6 citations · 6 across the 2 of their papers we have counts for
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math.NA2026
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-…
math.NA2026
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…
math.NA2022★ 6 cited
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…