4 citations · 6 across the 11 of their papers we have counts for
7 papers · 1 filter
Numerical Realization of an Entropy-Based Selection Principle in the Example of Kelvin-Helmholtz Instability
Shaoshuai Chu, Michael Herty
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 g…
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-…
Entropy-Based Local Characteristic Decomposition
Shaoshuai Chu, Michael Herty, Alexander Kurganov
Local characteristic decomposition (LCD) is widely used in high-order numerical methods for hyperbolic systems of conservation laws to reduce spurious oscillations appearing in the…
New Scheme Adaption Strategy for Hyperbolic Conservation Laws
Shaoshuai Chu, Michael Herty, Alexander Kurganov
We introduce a new scheme adaption strategy for one- and two-dimensional hyperbolic systems of conservation laws. The proposed approach builds upon the adaptive framework introduce…
A Comparative Study of Low-Dissipation Numerical Schemes for Hyperbolic Conservation Laws
Shaoshuai Chu, Michael Herty
This work provides a comparative assessment of several low-dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical…
A Bayesian Approach to Feedback Control for Hyperbolic Balance Laws
Markus Bambach, Shaoshuai Chu, Michael Herty +1
We propose a Bayesian framework for feedback boundary control of hyperbolic balance laws. The method propagates a probability distribution over feedback parameters using Lyapunov d…
Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics
Shaoshuai Chu, Michael Herty, Alexander Kurganov +2
We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-, and ninth-order local characteristic decomposit…