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Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems

Mathematics of computation, 2017-11, Vol.86 (308), p.2827-2860

2017

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Effects of noise on vascular function, oxidative stress, and inflammation: mechanistic insight from studies in mice

European heart journal, 2017-10, Vol.38 (37), p.2838-2849

2017

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Antagonization of IL-17A Attenuates Skin Inflammation and Vascular Dysfunction in Mouse Models of Psoriasis

Journal of investigative dermatology, 2019-03, Vol.139 (3), p.638-647

2019

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EP-PINNs: Cardiac Electrophysiology Characterisation Using Physics-Informed Neural Networks

Frontiers in cardiovascular medicine, 2022-02, Vol.8, p.768419-768419

2022

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Pentaerythritol Tetranitrate In Vivo Treatment Improves Oxidative Stress and Vascular Dysfunction by Suppression of Endothelin-1 Signaling in Monocrotaline-Induced Pulmonary Hypertension

Oxidative medicine and cellular longevity, 2017-01, Vol.2017, p.4353462-13

2017

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A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations

SIAM journal on scientific computing, 2010-01, Vol.32 (2), p.923-946

Ullmann, Elisabeth

2010

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Nitroglycerin induces DNA damage and vascular cell death in the setting of nitrate tolerance

Basic research in cardiology, 2016-07, Vol.111 (4), p.52-16, Article 52

2016

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Fast sampling of parameterised Gaussian random fields

Computer methods in applied mechanics and engineering, 2019-05, Vol.348, p.978-1012

2019

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Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators

SIAM/ASA journal on uncertainty quantification, 2021-01, Vol.9 (3), p.953-978

2021

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On Multilevel Best Linear Unbiased Estimators

SIAM/ASA journal on uncertainty quantification, 2020-01, Vol.8 (2), p.601-635

2020

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Multilevel Sequential^sup 2^ Monte Carlo for Bayesian inverse problems

Journal of computational physics, 2018-09, Vol.368, p.154

2018

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Multilevel Sequential2 Monte Carlo for Bayesian inverse problems

Journal of computational physics, 2018-09, Vol.368, p.154-178

2018

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Error Analysis for Probabilities of Rare Events with Approximate Models

SIAM journal on numerical analysis, 2021-01, Vol.59 (4), p.1948-1975

2021

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Multilevel Estimation of Rare Events

SIAM/ASA journal on uncertainty quantification, 2015-01, Vol.3 (1), p.922-953

2015

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On the convergence of generalized polynomial chaos expansions

ESAIM. Mathematical modelling and numerical analysis, 2012-03, Vol.46 (2), p.317-339

2012

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A KRONECKER PRODUCT PRECONDITIONER FOR STOCHASTIC GALERKIN FINITE ELEMENT DISCRETIZATIONS

SIAM journal on scientific computing, 2011, Vol.32 (2), p.923-946

ULLMANN, Elisabeth

2011

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Bayesian inference with subset simulation in varying dimensions applied to the Karhunen–Loève expansion

International journal for numerical methods in engineering, 2021-09, Vol.122 (18), p.5100-5127

2021

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Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients

SIAM/ASA journal on uncertainty quantification, 2017-01, Vol.5 (1), p.466-492

2017

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Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth

SIAM/ASA journal on uncertainty quantification, 2019-01, Vol.7 (2), p.526-552

2019

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STOCHASTIC GALERKIN MATRICES

SIAM journal on matrix analysis and applications, 2010-01, Vol.31 (4), p.1848-1872

2010

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Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems

SIAM journal on scientific computing, 2012-01, Vol.34 (2), p.A659-A682

2012

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Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods

SIAM/ASA journal on uncertainty quantification, 2015-01, Vol.3 (1), p.509-534

2015

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Erratum: Preconditioning Stochastic Galerkin Saddle Point Systems

SIAM journal on matrix analysis and applications, 2014-01, Vol.35 (1), p.314-315

2014

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Preconditioning Stochastic Galerkin Saddle Point Systems

SIAM journal on matrix analysis and applications, 2010-01, Vol.31 (5), p.2813-2840

2010

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Computational aspects of the stochastic finite element method

Computing and visualization in science, 2007-03, Vol.10 (1), p.3-15

2007

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Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems

Effects of noise on vascular function, oxidative stress, and inflammation: mechanistic insight from studies in mice

Antagonization of IL-17A Attenuates Skin Inflammation and Vascular Dysfunction in Mouse Models of Psoriasis

EP-PINNs: Cardiac Electrophysiology Characterisation Using Physics-Informed Neural Networks

Pentaerythritol Tetranitrate In Vivo Treatment Improves Oxidative Stress and Vascular Dysfunction by Suppression of Endothelin-1 Signaling in Monocrotaline-Induced Pulmonary Hypertension

A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations

Nitroglycerin induces DNA damage and vascular cell death in the setting of nitrate tolerance

Fast sampling of parameterised Gaussian random fields

Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators

On Multilevel Best Linear Unbiased Estimators

Multilevel Sequential^sup 2^ Monte Carlo for Bayesian inverse problems

Multilevel Sequential2 Monte Carlo for Bayesian inverse problems

Error Analysis for Probabilities of Rare Events with Approximate Models

Multilevel Estimation of Rare Events

On the convergence of generalized polynomial chaos expansions

A KRONECKER PRODUCT PRECONDITIONER FOR STOCHASTIC GALERKIN FINITE ELEMENT DISCRETIZATIONS

Bayesian inference with subset simulation in varying dimensions applied to the Karhunen–Loève expansion

Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients

Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth

STOCHASTIC GALERKIN MATRICES

Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems

Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods

Erratum: Preconditioning Stochastic Galerkin Saddle Point Systems

Preconditioning Stochastic Galerkin Saddle Point Systems

Computational aspects of the stochastic finite element method

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