Some new methods for numerical solution of initial value problems
Práger, Milan, Taufer, Jiří, Vitásek, Emil
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Práger, Milan, Taufer, Jiří, Vitásek, Emil
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Milan Práger, Jiří Taufer, Emil Vitásek (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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Ľubor Malina (1975)
Aplikace matematiky
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Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes -stable methods of arbitrary high order of asymptotic accuracy. In part 5, it is proved that these methods generate methods for numerical solution of Volterra equations which are also -stable and of an arbitrarily high order. There is one advantage of the methods. Namely, they need no matrix inversion in the course of their numerical...