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2022
- EP-PINNs: Cardiac Electrophysiology Characterisation using Physics-Informed Neural Networks. Frontiers in Cardiovascular Medicine, 2022 mehr… BibTeX Volltext ( DOI )
- The ensemble Kalman filter for rare event estimation. SIAM/ASA Journal on Uncertainty Quantification 10 (1), 2022, 317--349 mehr… BibTeX Volltext ( DOI )
2021
- Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators. SIAM/ASA Journal on Uncertainty Quantification 9 (3), 2021, 953--978 mehr… BibTeX Volltext ( DOI )
- Bayesian inference with subset simulation in varying dimensions applied to the Karhunen-Loeve expansion. International Journal for Numerical Methods in Engineering 122 (18), 2021, 5100--5127 mehr… BibTeX Volltext ( DOI )
- Error analysis for probabilities of rare events with approximate models. SIAM Journal on Numerical Analysis 59 (4), 2021, 1948--1975 mehr… BibTeX Volltext ( DOI )
2020
- A Practical Example for the Non-linear Bayesian Filtering of Model Parameters. In: Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2020 mehr… BibTeX Volltext ( DOI )
- Multilevel Adaptive Sparse Leja Approximations for Bayesian Inverse Problems. SIAM Journal on Scientific Computing 42 (1), 2020, A424--A451 mehr… BibTeX Volltext ( DOI )
- Certified and fast computations with shallow covariance kernels. Foundations of Data Science 2 (4), 2020, 487--512 mehr… BibTeX Volltext ( DOI )
- On the Well-posedness of Bayesian Inverse Problems. SIAM/ASA Journal on Uncertainty Quantification 8 (1), 2020, 451-482 mehr… BibTeX Volltext ( DOI )
- On Multilevel Best Linear Unbiased Estimators. SIAM/ASA Journal on Uncertainty Quantification 8 (2), 2020, 601--635 mehr… BibTeX Volltext ( DOI )
- Multilevel Sequential Importance Sampling for Rare Event Estimation. SIAM Journal on Scientific Computing 42 (4), 2020, A2062--A2087 mehr… BibTeX Volltext ( DOI )
2019
- An application of sparse measure valued Bayesian inversion to acoustic sound source identification. Inverse Problems 35 (7), 2019, 075005 mehr… BibTeX Volltext ( DOI )
- Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth. SIAM/ASA Journal on Uncertainty Quantification 7 (2), 2019, 526--552 mehr… BibTeX Volltext ( DOI )
- Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields. SIAM/ASA Journal on Uncertainty Quantification 7 (3), 2019, 948--974 mehr… BibTeX Volltext ( DOI )
- Fast sampling of parameterised Gaussian random fields. Computer Methods in Applied Mechanics and Engineering 348, 2019, 978--1012 mehr… BibTeX Volltext ( DOI )
2018
- Multilevel Sequential2 Monte Carlo for Bayesian inverse problems. Journal of Computational Physics 368, 2018, 154--178 mehr… BibTeX Volltext ( DOI )
2017
- Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients. SIAM/ASA Journal on Uncertainty Quantification 5 (1), 2017, 466--492 mehr… BibTeX Volltext ( DOI )
- Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. Mathematics of Computation 86 (308), 2017, 2827--2860 mehr… BibTeX Volltext ( DOI )
- Random fields in Bayesian inference: effects of the random field discretization. Safety, Reliability, Risk, Resilience and Sustainability of Structures and Infrastructure. Proceedings of the 12th International Conference on Structural Safety and Reliability (ICOSSAR2017),Vienna, Austria, 6–10 August 2017, 2017 mehr… BibTeX
2015
- Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. Stoch PDE: Anal Comp 4 (1), 2015, 41--75 mehr… BibTeX Volltext ( DOI )
- Multilevel Estimation of Rare Events. SIAM/ASA Journal on Uncertainty Quantification 3 (1), 2015, 922--953 mehr… BibTeX Volltext ( DOI )
- Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods. SIAM/ASA Journal on Uncertainty Quantification 3 (1), 2015, 509--534 mehr… BibTeX Volltext ( DOI )
2014
- Erratum: Preconditioning Stochastic Galerkin Saddle Point Systems. SIAM. J. Matrix Anal. & Appl. 35 (1), 2014, 314--315 mehr… BibTeX Volltext ( DOI )
2013
- Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients. Numer. Math. 125 (3), 2013, 569--600 mehr… BibTeX Volltext ( DOI )
2012
- Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems. SIAM J. Sci. Comput. 34 (2), 2012, A659--A682 mehr… BibTeX Volltext ( DOI )
2011
- Expansion of random field gradients using hierarchical matrices. Proc. Appl. Math. Mech. 11 (1), 2011, 911--914 mehr… BibTeX Volltext ( DOI )
- On the convergence of generalized polynomial chaos expansions. ESAIM: M2AN 46 (2), 2011, 317--339 mehr… BibTeX Volltext ( DOI )
2010
- Stochastic Galerkin Matrices. SIAM. J. Matrix Anal. & Appl. 31 (4), 2010, 1848--1872 mehr… BibTeX Volltext ( DOI )
- Preconditioning Stochastic Galerkin Saddle Point Systems. SIAM. J. Matrix Anal. & Appl. 31 (5), 2010, 2813--2840 mehr… BibTeX Volltext ( DOI )
- A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations. SIAM J. Sci. Comput. 32 (2), 2010, 923--946 mehr… BibTeX Volltext ( DOI )
2008
- Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. SIAM J. Sci. Comput. 31 (2), 2008, 1424--1447 mehr… BibTeX Volltext ( DOI )
2007
- Computational aspects of the stochastic finite element method. Comput. Visual Sci. 10 (1), 2007, 3--15 mehr… BibTeX Volltext ( DOI )