caa a22 4500 465821022 CHVBK 20180323112135.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF01932143 doi (NATIONALLICENCE)springer-10.1007/BF01932143 Schneid J. Institut für Angewandte und Numerische Mathematik, Technical University of Vienna, Wiedner Hauptstrasse 8-10, A-1040, Vienna, Austria aut A necessary condition for B -convergence of Runge-Kutta methods [Elektronische Daten] [J. Schneid] Algebraic stability is a well-known property necessary forB-convergence of a Runge-Kutta method, provided its nodesc i are such thatc i − c j ∉ ℤ wheneveri ≠ j. In this paper a slightly weaker property is established which becomes algebraic stability as soon asc i − c j ∈ ℤ, wheneveri ≠ j is excluded. Using this condition it is shown that the Lobatto IIIA methods with more than two stages cannot beB-convergent. BIT Foundations, 1990 AMS 65L05 nationallicence BIT Numerical Mathematics Kluwer Academic Publishers 30/1(1990-03-01), 166-170 0006-3835 30:1<166 1990 30 10543 https://doi.org/10.1007/BF01932143 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01932143 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schneid J. Institut für Angewandte und Numerische Mathematik, Technical University of Vienna, Wiedner Hauptstrasse 8-10, A-1040, Vienna, Austria aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Kluwer Academic Publishers 30/1(1990-03-01), 166-170 0006-3835 30:1<166 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer