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Mathematics of Computation

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A convergence criterion for a class of integration methods


Author: J. C. Butcher
Journal: Math. Comp. 26 (1972), 107-117
MSC: Primary 65L99
DOI: https://doi.org/10.1090/S0025-5718-1972-0305609-2
MathSciNet review: 0305609
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Abstract: A criterion is established for the convergence of sequences of a general type of Runge-Kutta method. The criterion is expressed in terms of ``weak convergence", a property defined in the paper.


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DOI: https://doi.org/10.1090/S0025-5718-1972-0305609-2
Keywords: Runge-Kutta methods, initial value problems, convergence
Article copyright: © Copyright 1972 American Mathematical Society