arXiv:1409.6714 Abstract | arXiv Analytics

arXiv:1409.6714 [math.NA]Abstract References Reviews Resources

Some Results on the Complexity of Numerical Integration

Published 2014-09-23Version 1

This is a survey (21 pages, 120 references) written for the MCQMC 2014 conference in Leuven, April 2014. We start with the seminal paper of Bakhvalov (1959) and end with new results on the curse of dimension and on the complexity of oscillatory integrals.

Categories: math.NA

Keywords: numerical integration, complexity, seminal paper, oscillatory integrals, references

Related articles: Most relevant | Search more

arXiv:1304.3372 [math.NA] (Published 2013-04-11, updated 2013-11-12)

The Curse of Dimensionality for Numerical Integration of Smooth Functions II

Aicke Hinrichs, Erich Novak, Mario Ullrich, Henryk Wozniakowski

arXiv:0905.0087 [math.NA] (Published 2009-05-01, updated 2010-09-23)

Hopf algebras of formal diffeomorphisms and numerical integration on manifolds

Alexander Lundervold, Hans Munthe-Kaas

arXiv:0807.2929 [math.NA] (Published 2008-07-18)

A Family of Multistep Methods with Zero Phase-Lag and Derivatives for the Numerical Integration of Oscillatory ODEs

Z. A. Anastassi, D. S. Vlachos, T. E. Simos