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Oliver G. Ernst
Oliver G. Ernst
Verified email at math.tu-chemnitz.de - Homepage
Title
Cited by
Cited by
Year
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
5642012
Why it is difficult to solve Helmholtz problems with classical iterative methods
OG Ernst, MJ Gander
Numerical analysis of multiscale problems, 325-363, 2011
4662011
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
3162001
Three ways to solve partial differential equations with neural networks—A review
J Blechschmidt, OG Ernst
GAMM‐Mitteilungen 44 (2), e202100006, 2021
2392021
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
2042006
Geometric aspects of the theory of Krylov subspace methods
M Eiermann, OG Ernst
Acta Numerica 10, 251-312, 2001
1822001
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
1472008
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
1412008
Computational aspects of the stochastic finite element method
M Eiermann, OG Ernst, E Ullmann
Computing and visualization in science 10 (1), 3-15, 2007
1382007
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
1292000
Stochastic galerkin matrices
OG Ernst, E Ullmann
SIAM Journal on Matrix Analysis and Applications 31 (4), 1848-1872, 2010
1282010
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
1092015
Three-dimensional transient electromagnetic modelling using rational Krylov methods
RU Börner, OG Ernst, S Güttel
Geophysical Journal International 202 (3), 2025-2043, 2015
1082015
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
982009
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
922012
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
922005
Deflated restarting for matrix functions
M Eiermann, OG Ernst, S Güttel
SIAM Journal on Matrix Analysis and Applications 32 (2), 621-641, 2011
752011
A finite-element capacitance matrix method for exterior Helmholtz problems
OG Ernst
Numerische Mathematik 75, 175-204, 1996
641996
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
602018
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
582000
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