Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the corresponding Frobenius-Perron operator. The method of Markov finite approximations has been proved theoretically and computationally a fast and efficient numerical approach to computing a fixed density of P. In this paper we give a strict analysis for the approximation order of the method applied to continuous functions
Piecewise deterministic Markov processes (PDMPs) are a class of stochastic processes with applicatio...
We consider a natural approximation scheme for piecewise expanding, piecewise C1+Lipschitz, mixing M...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We construct piecewise linear Markov finite approximations of Markov operators defined on L-1([0, 1]...
We propose a piecewise linear numerical method based on least squares approximations for computing s...
We present lower and upper error bounds under the BV-norm for piecewise linear Markov finite approxi...
AbstractIn this paper we survey some recent developments in the numerical analysis of Markov operato...
In this paper, we propose a modified piecewise linear Markov method for approximating Markov operato...
Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron o...
In this paper we prove both the L1-norm and the BV-norm convergence for a piecewise linear least squ...
Let S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron op...
Let S : [0, 1] → [0, 1] be a piecewise increasing mapping satisfying some generalized convexity cond...
We formulate a general convergence theory for the finite dimensional projection approximation of the...
In this paper, we consider the problem of approximating a function by Bernstein-type polynomials tha...
Piecewise deterministic Markov processes (PDMPs) are a class of stochastic processes with applicatio...
We consider a natural approximation scheme for piecewise expanding, piecewise C1+Lipschitz, mixing M...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We construct piecewise linear Markov finite approximations of Markov operators defined on L-1([0, 1]...
We propose a piecewise linear numerical method based on least squares approximations for computing s...
We present lower and upper error bounds under the BV-norm for piecewise linear Markov finite approxi...
AbstractIn this paper we survey some recent developments in the numerical analysis of Markov operato...
In this paper, we propose a modified piecewise linear Markov method for approximating Markov operato...
Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron o...
In this paper we prove both the L1-norm and the BV-norm convergence for a piecewise linear least squ...
Let S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron op...
Let S : [0, 1] → [0, 1] be a piecewise increasing mapping satisfying some generalized convexity cond...
We formulate a general convergence theory for the finite dimensional projection approximation of the...
In this paper, we consider the problem of approximating a function by Bernstein-type polynomials tha...
Piecewise deterministic Markov processes (PDMPs) are a class of stochastic processes with applicatio...
We consider a natural approximation scheme for piecewise expanding, piecewise C1+Lipschitz, mixing M...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
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