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Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems

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Published in SIAM Journal on Scientific Computing. 2011, vol. 33, no. 4, p. 1707-1725
Abstract 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.
Keywords Numerical integration of differential equationsRunge–Kutta–Chebyshev methodsStabilized second-order integration methodPartitioned Runge–Kutta methods
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ZBINDEN, Christophe. Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems. In: SIAM Journal on Scientific Computing, 2011, vol. 33, n° 4, p. 1707-1725. https://archive-ouverte.unige.ch/unige:17070

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Deposited on : 2011-09-30

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