caa a22 4500 465751717 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02238800 doi (NATIONALLICENCE)springer-10.1007/BF02238800 A scheme for the implementation of implicit Runge-Kutta methods [Elektronische Daten] [G. Cooper, R. Vignesvaran] Eine Methodik zur Implementierung von impliziten Runge-Kutta-Verfahren The computational work required to implement implicit Runge-Kutta methods is often dominated by the cost of solving large sets of nonlinear equations. As an alternative to modified Newton methods, iteration schemes, which sacrifice superlinear convergence for reduced linear algebra costs, have been proposed. A new scheme of this type is considered here. This scheme avoids expensive vector transformations, is computationally more efficient, and gives improved performance. Springer-Verlag, 1990 Implementation nationallicence Implicit methods nationallicence Runge-Kutta nationallicence Cooper G. School of Mathematical and Physical Sciences, University of Sussex, BN1 9QH, Brighton, UK aut Vignesvaran R. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka aut Computing Springer-Verlag 45/4(1990-12-01), 321-332 0010-485X 45:4<321 1990 45 607 https://doi.org/10.1007/BF02238800 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02238800 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cooper G. School of Mathematical and Physical Sciences, University of Sussex, BN1 9QH, Brighton, UK aut NATIONALLICENCE 700 1- Vignesvaran R. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/4(1990-12-01), 321-332 0010-485X 45:4<321 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer