Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind

Authors:
J. G. Blom;H. Brunner
Affiliations:
-;-
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1991

Citing 1
Cited 2

The numerical solution of nonlinear volterra integral equations of the second kind by collacation and iterated collocation methods

SIAM Journal on Scientific and Statistical Computing

Fast collocation methods for Volterra integral equations of convolution type

Journal of Computational and Applied Mathematics
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients

Journal of Computational and Applied Mathematics

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Abstract

This paper describes a FORTRAN code for calculating approximate solutions to systems of nonlinear Volterra integral equations of the second kind. The algorithm is based on polynomial spline collocation, with the possibility of combination with the corresponding iterated collocation. It exploits certain local superconvergence properties for the error estimation and the stepsize strategy.