most citedConvergence and stability of randomized implicit two-stage Runge-Kutta schemes

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math.NA2024★ 2 cited

Convergence and stability of randomized implicit two-stage Runge-Kutta schemes

Tomasz Bochacik, Paweł Przybyłowicz

We randomize the implicit two-stage Runge-Kutta scheme in order to improve the rate of convergence (with respect to a deterministic scheme) and stability of the approximate solutio…

math.NA2024★ 1 cited

A Randomized Runge-Kutta Method for time-irregular delay differential equations

Fabio V. Difonzo, Paweł Przybyłowicz, Yue Wu +1

In this paper we investigate the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with the right-hand side functions that ar…