In this work, we introduce the class of self starting general linear methods that are multi-stage multi-step methods, which do not require any additional starting and finishing procedures. We provide sufficient conditions to derive methods with Runge-Kutta stability and show how some properties of diagonally implicit Runge-Kutta methods can be improved, keeping similar computational costs.
SELF STARTING GENERAL LINEAR METHODS WITH RUNGE–KUTTA STABILITY / Izzo, G.; Jackiewicz, Z.. - In: JOURNAL OF COMPUTATIONAL DYNAMICS. - ISSN 2158-2505. - 12:1(2025), pp. 1-22. [10.3934/jcd.2024023]
SELF STARTING GENERAL LINEAR METHODS WITH RUNGE–KUTTA STABILITY
Izzo G.
;
2025
Abstract
In this work, we introduce the class of self starting general linear methods that are multi-stage multi-step methods, which do not require any additional starting and finishing procedures. We provide sufficient conditions to derive methods with Runge-Kutta stability and show how some properties of diagonally implicit Runge-Kutta methods can be improved, keeping similar computational costs.File in questo prodotto:
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