On efficient weighted integration via a change of variables
Sign Up to like & getrecommendations! Published in 2020 at "Numerische Mathematik"
DOI: 10.1007/s00211-020-01147-7
Abstract: In this paper, we study the approximation of $d$-dimensional $\rho$-weighted integrals over unbounded domains $\mathbb{R}_+^d$ or $\mathbb{R}^d$ using a special change of variables, so that quasi-Monte Carlo (QMC) or sparse grid rules can be applied… read more here.
Keywords: change; efficient weighted; integration via; weighted integration ... See more keywords
On Lipschitz approximations in second order Sobolev spaces and the change of variables formula
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125659
Abstract: In this paper we study approximations of functions of Sobolev spaces $W^2_{p,\loc}(\Omega)$, $\Omega\subset\mathbb R^n$, by Lipschitz continuous functions. We prove that if $f\in W^2_{p,\loc}(\Omega)$, $1\leq p read more here.
Keywords: loc omega; lipschitz approximations; sobolev spaces; variables formula ... See more keywords