Quasi-Monte Carlo tractability of high dimensional integration over products of simplices

Author:

Basu Kinjal

Funder

U.S. National Science Foundation

Publisher

Elsevier BV

Subject

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

Reference33 articles.

1. Sobolev orthogonal polynomials on a simplex;Akta;Int. Math. Res. Not. IMRN,2013

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

3. Stratified sampling of spherical triangles;Arvo,1995

4. State of the art in Monte Carlo ray tracing for realistic image synthesis;Arvo,2001

5. K. Basu, A. Owen, Scrambled geometric net integration over general product spaces (2015), arXiv:1503.02737.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sampling and Change of Measure for Monte Carlo Integration on Simplices;Journal of Scientific Computing;2024-02-13

2. EC-tractability of approximation problems in function spaces defined over products of simplices;Journal of Complexity;2019-12

3. Quasi-Monte Carlo tractability of integration problem in function spaces defined over products of balls;International Journal of Wavelets, Multiresolution and Information Processing;2019-11

4. Asymptotic normality of scrambled geometric net quadrature;The Annals of Statistics;2017-08-01

5. Scrambled Geometric Net Integration Over General Product Spaces;Foundations of Computational Mathematics;2015-10-30

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