Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations

Authors:
Z. Bartoszewski;Z. Jackiewicz
Affiliations:
Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland;Department of Mathematics, Arizona State University, Tempe, Arizona 85287, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

It is shown that any A-stable two-step Runge-Kutta method of order p@? and stage order q=p@? for ordinary differential equations can be extended to the P-stable method of uniform order p=p@? for delay differential equations.