We describe the construction of explicit Nordsieck methods with s stages of order p = s−1 and stage order q = p with inherent quadratic stability and quadratic stability with large regions of absolute stability. Stability regions of these methods compare favorably with stability regions of corresponding general linear methods of the same order with inherent Runge–Kutta stability.
Explicit Nordsieck methods with quadratic stability
CARDONE, Angelamaria
;
2012
Abstract
We describe the construction of explicit Nordsieck methods with s stages of order p = s−1 and stage order q = p with inherent quadratic stability and quadratic stability with large regions of absolute stability. Stability regions of these methods compare favorably with stability regions of corresponding general linear methods of the same order with inherent Runge–Kutta stability.File in questo prodotto:
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