Reimer, M. All symmetric interpolatory block-implicit methods of order less than six are A-stable. (English) Zbl 0561.65053 BIT 25, 297-298 (1985). A theorem of Grace-Szegö is applied to show the A-stability of all symmetric interpolatory block-implicit methods involving five or less vectors per block. Reviewer: J.M.Sanz-Serna MSC: 65L05 Numerical methods for initial value problems involving ordinary differential equations 65L20 Stability and convergence of numerical methods for ordinary differential equations Keywords:block-implicit methods; A-stability PDFBibTeX XMLCite \textit{M. Reimer}, BIT 25, 297--298 (1985; Zbl 0561.65053) Full Text: DOI References: [1] S. P. Nørsett and G. Wanner,The real-pole sandwich for rational approximations and oscillation equations. BIT 19 (1979), 79–94. · Zbl 0413.65011 · doi:10.1007/BF01931224 [2] N. Obreschkoff,Verteilung und Berechnung der Nullstellen reeller Polynome. DVW Berlin 1963. · Zbl 0156.28202 [3] G. Wanner,Characterization of all A-stable methods of order 2m - 4. BIT 20 (1980), 367–374. · Zbl 0475.65043 · doi:10.1007/BF01932779 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.