Displaying similar documents to “ A -stability and numerical solution of abstract differential equations”

A -stable methods of high order for Volterra integral equations

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 A -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 A -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...