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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| Format: | Article |
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Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293000584 |
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doaj-10fa7225952d46e3a8210083d90c09c62020-11-24T23:26:22ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116346548410.1155/S0161171293000584Projection solutions of Frobenius-Perron operator equationsJiu Ding0Tien Tien Li1Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USADepartment of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USAWe 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.http://dx.doi.org/10.1155/S0161171293000584projection methodFrobenius-Perron operator. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jiu Ding Tien Tien Li |
| spellingShingle |
Jiu Ding Tien Tien Li Projection solutions of Frobenius-Perron operator equations International Journal of Mathematics and Mathematical Sciences projection method Frobenius-Perron operator. |
| author_facet |
Jiu Ding Tien Tien Li |
| author_sort |
Jiu Ding |
| title |
Projection solutions of Frobenius-Perron operator equations |
| title_short |
Projection solutions of Frobenius-Perron operator equations |
| title_full |
Projection solutions of Frobenius-Perron operator equations |
| title_fullStr |
Projection solutions of Frobenius-Perron operator equations |
| title_full_unstemmed |
Projection solutions of Frobenius-Perron operator equations |
| title_sort |
projection solutions of frobenius-perron operator equations |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1993-01-01 |
| description |
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. |
| topic |
projection method Frobenius-Perron operator. |
| url |
http://dx.doi.org/10.1155/S0161171293000584 |
| work_keys_str_mv |
AT jiuding projectionsolutionsoffrobeniusperronoperatorequations AT tientienli projectionsolutionsoffrobeniusperronoperatorequations |
| _version_ |
1725555521708097536 |