8 papers
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 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…
High-Order Schemes for Hyperbolic Conservation Laws Using Young Measures
Shaoshuai Chu, Michael Herty
We develop high-order numerical schemes to solve random hyperbolic conservation laws using linear programming. The proposed schemes are high-order extensions of the existing first-…
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…
Solving Random Hyperbolic Conservation Laws Using Linear Programming
Shaoshuai Chu, Michael Herty, Maria Lukacova-Medvidova +1
A novel structure-preserving numerical method to solve random hyperbolic systems of conservation laws is presented. The method uses a concept of generalized, measure-valued solutio…