Extensible hyperplane nets
Copyright policy )Extensible hyperplane nets
The authors give the construction algorithm for hyperplane nets (a generalization of polynomial lattice point sets), and prove that the constructed hyperplane nets are extensible and good with respect to a certain quality criterion. They also give some pure existence results for extensible hyperplane nets of good quality with respect to the worst-case integration error or the star discrepancy. Moreover, some numerical examples and discussions are also given.
quasi-Monte Carlo, Pseudo-random numbers; Monte Carlo methods, Algebra and Number Theory, Quasi-Monte Carlo, hyperplane nets, Applied Mathematics, Monte Carlo methods, digital nets, Theoretical Computer Science, Digital nets, Irregularities of distribution, discrepancy, Numerical integration, Hyperplane nets, discrepancy, worst-case error, Worst-case error, Discrepancy, Engineering(all)
quasi-Monte Carlo, Pseudo-random numbers; Monte Carlo methods, Algebra and Number Theory, Quasi-Monte Carlo, hyperplane nets, Applied Mathematics, Monte Carlo methods, digital nets, Theoretical Computer Science, Digital nets, Irregularities of distribution, discrepancy, Numerical integration, Hyperplane nets, discrepancy, worst-case error, Worst-case error, Discrepancy, Engineering(all)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!