Geodesic
Gaussian direct quadrature methods for double delay Volterra integral equations
Electronic transactions on numerical analysis, Tome 35 (2009), pp. 201-216
In this paper we consider Volterra integral equations with two constant delays. We construct Direct Quadrature methods based on Gaussian formulas, combined with a suitable interpolation technique. We study the convergence and the stability properties of the methods and we carry out some numerical experiments that confirm our theoretical results.
Classification : 65R20
Keywords: Volterra integral equations, direct quadrature method, Gaussian quadrature formulas, convergence, stability 
@article{ETNA_2009__35__a3,
     author = {Cardone,  Angelamaria and Del Prete,  Ida and Nitsch,  Claudia},
     title = {Gaussian direct quadrature methods for double delay {Volterra} integral equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {201--216},
     year = {2009},
     volume = {35},
     zbl = {1196.65198},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__35__a3/}
}
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AU  - Nitsch,  Claudia
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%A Del Prete,  Ida
%A Nitsch,  Claudia
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%J Electronic transactions on numerical analysis
%D 2009
%P 201-216
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%U http://geodesic.mathdoc.fr/item/ETNA_2009__35__a3/
%G en
%F ETNA_2009__35__a3
Cardone,  Angelamaria; Del Prete,  Ida; Nitsch,  Claudia. Gaussian direct quadrature methods for double delay Volterra integral equations. Electronic transactions on numerical analysis, Tome 35 (2009), pp. 201-216. http://geodesic.mathdoc.fr/item/ETNA_2009__35__a3/