Author

Michael Herty

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Preprint Sep 2026

Sensitivity Calculus and its Numerical Implementation for Multi-D Hyperbolic Balance Laws

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-order sensitivity information is essential in gradient-based optimization and inverse problems constrained by hyperbolic balance laws. In hy...

Olivia Dreßen, Michael Herty, Adrian Kolb et al. · 0 citations

Preprint Sep 2026

Numerical Realization of an Entropy-Based Selection Principle in the Example of Kelvin-Helmholtz Instability

In this paper, we extend numerical schemes based on parameterized Young measures and linear programming to two space dimensions and apply them to the Kelvin-Helmholtz instability governed by the two-dimensional Euler equations of gas dynamics. We construct first-, second-, third-, fifth-, seventh-, and ninth-order Youn...

Shao-Shuai Chu, Michael Herty · 0 citations