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

Authors:	Z Bartoszewski Z Jackiewicz

Institution:	^aFaculty of Applied Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland;^bDepartment of Mathematics, Arizona State University, Tempe, Arizona 85287, USA

Abstract:	It is shown that any A-stable two-step Runge–Kutta method of order and stage order for ordinary differential equations can be extended to the P-stable method of uniform order for delay differential equations.

Keywords:	Two-step Runge– Kutta methods Delay differential equations A-stability P-stability Uniform convergence
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