Cardone, Angelamaria; Del Prete, Ida; Nitsch, Claudia Gaussian direct quadrature methods for double delay Volterra integral equations. (English) Zbl 1196.65198 ETNA, Electron. Trans. Numer. Anal. 35, 201-216 (2009). The authors study the solution of Volterra integral equations with two constant delays. They construct quadrature methods based on Gaussian quadrature formulas. The solution at Gaussian nodes not belonging to the mesh is obtained by suitable polynomial interpolation. Convergence results and stability properties of the method are studied and confirmed by numerical experiments. Reviewer: Gunther Schmidt (Berlin) Cited in 4 Documents MSC: 65R20 Numerical methods for integral equations 45D05 Volterra integral equations Keywords:Volterra integral equations; direct quadrature method; Gaussian quadrature formulas; convergence; stability; double delay; numerical experiments PDFBibTeX XMLCite \textit{A. Cardone} et al., ETNA, Electron. Trans. Numer. Anal. 35, 201--216 (2009; Zbl 1196.65198) Full Text: EuDML EMIS