Zobrazeno 1 - 10
of 625
pro vyhledávání: '"KLINGENBERG, CHRISTIAN"'
The numerical method of dynamical low-rank approximation (DLRA) has recently been applied to various kinetic equations showing a significant reduction of the computational effort. In this paper, we apply this concept to the linear Boltzmann-Bhatnagar
Externí odkaz:
http://arxiv.org/abs/2411.06844
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation
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 framework, the existing Jacobian splitting-based point value update inc
Externí odkaz:
http://arxiv.org/abs/2411.00065
Numerically the reconstructability of unknown parameters in inverse problems heavily relies on the chosen data. Therefore, it is crucial to design an experiment that yields data that is sensitive to the parameters. We approach this problem from the p
Externí odkaz:
http://arxiv.org/abs/2409.15906
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-preserving (BP) limitings, which is an extension of our previous work [
Externí odkaz:
http://arxiv.org/abs/2407.13380
We develop a second-order accurate central scheme for the two-dimensional hyperbolic system of in-homogeneous conservation laws. The main idea behind the scheme is that we combine the well-balanced deviation method with the Kurganov-Tadmor (KT) schem
Externí odkaz:
http://arxiv.org/abs/2406.07185
In this paper, we propose a new MUSCL scheme by combining the ideas of the Kurganov and Tadmor scheme and the so-called Deviation method which results in a well-balanced finite volume method for the hyperbolic balance laws, by evolving the difference
Externí odkaz:
http://arxiv.org/abs/2405.08549
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 framework, the point value can be updated based on Jacobian splitting (J
Externí odkaz:
http://arxiv.org/abs/2405.02447
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 in wave modeling use sufficiently accurate fine solver outputs to tra
Externí odkaz:
http://arxiv.org/abs/2402.02304
Active Flux is an extension of the Finite Volume method and additionally incorporates point values located at cell boundaries. This gives rise to a globally continuous approximation of the solution. The method is third-order accurate. We demonstrate
Externí odkaz:
http://arxiv.org/abs/2310.00683
Bacterial motion is steered by external stimuli (chemotaxis), and the motion described on the mesoscopic scale is uniquely determined by a parameter $K$ that models velocity change response from the bacteria. This parameter is called chemotaxis kerne
Externí odkaz:
http://arxiv.org/abs/2309.05004