On the convergence of generalized polynomial chaos expansions OG Ernst, A Mugler, HJ Starkloff, E Ullmann ESAIM: Mathematical Modelling and Numerical Analysis 46 (2), 317-339, 2012 | 555 | 2012 |
Why it is difficult to solve Helmholtz problems with classical iterative methods OG Ernst, MJ Gander Numerical analysis of multiscale problems, 325-363, 2011 | 454 | 2011 |
A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations HC Elman, OG Ernst, DP O'leary SIAM Journal on scientific computing 23 (4), 1291-1315, 2001 | 311 | 2001 |
Three ways to solve partial differential equations with neural networks—A review J Blechschmidt, OG Ernst GAMM‐Mitteilungen 44 (2), e202100006, 2021 | 218 | 2021 |
A restarted Krylov subspace method for the evaluation of matrix functions M Eiermann, OG Ernst SIAM Journal on Numerical Analysis 44 (6), 2481-2504, 2006 | 204 | 2006 |
Geometric aspects of the theory of Krylov subspace methods M Eiermann, OG Ernst Acta Numerica 10, 251-312, 2001 | 179 | 2001 |
Fast 3-D simulation of transient electromagnetic fields by model reduction in the frequency domain using Krylov subspace projection B Ralph-Uwe, OG Ernst, K Spitzer Geophysical Journal International 173 (3), 766-780, 2008 | 142 | 2008 |
Implementation of a restarted Krylov subspace method for the evaluation of matrix functions M Afanasjew, M Eiermann, OG Ernst, S Güttel Linear Algebra and its applications 429 (10), 2293-2314, 2008 | 139 | 2008 |
Computational aspects of the stochastic finite element method M Eiermann, OG Ernst, E Ullmann Computing and visualization in science 10 (1), 3-15, 2007 | 135 | 2007 |
Analysis of acceleration strategies for restarted minimal residual methods M Eiermann, OG Ernst, O Schneider Journal of Computational and Applied Mathematics 123 (1-2), 261-292, 2000 | 129 | 2000 |
Stochastic galerkin matrices OG Ernst, E Ullmann SIAM Journal on Matrix Analysis and Applications 31 (4), 1848-1872, 2010 | 128 | 2010 |
Analysis of the ensemble and polynomial chaos Kalman filters in Bayesian inverse problems OG Ernst, B Sprungk, HJ Starkloff SIAM/ASA Journal on Uncertainty Quantification 3 (1), 823-851, 2015 | 109 | 2015 |
Three-dimensional transient electromagnetic modelling using rational Krylov methods RU Börner, OG Ernst, S Güttel Geophysical Journal International 202 (3), 2025-2043, 2015 | 102 | 2015 |
Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data OG Ernst, CE Powell, DJ Silvester, E Ullmann SIAM Journal on Scientific Computing 31 (2), 1424-1447, 2009 | 97 | 2009 |
Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems E Ullmann, HC Elman, OG Ernst SIAM Journal on Scientific Computing 34 (2), A659-A682, 2012 | 92 | 2012 |
Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering HC Elman, OG Ernst, DP O’Leary, M Stewart Computer Methods in Applied Mechanics and Engineering 194 (9-11), 1037-1055, 2005 | 91 | 2005 |
Deflated restarting for matrix functions M Eiermann, OG Ernst, S Güttel SIAM Journal on Matrix Analysis and Applications 32 (2), 621-641, 2011 | 75 | 2011 |
A finite-element capacitance matrix method for exterior Helmholtz problems OG Ernst Numerische Mathematik 75, 175-204, 1996 | 63 | 1996 |
Residual-minimizing Krylov subspace methods for stabilized discretizations of convection-diffusion equations OG Ernst SIAM Journal on Matrix Analysis and Applications 21 (4), 1079-1101, 2000 | 58 | 2000 |
Convergence of sparse collocation for functions of countably many Gaussian random variables (with application to elliptic PDEs) OG Ernst, B Sprungk, L Tamellini SIAM Journal on Numerical Analysis 56 (2), 877-905, 2018 | 55 | 2018 |