TY - JOUR
T1 - Construction of two-step Runge-Kutta methods with large regions of absolute stability
AU - Chollom, J.
AU - Jackiewicz, Zdzislaw
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003/8/1
Y1 - 2003/8/1
N2 - We describe the construction of explicit two-step Runge-Kutta methods of order p and stage order q=p-1 or q=p with large regions of absolute stability. This process is illustrated for the methods of order p=2, and 3 and leads to new methods which are competitive with explicit Runge-Kutta methods of the same order.
AB - We describe the construction of explicit two-step Runge-Kutta methods of order p and stage order q=p-1 or q=p with large regions of absolute stability. This process is illustrated for the methods of order p=2, and 3 and leads to new methods which are competitive with explicit Runge-Kutta methods of the same order.
KW - Implementation aspects
KW - Minimization
KW - Region of absolute stability
KW - Two-step Runge-Kutta methods
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U2 - 10.1016/S0377-0427(03)00382-0
DO - 10.1016/S0377-0427(03)00382-0
M3 - Article
AN - SCOPUS:0042121057
VL - 157
SP - 125
EP - 137
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1
ER -