TY - JOUR
T1 - Explicit Nordsieck methods with quadratic stability
AU - Cardone, Angelamaria
AU - Jackiewicz, Zdzislaw
N1 - Funding Information:
The work of Z. Jackiewicz was partially supported by the National Science Foundation under grant NSF DMS–0509597.
PY - 2012/5
Y1 - 2012/5
N2 - 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.
AB - 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.
KW - General linear methods
KW - Inherent quadratic stability
KW - Nordsieck representation
KW - Order conditions
KW - Quadratic stability
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U2 - 10.1007/s11075-011-9509-y
DO - 10.1007/s11075-011-9509-y
M3 - Article
AN - SCOPUS:84859266051
SN - 1017-1398
VL - 60
SP - 1
EP - 25
JO - Numerical Algorithms
JF - Numerical Algorithms
IS - 1
ER -