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math.NA2025
New Fully Discrete Active Flux Methods with Truly Multi-Dimensional Evolution Operators and WENO Reconstruction
Amelie Porfetye, Zhuyan Tang, Shaoshuai Chu +2
We propose new fully discrete third-order accurate Active Flux and WENO methods based on truly multidimensional evolution operators for the two-dimensional acoustic equations. Buil…
math.NA2025
A Fully Discrete Truly Multidimensional Active Flux Method For The Two-Dimensional Euler Equations
Erik Chudzik, Christiane Helzel, Amelie Porfetye
The Active Flux method is a finite volume method for hyperbolic conservation laws that uses both cell averages and point values as degrees of freedom. Several versions of such meth…