The iterated projection solution for the Fredholm integral equation of second kind
- 1 April 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 22 (4) , 439-451
- https://doi.org/10.1017/s0334270000002782
Abstract
We are concerned with the solution of the second kind Fredholm equation (and eigenvalue problem) by a projection method, where the projection is either an orthogonal projection on a set of piecewise polynomials or an interpolatory projection at the Gauss points of subintervals. We study these cases of superconvergence of the Sloan iterated solution: global superconvergence for a smooth kernel, and superconvergence at the partition points for a kernel of “Green's function” type. The mathematical analysis applies for the solution of the inhomogeneous equation as well as for an eigenvector.Keywords
This publication has 1 reference indexed in Scilit:
- Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: The Principle of the ThingMathematics of Computation, 1980