A class of stochastic algorithms for the numerical treatment of the Wigner equation is introduced. The algorithms are derived using the theory of pure jump processes with a general state space. The class contains several new algorithms as well as some of the algorithms previously considered in the literature. The approximation error and the efficiency of the algorithms are analyzed. Numerical experiments are performed on a benchmark test case, where certain advantages of the new class of algorithms are demonstrated.
A class of stochastic algorithms for the Wigner equation
MUSCATO, Orazio;
2016-01-01
Abstract
A class of stochastic algorithms for the numerical treatment of the Wigner equation is introduced. The algorithms are derived using the theory of pure jump processes with a general state space. The class contains several new algorithms as well as some of the algorithms previously considered in the literature. The approximation error and the efficiency of the algorithms are analyzed. Numerical experiments are performed on a benchmark test case, where certain advantages of the new class of algorithms are demonstrated.File in questo prodotto:
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