Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions

Author:

Suzuki Kosuke

Funder

Program for Leading Graduate Schools, MEXT, Japan

Publisher

Elsevier BV

Subject

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

Reference23 articles.

1. Quadrature Theory: The Theory of Numerical Integration on a Compact Interval;Brass,2011

2. A Taylor space for multivariate integration;Dick;Monte Carlo Methods Appl.,2006

3. Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order;Dick;SIAM J. Numer. Anal.,2008

4. Exponential convergence and tractability of multivariate integration for Korobov spaces;Dick;Math. Comp.,2011

5. Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration;Dick,2010

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