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math.NA2026
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-…
math.NA2026
Discontinuous Galerkin schemes for multi-dimensional coupled hyperbolic systems
Niklas Kolbe, Siegfried Müller, Aleksey Sikstel
A novel class of Runge-Kutta discontinuous Galerkin schemes for coupled systems of conservation laws in multiple space dimensions that are separated by a fixed sharp interface is i…