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On theA 0-acceptability of rational approximations to the exponential function with only real poles
Authors:Laurence A. Bales  Ohannes A. Karakashian  Steven M. Serbin
Affiliation:(1) Department of Mathematics, The University of Tennessee, 37996-1300 Knoxville, Tennessee, USA
Abstract:We consider rational approximations to the exponential function with real poles, gamma1–1,...,gammam–1, that correspond to implicit Runge-Kutta collocation methods. We show that if gammaige1/2,i=1,...,m, the rational approximation isA0-acceptable.
Keywords:65L07
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