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Scientific article
English

Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind

Published inSIAM journal on numerical analysis, vol. 20, no. 3, p. 569-579
Publication date1983
Abstract

Nice proofs of convergence and asymptotic expansions are known for one-step methods for ordinary differential equations. It is shown that these proofs can be generalized in a natural way to "extended" one-step methods for Volterra integral equations of the second kind. Furthermore, the convergence of "mixed" one-step methods is investigated. For both types general Volterra-Runge-Kutta methods are considered as examples.

Affiliation Not a UNIGE publication
Citation (ISO format)
HAIRER, Ernst, LUBICH, Christian, NORSETT, Syvert Paul. Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind. In: SIAM journal on numerical analysis, 1983, vol. 20, n° 3, p. 569–579.
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  • PID : unige:12459
ISSN of the journal0036-1429
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