An improved quadrature method for integral equations with logarithmic kernel
- Celorrio Ibáñez, Rafael
- Domínguez Báguena, Víctor
- Madaune-Tort, Monique (coord.)
Editorial: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza
ISBN: 84-96214-04-4
Año de publicación: 2003
Páginas: 185-192
Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (7. 2001. Jaca)
Tipo: Aportación congreso
Resumen
In this paper we present a family of modified quadrature methods for the numerical approximation of integral equations of the first kind with logarithmic kernel. We prove the stability and the existence, under some smoothness assumptions for the exact solution, of an expansion in powers of the discretization parameter of the error. Using this expansion we deduce that a particular method reaches order three. Some comments on the use of Richardson extrapolation are given.