Advances in Gaussian random field generation: a review
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Publication:2009833
DOI10.1007/s10596-019-09867-yzbMath1427.60094OpenAlexW2965720422WikidataQ127406723 ScholiaQ127406723MaRDI QIDQ2009833
Jingfa Li, Yang Liu, Bo Yu, Shuyu Sun
Publication date: 2 December 2019
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10754/656527
numerical methodsGaussian distributionrandom field generationapplications of Gaussian random fieldsoftware and packages
Random fields (60G60) Gaussian processes (60G15) Geostatistics (86A32) Software, source code, etc. for problems pertaining to probability theory (60-04)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized sequential Gaussian simulation on group size \(\nu\) and screen-effect approximations for large field simulations
- Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients
- The stochastic finite element method: past, present and future
- Response variability of laminate composite plates due to spatially random material parameter
- An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansions.
- Fast random field generation with \(H\)-matrices
- Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients
- A turning bands method for simulating isotropic Gaussian random fields on the sphere
- Simulation of multi-dimensional random fields by Karhunen-Loève expansion
- Karhunen-Loève approximation of random fields by generalized fast multipole methods
- Spectral stochastic finite element analysis for laminated composite plates
- Influence of size on the constitutive equations of concrete or rock dowels
- Hierarchical Matrices: Algorithms and Analysis
- Convergence analysis of macro spreading in 3D heterogeneous porous media
- Spectral Methods for Uncertainty Quantification
- The intrinsic random functions and their applications
- Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
- Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields
- Numerical prediction of turbulent flow structure generated by a synthetic cross‐jet into a turbulent boundary layer
- A BLOCK CIRCULANT EMBEDDING METHOD FOR SIMULATION OF STATIONARY GAUSSIAN RANDOM FIELDS ON BLOCK-REGULAR GRIDS
- Random Fields
- Random Fields and Geometry
- Collecting Spatial Data
- Diffusion by a Random Velocity Field
- Efficient generation of conditional simulations by Chebyshev matrix polynomial approximations to the symmetric square root of the covariance matrix
- Moving averages for Gaussian simulation in two and three dimensions
- General joint conditional simulations using a fast Fourier transform method
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