caa a22 4500 465751253 CHVBK 20180323111834.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF02247965 doi (NATIONALLICENCE)springer-10.1007/BF02247965 Ostermann Alexander Section de mathématiques, Université de Genève, Case postale 240, CH-1211, Geneve 24, Switzerland aut Continuous extensions of Rosenbrock-type methods [Elektronische Daten] [Alexander Ostermann] Stetige Fortsetzungen von Rosenbrock-Verfahren Solving an initial value problem by a Rosenbrock method produces, in general, the numerical solution at (in advance unknown) gridpoints. Applications requiring frequent output (as graphics, delay differential equations, problems with driving equations) normally restrict the stepsize control of these codes and increase the computational overhead considerably. In this paper we introduce a class of continuous extensions for Rosenbrock-type methods. These extensions furnish a continuous numerical solution without affecting the efficiency of the codes. Springer-Verlag, 1990 Dense output nationallicence initial value problems nationallicence interpolants nationallicence rosenbrock methods nationallicence Computing Springer-Verlag 44/1(1990-03-01), 59-68 0010-485X 44:1<59 1990 44 607 https://doi.org/10.1007/BF02247965 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02247965 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ostermann Alexander Section de mathématiques, Université de Genève, Case postale 240, CH-1211, Geneve 24, Switzerland aut NATIONALLICENCE 773 0- Computing Springer-Verlag 44/1(1990-03-01), 59-68 0010-485X 44:1<59 1990 44 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 209598301 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer