4 citations · 6 across the 11 of their papers we have counts for
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A numerical method for solving the generalized tangent vector of hyperbolic systems
Michael Herty, Yizhou Zhou
This work is concerned with the computation of the first-order variation for one-dimensional hyperbolic partial differential equations. In the case of shock waves the main challeng…
An Asymptotic-Preserving Scheme for Isentropic Flow in Pipe Networks
Michael Redle, Michael Herty
We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high frict…
Numerical Boundary Control of Multi-Dimensional Hyperbolic Equations
Michael Herty, Kai Hinzmann, Siegfried Müller +1
Existing theoretical stabilization results for linear, hyperbolic multi-dimensional problems are extended to the discretized multi-dimensional problems. In contrast to existing the…
A multiscale Consensus-Based algorithm for multi-level optimization
Michael Herty, Yuyang Huang, Dante Kalise +1
A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the pr…
Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes
Shaoshuai Chu, Michael Herty, Alexander Kurganov
We introduce local characteristic decomposition based path-conservative central-upwind schemes for (nonconservative) hyperbolic systems of balance laws. The proposed schemes are ma…
On the relation between approaches for boundary feedback control of hyperbolic systems
Michael Herty, Ferdinand Thein
Stabilization of partial differential equations is a topic of utmost importance in mathematics as well as in engineering sciences. Concerning one dimensional problems there exists…