TY - JOUR
T1 - A Practical Approach for the Derivation of Algebraically Stable Two-Step Runge-Kutta Methods
AU - Conte, Dajana
AU - D'Ambrosio, Raffaele
AU - Jackiewicz, Zdzislaw
AU - Paternoster, Beatrice
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2012/2
Y1 - 2012/2
N2 - We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.
AB - We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.
KW - G-stability
KW - algebraic stability
KW - general linear methods
KW - ordinary differential equations
KW - two-step Runge-Kutta methods
UR - http://www.scopus.com/inward/record.url?scp=84865291286&partnerID=8YFLogxK
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U2 - 10.3846/13926292.2012.644870
DO - 10.3846/13926292.2012.644870
M3 - Article
AN - SCOPUS:84865291286
SN - 1392-6292
VL - 17
SP - 65
EP - 77
JO - Mathematical Modelling and Analysis
JF - Mathematical Modelling and Analysis
IS - 1
ER -