A convergence criterion for a class of integration methods

Butcher, J. C.

doi:10.1090/S0025-5718-1972-0305609-2

A convergence criterion for a class of integration methods
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Math. Comp. 26 (1972), 107-117 Request permission

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.

References

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J. C. Butcher, An algebraic theory of integration methods, Math. Comp. 26 (1972), 79–106. MR 305608, DOI 10.1090/S0025-5718-1972-0305608-0