Monte Carlo algorithms: performance analysis for some computer architectures
Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
Ultra-fast Semiconductor Carrier Transport Simulation on the Grid
Large-Scale Scientific Computing
Quasi-random approach in the grid application SALUTE
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
Electron-phonon interaction in nanowires: A Monte Carlo study of the effect of the field
Mathematics and Computers in Simulation
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We present a stochastic approach for solving the quantum-kinetic equation introduced in Part I. A Monte Carlo method based on backward time evolution of the numerical trajectories is developed. The computational complexity and the stochastic error are investigated numerically. Variance reduction techniques are applied, which demonstrate a clear advantage with respect to the approaches based on symmetry transformation. Parallel implementation is realized on a GRID infrastructure.