caa a22 4500 378932578 CHVBK 20180305123633.0 cr unu---uuuuu 161128e20040601xx s 000 0 eng 10.1515/1569398041126474 doi (NATIONALLICENCE)gruyter-10.1515/1569398041126474 On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II [Elektronische Daten] [V. I. Lebedev, S. A. Finogenov] This paper deals with the construction of stable infinitely extendable Chebyshev iterative processes and explicit stable methods for solving stiff systems of differential equations. It is a continuation of [V. I. Lebedev and S. A. Finogenov, On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part 1. Russ. J. Numer. Anal. Math. Modelling (2002) 17, No. 5, 437-456.]. In the present paper the authors prove for the general case the estimates of values affecting stability, which are independent of the length of the iterative process. Copyright 2004, Walter de Gruyter Lebedev V. I. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow GSP-1, 119991,Russia aut Finogenov S. A. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow GSP-1, 119991,Russia aut Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/3(2004-06-01), 251-263 0927-6467 19:3<251 2004 19 rnam https://doi.org/10.1515/1569398041126474 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569398041126474 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lebedev V. I. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow GSP-1, 119991,Russia aut NATIONALLICENCE 700 1- Finogenov S. A. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow GSP-1, 119991,Russia aut NATIONALLICENCE 773 0- Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/3(2004-06-01), 251-263 0927-6467 19:3<251 2004 19 rnam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter