Faster evaluation of multidimensional integrals
Computers in Physics
Statistical Algorithms for Simulation of Electron Quantum Kinetics in Semiconductors - Part I
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Generating and Testing the Modified Halton Sequences
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
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
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In this paper we study the possibility to use the Sobol' and Halton quasi-random number sequences (QRNs) in solving the Barker-Ferry (B-F) equation which accounts for the quantum character of the electron-phonon interaction in semiconductors. The quasi-Monte Carlo (QMC) solutions obtained by QRNs are compared with the Monte Carlo (MC) solutions in case when the scalable parallel random number generator (SPRNG) library is used for producing the pseudo-random number sequences (PRNs).In order to solve the B-F equation by a MC method, a transition density with a new sampling approach is suggested in the Markov chain.