On the existence of higher order polynomial lattices based on a generalized figure of merit-Reference-Cited by-同舟云学术

On the existence of higher order polynomial lattices based on a generalized figure of merit

Published:2007-08 Issue:4-6 Volume:23 Page:581-593
ISSN:0885-064X
Container-title:Journal of Complexity
language:en
Short-container-title:Journal of Complexity

Author:

Dick Josef,Kritzer Peter,Pillichshammer Friedrich,Schmid Wolfgang Ch.

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference14 articles.

1. Theory of reproducing kernels;Aronszajn;Trans. Amer. Math. Soc.,1950

2. J. Dick, Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high dimensional periodic functions, submitted for publication.

3. J. Dick, Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order, submitted for publication.

4. J. Dick, F. Pillichshammer, Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules, J. Complexity, 2007, to appear.

5. Optimal polynomials for (t,m,s)-nets and numerical integration of multivariate Walsh series;Larcher;SIAM J. Numer. Anal.,1996

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