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math.NA2024
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…
math.NA2024
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…
math.NA2024
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…