Projection solutions of Frobenius-Perron operator equations
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 projectio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000584 |
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| Summary: | 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 L1-spaces and are proved to be convergent for the class of
Frobenius-Perron operators. |
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| ISSN: | 0161-1712 1687-0425 |