Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness
Numerical Analysis
2024-03-12 v3 Numerical Analysis
Abstract
We give a short survey of recent results on sparse-grid linear algorithms of approximate recovery and integration of functions possessing a unweighted or weighted Sobolev mixed smoothness based on their sampled values at a certain finite set. Some of them are extended to more general cases.
Cite
@article{arxiv.2309.04994,
title = {Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness},
author = {Dinh Dũng},
journal= {arXiv preprint arXiv:2309.04994},
year = {2024}
}