Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
A New Efficient Algorithm for Generating the Scrambled Sobol' Sequence
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
Mathematics and Computers in Simulation
Femtosecond evolution of spatially inhomogeneous carrier excitations part i: kinetic approach
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
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In this work we propose a hybrid Monte Carlo method for solving the Levinson equation. This equation describes the electron-phonon interaction on a quantum-kinetic level in a wire. The evolution problem becomes inhomogeneous due to the spatial dependence of the initial condition. The properties of the presented algorithm, such as computational complexity and accuracy, are investigated on the Grid by mixing quasi-random numbers and pseudo-random numbers. The numerical results are obtain for a physical model with GaAs material parameters in the case of zero electrical field.