Geodesic
$A$-stable methods of high order for Volterra integral equations
Applications of Mathematics, Tome 20 (1975) no. 5, pp. 336-344

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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 realization.
DOI : 10.21136/AM.1975.103599
Classification : 45D05, 45L05, 65R05, 65R20
Keywords: $A$-stable methods 
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     title = {$A$-stable methods of high order for {Volterra} integral equations},
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Malina, Ľubor. $A$-stable methods of high order for Volterra integral equations. Applications of Mathematics, Tome 20 (1975) no. 5, pp. 336-344. doi: 10.21136/AM.1975.103599

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