TY - JOUR
T1 - On Discrete Superconvergence Properties of Spline Collocation Methods for Nonlinear Volterra Integral Equations
AU - Hermann Brunner
JO - Journal of Computational Mathematics
VL - 4
SP - 348
EP - 357
PY - 1992
DA - 1992/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9367.html
KW - 
AB - <p style="text-align: justify;">It is shown that the error corresponding to certain spline collocation approximations for nonlinear Volterra integral equations of the second kind is the solution of a nonlinearly perturbed linear Volterra integral equation. On the basis of this result it is possible to derive general estimates for the order of convergence of the spline solution at the underlying mesh points. Extensions of these techniques to other types of Volterra equations are indicated. &nbsp;</p>