9 citations · 9 across the 15 of their papers we have counts for
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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…
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation
Junming Duan, Wasilij Barsukow, Christian Klingenberg
The active flux (AF) method is a compact high-order finite volume method that simultaneously evolves cell averages and point values at cell interfaces. Within the method of lines f…
Local sensitivity-preserving random data down-sampling for experimental design
Kathrin Hellmuth, Christian Klingenberg, Qin Li
The quality of numerical reconstructions for unknown parameters in inverse problems depends fundamentally on the selection of experimental data. To ensure a robust reconstruction,…
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation: Two-dimensional case
Junming Duan, Wasilij Barsukow, Christian Klingenberg
This paper studies the active flux (AF) methods for two-dimensional hyperbolic conservation laws, focusing on the flux vector splitting (FVS) for the point value update and bound-p…
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation: One-dimensional case
Junming Duan, Wasilij Barsukow, Christian Klingenberg
The active flux (AF) method is a compact high-order finite volume method that evolves cell averages and point values at cell interfaces independently. Within the method of lines fr…
Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model
Luis Kaiser, Richard Tsai, Christian Klingenberg
In a variety of scientific and engineering domains, the need for high-fidelity and efficient solutions for high-frequency wave propagation holds great significance. Recent advances…