Projection solutions of Frobenius-Perron operator equations (Q687852)
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scientific article; zbMATH DE number 436728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projection solutions of Frobenius-Perron operator equations |
scientific article; zbMATH DE number 436728 |
Statements
Projection solutions of Frobenius-Perron operator equations (English)
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6 December 1993
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Summary: We construct 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.
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approximation schemes
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Galerkin's projection method
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\(L^ 1\)-spaces
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