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Three-dimensional inversion for sparse potential data using first-order system least squares with application to gravity anomalies in Western Queensland
Geostatistical inverse modeling with very large datasets: an example from the Orbiting Carbon Observatory 2 (OCO-2) satellite
Scot M. Miller, Arvind K. Saibaba, Michael E. Trudeau, Marikate E. Mountain and Arlyn E. Andrews Geoscientific Model Development 13(3) 1771 (2020) https://doi.org/10.5194/gmd-13-1771-2020
Tucker Tensor Analysis of Matérn Functions in Spatial Statistics
Alexander Litvinenko, David Keyes, Venera Khoromskaia, Boris N. Khoromskij and Hermann G. Matthies Computational Methods in Applied Mathematics 19(1) 101 (2019) https://doi.org/10.1515/cmam-2018-0022
Likelihood approximation with hierarchical matrices for large spatial datasets
Randomized algorithms for generalized Hermitian eigenvalue problems with application to computing Karhunen–Loève expansion
Arvind K. Saibaba, Jonghyun Lee and Peter K. Kitanidis Numerical Linear Algebra with Applications 23(2) 314 (2016) https://doi.org/10.1002/nla.2026
The compressed state Kalman filter for nonlinear state estimation: Application to large‐scale reservoir monitoring
Judith Yue Li, Amalia Kokkinaki, Hojat Ghorbanidehno, Eric F. Darve and Peter K. Kitanidis Water Resources Research 51(12) 9942 (2015) https://doi.org/10.1002/2015WR017203
A Kalman filter powered by H2-matrices for quasi-continuous data assimilation problems
Judith Yue Li, Sivaram Ambikasaran, Eric F. Darve and Peter K. Kitanidis Water Resources Research 50(5) 3734 (2014) https://doi.org/10.1002/2013WR014607
Principal Component Geostatistical Approach for large‐dimensional inverse problems
Sivaram Ambikasaran, Arvind K. Saibaba, Eric F. Darve and Peter K. Kitanidis The IMA Volumes in Mathematics and its Applications, Computational Challenges in the Geosciences 156 101 (2013) https://doi.org/10.1007/978-1-4614-7434-0_5