Equivalent iterative methods for p-cyclic matrices. - Oliver G. Ernst (Numer. Algorithms, 2000)

Residual-Minimizing Krylov Subspace Methods for Stabilized Discretizations of Convection-Diffusion Equations. - Oliver G. Ernst (SIAM J. Matrix Anal. Appl., 2000)

A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations. - Howard C. Elman; Oliver G. Ernst; Dianne P. O'Leary (SIAM J. Sci. Comput., 2001)

A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions. - Michael Eiermann; Oliver G. Ernst (SIAM J. Numer. Anal., 2006)

Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data. - Oliver G. Ernst; Catherine Elizabeth Powell; David J. Silvester; Elisabeth Ullmann (SIAM J. Sci. Comput., 2009)

Stochastic Galerkin Matrices. - Oliver G. Ernst; Elisabeth Ullmann (SIAM J. Matrix Anal. Appl., 2010)

Deflated Restarting for Matrix Functions. - Michael Eiermann; Oliver G. Ernst; Stefan Güttel (SIAM J. Matrix Anal. Appl., 2011)

Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems. - Elisabeth Ullmann; Howard C. Elman; Oliver G. Ernst (SIAM J. Sci. Comput., 2012)

Analysis of the Ensemble and Polynomial Chaos Kalman Filters in Bayesian Inverse Problems. - Oliver G. Ernst; Björn Sprungk; Hans-Jörg Starkloff (SIAM/ASA J. Uncertain. Quantification, 2015)

Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs). - Oliver G. Ernst; Björn Sprungk; Lorenzo Tamellini (SIAM J. Numer. Anal., 2018)

On Expansions and Nodes for Sparse Grid Collocation of Lognormal Elliptic PDEs. - Oliver G. Ernst; Björn Sprungk; Lorenzo Tamellini (CoRR, 2019)

Sensitivity of Uncertainty Propagation for the Elliptic Diffusion Equation. - Oliver G. Ernst; Alois Pichler; Björn Sprungk (CoRR, 2020)

Three Ways to Solve Partial Differential Equations with Neural Networks - A Review. - Jan Blechschmidt; Oliver G. Ernst (CoRR, 2021)

Efficient solution of parameter identification problems with H1 regularization. - Jan Blechta; Oliver G. Ernst (CoRR, 2022)

On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion. - Martin Eigel; Oliver G. Ernst; Björn Sprungk; Lorenzo Tamellini (SIAM J. Numer. Anal., 2022)

Wasserstein Sensitivity of Risk and Uncertainty Propagation. - Oliver G. Ernst; Alois Pichler; Björn Sprungk (SIAM/ASA J. Uncertain. Quantification, 2022)

Efficient Solution of Parameter Identification Problems with (H^1 ) Regularization. - Jan Blechta; Oliver G. Ernst (SIAM J. Sci. Comput., 2024)

Effects of inhomogeneity and statistical and material anisotropy on THM simulations. - Aqeel Afzal Chaudhry; Chao Zhang; Oliver G. Ernst; Thomas Nagel (Reliab. Eng. Syst. Saf., 2025)

Learning to Integrate. - Oliver G. Ernst; Hanno Gottschalk; Toni Kowalewitz; Patrick Krüger (CoRR, 2025)