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most citedA Krylov subspace algorithm for evaluating the phi-functions appearing in exponential integrators

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math.NA2001★ 1 cited

A Priori Estimates for the Global Error Committed by Runge-Kutta Methods for a Nonlinear Oscillator

Jitse Niesen

The Alekseev-Gr{ö}bner lemma is combined with the theory of modified equations to obtain an \emph{a priori} estimate for the global error of numerical integrators. This estimate is…