2001/05/07 by Roberto Vio, Paola Andreani, Willem Wamsteker · 39 citations
Decision Sciences · Environmental Science · Physics and Astronomy · #Computer simulation #Field (mathematics) #Probabilistic and Robust Engineering Design #Random field #Scalar (mathematics) #Scalar field #Scientific Research and Discoveries #Set (abstract data type) #Soil Geostatistics and Mapping #astro-ph
paper · pdf · doi:10.1086/322919
published in Publications of the Astronomical Society of the Pacific 113(786), 1009-1020 (Institute of Physics) · 37 pages, 9 figures, accepted by P.A.S.P
arxiv created 2001/05/07 · openalex publication_date 2001/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we will consider the problem of the numerical simulation of non‐Gaussian, scalar random fields with a prescribed correlation structure either provided by a theoretical model or computed on a set of observational data. Although the numerical generation of a generic, non‐Gaussian random field is a trivial operation, the task becomes difficult when the field is constrained with a prescribed correlation structure. In this regard, three numerical methods, useful for astronomical applications, are presented. The limits and capabilities of each method are discussed, and the pseudocodes describing the numerical implementation are provided for two of them.