Parallelization of random number generators and long-range correlations
Numerische Mathematik
Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Programs to generate Niederreiter's low-discrepancy sequences
ACM Transactions on Mathematical Software (TOMS)
Quasirandom number generators for parallel Monte Carlo algorithms
Journal of Parallel and Distributed Computing
Computational investigations of low-discrepancy sequences
ACM Transactions on Mathematical Software (TOMS)
Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators
ACM Transactions on Mathematical Software (TOMS)
A Parallel Quasi-Monte Carlo Method for Solving Systems of Linear Equations
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Parallel and Distributed Computing Issues in Pricing Financial Derivatives through Quasi Monte Carlo
IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
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Currently, the most effective constructions of low-discrepancy point sets and sequences are based on the theory of (t, m, s)-nets and (t, s)-sequences. In this work we discuss parallelization techniques for quasi-Monte Carlo integration using (t, s)-sequences. We show that leapfrog parallelization may be very dangerous whereas block-based parallelization turns out to be robust.