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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…
math.NA2026
High-dimensional stochastic finite volumes using the tensor train format
Juliette Dubois, Michael Herty, Siegfried Müller
A method for the uncertainty quantification of nonlinear hyperbolic conservation laws with many uncertain parameters is presented. The method combines stochastic finite volume meth…
math.NA2024
A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
Niklas Kolbe, Siegfried Müller
A recently developed coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this p…