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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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Type-insensitive ODE codes based on implicit $A(\alpha )$-stable formulas
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by L. F. Shampine PDF
Math. Comp. 39 (1982), 109-123 Request permission

Abstract:

Previous work on A-stable formulas is extended to $A(\alpha )$-stable formulas, which are far more important in practice. Some important improvements in technique based on another interation method and an idea of Enright for the efficient handling of Jacobians are proposed. Implementation details and numerical examples are provided for a research-grade code.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 109-123
  • MSC: Primary 65L05
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0658216-2
  • MathSciNet review: 658216