Multirate generalized additive Runge Kutta methods
作者： Michael Günther , Adrian Sandu
DOI: 10.1007/S00211-015-0756-Z
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摘要: This work constructs a new class of multirate schemes based on the recently developed generalized additive Runge---Kutta (GARK) methods (Sandu and Gunther, SIAM J Numer Anal, 53(1):17---42, 2015). Multirate use different step sizes for components partitions right-hand side local activity levels. We show that GARK family includes many well-known as special cases. The order conditions theory follows directly from accuracy theory. Nonlinear stability monotonicity investigations these properties are inherited base provided additional coupling hold.
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