N-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs

By Viet Ha Hoang, Christoph Schwab. 2014

54 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/4a7f9f444a4b462220e13836a0c476206a427e6e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Ronald A. DeVore
2. Albert Cohen
3. Christoph Schwab
4. Rob P. Stevenson
5. Eric Moulines
6. Murad S. Taqqu
7. Franccois Roueff
8. Claude Jeffrey Gittelson

In Numerical Analysis

1. Albert Cohen
2. Ronald A. DeVore
3. Christoph Schwab
4. Claude Jeffrey Gittelson

In Statistics and Probability

1. Albert Cohen
2. Ronald A. DeVore
3. Christoph Schwab
4. Claude Jeffrey Gittelson
5. Andrew M. Stuart
6. Boris N. Khoromskij
7. Abdellah Chkifa

Citations in the corpus

• Approximation of high-dimensional parametric PDEs * (2015, background): “In a similar infinite dimensional framework, and not covered in our paper, let us mention the following related works: (i) similar holomorphy and approximation results are established in [47, 48, 58] for specific type of PDEs and control problems, (ii) approximation of integrals by quadratures is di”