Oliver G. Ernst

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Ralph-Uwe BörnerTU Bergakademie FreibergVerified email at geophysik.tu-freiberg.de
Stefan GüttelProfessor of Applied Mathematics, University of ManchesterVerified email at manchester.ac.uk
Elisabeth UllmannTechnical University of MunichVerified email at tum.de
Björn SprungkTU Bergakademie FreibergVerified email at math.tu-freiberg.de
Howard ElmanProfessor of Computer Science, University of MarylandVerified email at umd.edu
Martin GanderUniversity of GenevaVerified email at unige.ch
Dianne P O'LearyProfessor of Computer Science, University of MarylandVerified email at cs.umd.edu
Lorenzo TamelliniCNR-IMATIVerified email at imati.cnr.it
Olaf SchneiderKarlsruhe Institute for Technology (KIT)Verified email at kit.edu
Catherine E PowellMathematics, University of ManchesterVerified email at manchester.ac.uk
David J. SilvesterProfessor of Mathematics, University of ManchesterVerified email at manchester.ac.uk
Jan BlechtaCharles UniversityVerified email at karlin.mff.cuni.cz
Alois PichlerTU ChemnitzVerified email at math.tu-chemnitz.de
Jana BörnerTechnical University Bergakademie FreibergVerified email at geophysik.tu-freiberg.de
Mathias ScheunertTU Bergakademie FreibergVerified email at mailserver.tu-freiberg.de
Chao ZhangTechnical University of DenmarkVerified email at dtu.dk
Martin EigelWeierstrass Institute for Applied Analysis and Stochastics BerlinVerified email at wias-berlin.de
Hanno GottschalkProfessor for Mathematical Modeling of Industrial Life Cycles, TU BerlinVerified email at math.tu-berlin.de
Thomas KalmesProfessor of Mathematics, Chemnitz University of TechnologyVerified email at mathematik.tu-chemnitz.de
Thomas NagelTechnische Universität Bergakademie FreibergVerified email at tcd.ie

Oliver G. Ernst

TU Chemnitz

Verified email at math.tu-chemnitz.de - Homepage

Numerical Analysis


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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	578	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	480	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	323	2001
Three ways to solve partial differential equations with neural networks—A review J Blechschmidt, OG Ernst GAMM‐Mitteilungen 44 (2), e202100006, 2021	278	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	208	2006
Geometric aspects of the theory of Krylov subspace methods M Eiermann, OG Ernst Acta Numerica 10, 251-312, 2001	182	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	148	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	143	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	139	2007
Stochastic galerkin matrices OG Ernst, E Ullmann SIAM Journal on Matrix Analysis and Applications 31 (4), 1848-1872, 2010	129	2010
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
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	117	2015
Three-dimensional transient electromagnetic modelling using rational Krylov methods RU Börner, OG Ernst, S Güttel Geophysical Journal International 202 (3), 2025-2043, 2015	113	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	101	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	94	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	92	2005
Deflated restarting for matrix functions M Eiermann, OG Ernst, S Güttel SIAM Journal on Matrix Analysis and Applications 32 (2), 621-641, 2011	76	2011
A finite-element capacitance matrix method for exterior Helmholtz problems OG Ernst Numerische Mathematik 75, 175-204, 1996	65	1996
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	60	2018
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	60	2000

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