HIGH-ORDER APPROXIMATION OF THE FROBENIUS-PERRON OPERATOR

被引：41

作者：

DING, J ^{[1
]}

DU, Q ^{[1
]}

LI, TY ^{[1
]}

机构：

[1] MICHIGAN STATE UNIV,DEPT MATH,E LANSING,MI 48824

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1993年 / 53卷 / 2-3期

关键词：

D O I：

10.1016/0096-3003(93)90099-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate a general convergence theory for the finite dimensional projection approximation of the fixed point of a class of linear operators. In particular, we explore the relation with the standard framework of stability and consistency of the approximation imply convergence. Applications include the Frobenius-Perron operator P(S), corresponding to a nonsingular measurable transformation from [0, 1] to itself. Numerical experiments are also given to support the theoretical analysis.

引用

页码：151 / 171

页数：21

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