Abstract
Simple formulae of the Runge-Kutta type and order greater than four are established for linear differential systems of the first order. They can also be used to solve numerically algebraic equations with real coefficients.
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S. Guerra:Qualche contributo alla teoria delle formule di Runge-Kntta, Calcolo2 (1965), 273–294.
A. Ghizzetti:Sulle formule di quadratura Rend. del Semin. Matem. e fisico di Milano,26 (1954–55).
E. Fehlbhrg:Eine Methode zur Fehlerver Kleinerung beim Runge-Kntta-Verfahren, Zeitschrift für Angewandte Mathematik,38 (1958), 421–426.
F. Ceschino—J. Kuntzmann:Problemes differentiels de conditions initiales, Dunod (Paris) 1963.
J. Todd:Survey of Numerical Analysis, McGraw-Hill Book Company, Inc. (1962).
J. Kuntzmann:Deux formules optimales du type de Runge-Kutta, Chiffres,2 (1959), 21–26.
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Guerra, S. Formule di runge-kutta di ordine elevato per i sistemi differenziali lineari del 1o ordine con applicazione al calcolo delle radici delle equazioni algebriche. Calcolo 2, 407–440 (1965). https://doi.org/10.1007/BF02576025
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DOI: https://doi.org/10.1007/BF02576025