6 citations · 6 across the 2 of their papers we have counts for
4 papers
Sensitivity Calculus and its Numerical Implementation for Multi-D Hyperbolic Balance Laws
Olivia Dreßen, Michael Herty, Adrian Kolb +1
We investigate the sensitivity of solutions to multi-dimensional scalar balance laws with respect to perturbations of the initial data analytically and numerically. Reliable first-…
MultiWave: A computational laboratory for adaptive numerical methods approximating hyperbolic balance laws
Adrian Kolb, Aleksey Sikstel
The MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws is presented. MultiWave has been designed as a computational laboratory where new m…
Radially symmetric solutions of the ultra-relativistic Euler equations in several space dimensions
Matthias Kunik, Adrian Kolb, Siegfried Müller +1
The ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure, the spatial part of the dimensionless four-velocity and the particle density. Radial…
Multiresolution-analysis for stochastic hyperbolic conservation laws
Michael Herty, Adrian Kolb, Siegfried Müller
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous G…