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Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems
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Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems
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Journal Article
Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems
2011
Overview
An integration method based on Runge-Kutta-Chebyshev (RKC) methods is discussed which has been designed to treat moderately stiff and nonstiff terms separately. The method, called partitioned Runge-Kutta-Chebyshev (PRKC), is a one-step, partitioned RK method of second order. It belongs to the class of stabilized methods, namely explicit RK methods possessing extended real stability intervals. The aim of the PRKC method is to reduce the number of function evaluations of the nonstiff terms and to get a nonzero imaginary stability boundary.
Publisher
Society for Industrial and Applied Mathematics
