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20042023
most citedThe sphere packing problem in dimension 24

293 citations

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6 papers · 1 filter

math.NA2023★ 5 cited

Subsampling in ensemble Kalman inversion

Matei Hanu, Jonas Latz, Claudia Schillings

We consider the Ensemble Kalman Inversion which has been recently introduced as an efficient, gradient-free optimisation method to estimate unknown parameters in an inverse setting…

math.NA2020

Rigid continuation paths II. Structured polynomial systems

Peter Bürgisser, Felipe Cucker, Pierre Lairez

This work studies the average complexity of solving structured polynomial systems that are characterized by a low evaluation cost, as opposed to the dense random model previously u…

math.NA2018

On energy conservation by trigonometric integrators in the linear case with application to wave equations

Ludwig Gauckler

Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered. Under a condition of Hairer & Lubich on the filter functions in the method, a mo…

math.NA2018

Model Reduction for a Pulsed Detonation Combuster via Shifted Proper Orthogonal Decomposition

Philipp Schulze, Julius Reiss, Volker Mehrmann

We propose a new algorithm to compute a shifted proper orthogonal decomposition (sPOD) for systems dominated by multiple transport velocities. The sPOD is a recently proposed mode…

math.NA2016★ 1 cited

Adaptive Multilevel Monte Carlo Methods for Stochastic Variational Inequalities

Ralf Kornhuber, Evgenia Youett

While multilevel Monte Carlo (MLMC) methods for the numerical approximation of partial differential equations with random coefficients enjoy great popularity, combinations with spa…

math.NA2008★ 8 cited

Best subspace tensor approximations

S. Friedland, V. Mehrmann

In many applications such as data compression, imaging or genomic data analysis, it is important to approximate a given tensor by a tensor that is sparsely representable. For matri…