Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

Authors:
C. Allouch;P. Sablonnière;D. Sbibih;M. Tahrichi
Affiliations:
Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc;INSA, Centre de Mathématiques, 20 avenue des Buttes de Coesmes, 35043 Rennes Cedex, France;Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc;Université Mohammed I, Ecole Supérieure de Technologie, Laboratoire MATSI, Oujda, Maroc
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 1
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Abstract

Quadrature formulae are established for product integration rules based on discrete spline quasi-interpolants on a bounded interval. The integrand considered may have algebraic or logarithmic singularities. These formulae are then applied to the numerical solution of integral equations with weakly singular kernels.