Projection solutions of Frobenius-Perron operator equations

Jiu Ding and Tien Tien Li

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-20

Abstract:

We construct in this paper the first order and second order piecewise polynomial finite approximation schemes for the computation of invariant measures of a class of nonsingular measurable transformations on the unit interval of the real axis. These schemes are based on the Galerkin's projection method for L 1 -spaces and are proved to be convergent for the class of Frobenius-Perron operators.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:694096

DOI: 10.1155/S0161171293000584

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