TY - JOUR
T1 - Optimization-Based Search for Nordsieck Methods of High Order with Quadratic Stability Polynomials
AU - Cardone, Angelamaria
AU - Jackiewicz, Zdzislaw
AU - Mittelmann, Hans
N1 - Funding Information:
∗ The work of the second author was partially supported by the National Science Foundation under grant NSF DMS-0509597.
PY - 2012/6
Y1 - 2012/6
N2 - We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given for order p = 5, p = 6, and p = 7.
AB - We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given for order p = 5, p = 6, and p = 7.
KW - Nordsieck methods
KW - general linear methods
KW - least-squares minimization
KW - quadratic stability
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U2 - 10.3846/13926292.2012.685497
DO - 10.3846/13926292.2012.685497
M3 - Article
AN - SCOPUS:84865299957
SN - 1392-6292
VL - 17
SP - 293
EP - 308
JO - Mathematical Modelling and Analysis
JF - Mathematical Modelling and Analysis
IS - 3
ER -