3 papers
math.NA2026
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner +3
The Active Flux method is a numerical method for conservation laws using a combination of cell averages and point values as independent degrees of freedom, based on ideas from fini…
math.NA2025
A generalized Active Flux method of arbitrarily high order in two dimensions
Wasilij Barsukow, Praveen Chandrashekar, Christian Klingenberg +1
The Active Flux method can be seen as an extended finite volume method. The degrees of freedom of this method are cell averages, as in finite volume methods, and in addition shared…
math.NA2025
Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform
Wasilij Barsukow, Janina Kern, Christian Klingenberg +1
The degrees of freedom of Active Flux are cell averages and point values along the cell boundaries. These latter are shared between neighbouring cells, which gives rise to a global…