Search Results - "ULLMANN, ELISABETH"
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Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems
Published in Mathematics of computation (01-11-2017)“…multilevel Quasi-Monte Carlo finite element discretisations and give a constructive proof of the dimension-independent convergence of the QMC rules. More…”
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Effects of noise on vascular function, oxidative stress, and inflammation: mechanistic insight from studies in mice
Published in European heart journal (01-10-2017)“…Epidemiological studies indicate that traffic noise increases the incidence of coronary artery disease, hypertension and stroke. The underlying mechanisms…”
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Antagonization of IL-17A Attenuates Skin Inflammation and Vascular Dysfunction in Mouse Models of Psoriasis
Published in Journal of investigative dermatology (01-03-2019)“…Besides skin inflammation, patients with severe psoriasis suffer from an increased risk of cardiovascular mortality. IL-17A plays a central role in the…”
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EP-PINNs: Cardiac Electrophysiology Characterisation Using Physics-Informed Neural Networks
Published in Frontiers in cardiovascular medicine (03-02-2022)“…Accurately inferring underlying electrophysiological (EP) tissue properties from action potential recordings is expected to be clinically useful in the…”
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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
Published in Oxidative medicine and cellular longevity (01-01-2017)“…Objective. Oxidative stress and endothelial dysfunction contribute to pulmonary arterial hypertension (PAH). The role of the nitrovasodilator pentaerythritol…”
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Nitroglycerin induces DNA damage and vascular cell death in the setting of nitrate tolerance
Published in Basic research in cardiology (01-07-2016)“…Nitroglycerin (GTN) and other organic nitrates are widely used vasodilators. Their side effects are development of nitrate tolerance and endothelial…”
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Uncertainty quantification analysis of bifurcations of the Allen–Cahn equation with random coefficients
Published in Physica. D (01-12-2024)“…In this work we consider the Allen–Cahn equation, a prototypical model problem in nonlinear dynamics that exhibits bifurcations corresponding to variations of…”
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Fast sampling of parameterised Gaussian random fields
Published in Computer methods in applied mechanics and engineering (01-05-2019)“…Gaussian random fields are popular models for spatially varying uncertainties, arising for instance in geotechnical engineering, hydrology or image processing…”
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Multilevel Sequential2 Monte Carlo for Bayesian inverse problems
Published in Journal of computational physics (01-09-2018)“…The identification of parameters in mathematical models using noisy observations is a common task in uncertainty quantification. We employ the framework of…”
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Multilevel Sequential^sup 2^ Monte Carlo for Bayesian inverse problems
Published in Journal of computational physics (01-09-2018)“…The identification of parameters in mathematical models using noisy observations is a common task in uncertainty quantification. We employ the framework of…”
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Bayesian inference with subset simulation in varying dimensions applied to the Karhunen–Loève expansion
Published in International journal for numerical methods in engineering (30-09-2021)“…Uncertainties associated with spatially varying parameters are modeled through random fields discretized into a finite number of random variables. Standard…”
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Computational aspects of the stochastic finite element method
Published in Computing and visualization in science (01-03-2007)Get full text
Conference Proceeding Journal Article -
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Uncertainty quantification analysis of bifurcations of the Allen--Cahn equation with random coefficients
Published 06-04-2024“…In this work we consider the Allen--Cahn equation, a prototypical model problem in nonlinear dynamics that exhibits bifurcations corresponding to variations of…”
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14
Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators
Published 07-12-2020“…We study the computational complexity and variance of multilevel best linear unbiased estimators introduced in [D. Schaden and E. Ullmann, SIAM/ASA J. Uncert…”
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Basic in vitro Characterization of the Vasodilatory Potential of 2-Aminoethyl Nitrate Fixed-Dose Combinations with Cilostazol, Metoprolol and Valsartan
Published in Pharmacology (01-01-2018)“…2-aminoethyl nitrate (CLC-1011) is a member of the class of organic nitrates that cause vasodilation by the generation of nitric oxide (•NO). These drugs are…”
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Consensus-based rare event estimation
Published 18-04-2023“…In this paper, we introduce a new algorithm for rare event estimation based on adaptive importance sampling. We consider a smoothed version of the optimal…”
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Expansion of random field gradients using hierarchical matrices
Published in Proceedings in applied mathematics and mechanics (01-12-2011)“…We present two expansions for the gradient of a random field. In the first approach, we differentiate its truncated Karhunen‐Loève expansion. In the second…”
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The ensemble Kalman filter for rare event estimation
Published 18-06-2021“…We present a novel sampling-based method for estimating probabilities of rare or failure events. Our approach is founded on the Ensemble Kalman filter (EnKF)…”
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Certified and fast computations with shallow covariance kernels
Published 12-11-2020“…Foundations of Data Science 2(4): 487-512, 2020 Many techniques for data science and uncertainty quantification demand efficient tools to handle Gaussian…”
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Error analysis for probabilities of rare events with approximate models
Published 14-08-2020“…The estimation of the probability of rare events is an important task in reliability and risk assessment. We consider failure events that are expressed in…”
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