Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations
An existence and uniqueness result is given for nonlinear Volterra integral equations of the first kind. This permits, by means of analogous discrete manipulations, a general convergence analysis for a wide class of discretization methods for nonlinear first kind Volterra integral equations to be presented. A concept of optimal consistency allows two- sided error bounds to be derived.
nonlinear Volterra integral equations of the first kind
scientific article; zbMATH DE number 3898178