High-Order Approximation of the Frobenius-Perron Operator
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.
Applied Mathematics and Computation
(1993). High-Order Approximation of the Frobenius-Perron Operator. Applied Mathematics and Computation, 53(2-3), 151-171.
Available at: http://aquila.usm.edu/fac_pubs/6392