THE PROJECTION METHOD FOR COMPUTING MULTIDIMENSIONAL ABSOLUTELY CONTINUOUS INVARIANT-MEASURES

被引：21

作者：

DING, J ^{[1
]}

ZHOU, AH ^{[1
]}

机构：

[1] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 77卷 / 3-4期

关键词：

FROBENIUS-PERRON OPERATORS; INVARIANT MEASURES;

D O I：

10.1007/BF02179467

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an algorithm for numerically computing an absolutely continuous invariant measure associated with a piecewise C-2 expanding mapping S:Omega-->Omega on a bounded region Omega subset of R(N). The method is based on the Galerkin projection principle for solving an operator equation in a Banach space. With the help of the modern notion of functions of bounded variation in multidimension, we prove the convergence of the algorithm.

引用

页码：899 / 908

页数：10

共 17 条

[1] APPROXIMATING MEASURES INVARIANT UNDER HIGHER-DIMENSIONAL CHAOTIC TRANSFORMATIONS [J].

BOYARSKY, A ;

LOU, YS .

JOURNAL OF APPROXIMATION THEORY, 1991, 65 (02) :231-244

[2] ERROR-ESTIMATES OF THE MARKOV FINITE APPROXIMATION OF THE FROBENIUS-PERRON OPERATOR [J].

CHIU, C ;

DU, Q ;

LI, TY .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (04) :291-308

[3]

Ciarlet P.G., 2002, FINITE ELEMENT METHO

[4] HIGH-ORDER APPROXIMATION OF THE FROBENIUS-PERRON OPERATOR [J].

DING, J ;

DU, Q ;

LI, TY .

APPLIED MATHEMATICS AND COMPUTATION, 1993, 53 (2-3) :151-171

[5]

DING J, IN PRESS NONLINEAR A

[6]

DING J, IN RPESS J MATH ANAL

[7]

Ding J., 1993, INT J MATH MATH SCI, V16, P465

[8]

DING J, 1991, J NONLINEAR ANAL, V17, P759

[9]

Girault V., 2012, FINITE ELEMENT METHO, V5

[10]

GIUSTI E, 1984, MINIMAL SURFACES FUN

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