Scientific Article
previous document  unige:12459  next document
add to browser collection
Title

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

Authors
Lubich, Christian
Norsett, Syvert Paul
Published in SIAM Journal on Numerical Analysis. 1983, vol. 20, no. 3, p. 569-579
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.
Full text
Article (Published version) (297 Kb) - private document Private access
Other version: http://www.jstor.org/stable/2157272
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. https://archive-ouverte.unige.ch/unige:12459

140 hits

3 downloads

Update

Deposited on : 2010-11-15

Export document
Format :
Citation style :