Resumen de A Nyström interpolant for some weakly singular nonlinear Volterra integral equations

Paola Baratella

• We consider a second kind weakly singular nonlinear Volterra�Hammerstein integral equation defined by a compact operator and derive a Nyström type interpolant of the solution based on Gauss�Radau nodes. We prove the convergence of the interpolant and derive convergence estimates. For equations with nonlinearity of algebraic kind, we improve the rate of convergence by using a smoothing transformation. Some numerical examples are given.