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General linear methods for Volterra integral equations

Academic Article
Publication Date:
2010
abstract:
We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which have good stability properties with respect to the basic test equation and the convolution one are given.
Iris type:
01.01 Articolo in rivista
Keywords:
General linear methods; Volterra integral equations; Order conditions; Linear stability analysis; Convolution test equation
List of contributors:
Vecchio, Antonia
Handle:
https://iris.cnr.it/handle/20.500.14243/116571
Published in:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Journal
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