English

A Block Circulant Embedding Method for Simulation of Stationary Gaussian Random Fields on Block-regular Grids

Computation 2016-06-08 v2 Numerical Analysis

Abstract

We propose a new method for sampling from stationary Gaussian random field on a grid which is not regular but has a regular block structure which is often the case in applications. The introduced block circulant embedding method (BCEM) can outperform the classical circulant embedding method (CEM) which requires a regularization of the irregular grid before its application. Comparison of BCEM vs CEM is performed on some typical model problems.

Keywords

Cite

@article{arxiv.1411.1552,
  title  = {A Block Circulant Embedding Method for Simulation of Stationary Gaussian Random Fields on Block-regular Grids},
  author = {M. Park and M. V. Tretyakov},
  journal= {arXiv preprint arXiv:1411.1552},
  year   = {2016}
}

Comments

[17 pages, 8 figures] We added Remarks 2.1, 3.1, 3.2, and Example 1.3 and removed the Appendix which is now summarized in Remark 2.1

R2 v1 2026-06-22T06:49:45.040Z