TY - JOUR
T1 - Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations
AU - Bartoszewski, Z.
AU - Jackiewicz, Zdzislaw
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/10/15
Y1 - 2008/10/15
N2 - It is shown that any A-stable two-step Runge-Kutta method of order over(p, ̃) and stage order q = over(p, ̃) for ordinary differential equations can be extended to the P-stable method of uniform order p = over(p, ̃) for delay differential equations.
AB - It is shown that any A-stable two-step Runge-Kutta method of order over(p, ̃) and stage order q = over(p, ̃) for ordinary differential equations can be extended to the P-stable method of uniform order p = over(p, ̃) for delay differential equations.
KW - A-stability
KW - Delay differential equations
KW - P-stability
KW - Two-step Runge-Kutta methods
KW - Uniform convergence
UR - http://www.scopus.com/inward/record.url?scp=47849105725&partnerID=8YFLogxK
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U2 - 10.1016/j.cam.2007.08.007
DO - 10.1016/j.cam.2007.08.007
M3 - Article
AN - SCOPUS:47849105725
VL - 220
SP - 257
EP - 270
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1-2
ER -