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23 papers · 2 filters
Adaptive Low-Rank Methods for Problems on Sobolev Spaces with Error Control in
Markus Bachmayr, Wolfgang Dahmen
Low-rank tensor methods for the approximate solution of second-order elliptic partial differential equations in high dimensions have recently attracted significant attention. A cri…
High-order well-balanced finite-volume schemes for barotropic flows. Development and numerical comparisons
Normann Pankratz, Jostein R. Natvig, Bjørn Gjevik +1
In this paper we compare a classical finite-difference and a high order finite- volume scheme for barotropic ocean flows. We compare the schemes with respect to their accuracy, sta…
A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
Sebastian Noelle, Georgij Binev, K. R. Arun +2
We propose a low Mach number, Godunov-type finite volume scheme for the numerical solution of the compressible Euler equations of gas dynamics. The scheme combines Klein's non-stif…
Flux Splitting for stiff equations: A notion on stability
Jochen Schütz, Sebastian Noelle
For low Mach number flows, there is a strong recent interest in the development and analysis of IMEX (implicit/explicit) schemes, which rely on a splitting of the convective flux i…
On Third-Order Limiter Functions for Finite Volume Methods
Birte Schmidtmann, Rémi Abgrall, Manuel Torrilhon
In this article, we propose a finite volume limiter function for a reconstruction on the three-point stencil. Compared to classical limiter functions in the MUSCL framework, which…
Sensitivity analysis for dose deposition in radiotherapy via a Fokker-Planck model
Richard C. Barnard, Martin Frank, Kai Krycki
In this paper we study the sensitivities of electron dose calculations with respect to the stopping power and the transport coefficients. We focus on the application to radiotherap…