The numerical solution of linear integrodifferential equations by projection methods. (English) Zbl 0586.65096

The author presents an approach to the approximate solution of the equation \((L-K)x=f\) where L and L-K are continuously invertible operators and K is compact. (An alternative approach is available using the concept of discrete convergence.) As a special case of the general results, the author develops a spline-collocation method for integro-differential equations and gives the corresponding convergence results.
Reviewer: G.Vainikko


65R20 Numerical methods for integral equations
65J10 Numerical solutions to equations with linear operators
45J05 Integro-ordinary differential equations