output
20232026
most citedMultivariate extensions of the Multilevel Best Linear Unbiased Estimator for ensemble-variational data assimilation

8 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

5 papers

math.NA2026

Neural Network Preconditioning: A Case Study for the Solution of the Parametric Helmholtz Equation

Luc Giraud, Carola Kruse, Paul Mycek +2

This work presents a hybrid numerical approach for solving linear systems arising from the discretization of the two-dimensional parametric Helmholtz equation. A convolutional neur…

math.NA2025

Error Estimates for Sparse Tensor Products of B-spline Approximation Spaces

Clément Guillet

This work introduces and analyzes B-spline approximation spaces defined on general geometric domains obtained through a mapping from a parameter domain. These spaces are constructe…

cs.MS2025★ 1 cited

Memory- and compute-optimized geometric multigrid GMGPolar for curvilinear coordinate representations -- Applications to fusion plasma

Julian Litz, Philippe Leleux, Carola Kruse +2

Tokamak fusion reactors are actively studied as a means of realizing energy production from plasma fusion. However, due to the substantial cost and time required to construct fusio…

math.ST2023★ 1 cited

Multilevel Surrogate-based Control Variates

Mohamed Reda El Amri, Paul Mycek, Sophie Ricci +1

Monte Carlo (MC) sampling is a popular method for estimating the statistics (e.g. expectation and variance) of a random variable. Its slow convergence has led to the emergence of a…

stat.ME2023★ 8 cited

Multivariate extensions of the Multilevel Best Linear Unbiased Estimator for ensemble-variational data assimilation

Mayeul Destouches, Paul Mycek, Selime Gürol

Multilevel estimators aim at reducing the variance of Monte Carlo statistical estimators, by combining samples generated with simulators of different costs and accuracies. In parti…