stability criteria are established which extend results of R. Vanselow to this class of methods.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 55 (1990), 581-589
  • MSC: Primary 65L20; Secondary 65J15
  • DOI: https://doi.org/10.1090/S0025-5718-1990-1035938-X
  • MathSciNet review: 1035938