Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds

Surface Finite Element Approximation of Spherical Whittle--Matérn Gaussian Random Fields

(2022) Erik Jansson et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces

(2020) Galatia Cleanthous et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Covariance functions on spheres cross time: Beyond spatial isotropy and temporal stationarity

(2019) Anne Estrade et al.   STATISTICS & PROBABILITY LETTERS

Spectral Simulation of Isotropic Gaussian Random Fields on a Sphere

(2019) Christian Lantuéjoul et al.   Mathematical Geosciences

The rational SPDE approach for Gaussian random fields with general smoothness

(2019) David Bolin et al.   JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS

Simulating isotropic vector-valued Gaussian random fields on the sphere through finite harmonics approximations

(2019) Xavier Emery et al.   STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT

Multilevel Approximation of Gaussian Random Fields: Fast Simulation

(2019) Lukas Herrmann et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise

(2018) David Bolin et al.   BIT NUMERICAL MATHEMATICS

Spatio-Temporal Covariance and Cross-Covariance Functions of the Great Circle Distance on a Sphere

(2016) Emilio Porcu et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations

(2015) Annika Lang et al.   ANNALS OF APPLIED PROBABILITY

Strictly and non-strictly positive definite functions on spheres

(2013) Tilmann Gneiting   BERNOULLI

Finite element methods for surface PDEs

(2013) Gerhard Dziuk et al.   ACTA NUMERICA

An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach

(2011) Finn Lindgren et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

On the Validity of Commonly Used Covariance and Variogram Functions on the Sphere

(2011) Chunfeng Huang et al.   Mathematical Geosciences

Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces

(2009) Alan Demlow   SIAM JOURNAL ON NUMERICAL ANALYSIS