High Order Approximation of the Frobenius-Perron Operator

  title={High Order Approximation of the Frobenius-Perron Operator},
  author={J. Ding},
We formulate a general convergence theory for the finite dimensional projection approximation of the fmed 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 Ps, corresponding to a nonsingular measurable transformation from [0, l] to itself. Numerical experiments are also given to support the theoretical analysis.