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09/10/2023
Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness
Directed bacterial motion due to external stimuli (chemotaxis) can, on t...
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07/14/2023
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem
Computational methods for thermal radiative transfer problems exhibit hi...
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06/28/2023
A well-balanced semi-implicit IMEX finite volume scheme for ideal Magnetohydrodynamics at all Mach numbers
We propose a second-order accurate semi-implicit and well-balanced finit...
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02/11/2022
Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency
We consider a kinetic description of a multi-species gas mixture modeled...
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12/06/2021
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity
We present a numerical approximation of the solutions of the Euler equat...
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08/05/2021
On the Active Flux scheme for hyperbolic PDEs with source terms
The Active Flux scheme is a Finite Volume scheme with additional point v...
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05/04/2020
High order discretely well-balanced finite volume methods for Euler equations with gravity – without any à priori information about the hydrostatic solution
We introduce novel high order well-balanced finite volume methods for th...
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04/08/2020
Exact solution and the multidimensional Godunov scheme for the acoustic equations
The acoustic equations derived as a linearization of the Euler equations...
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04/03/2020
Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers
We propose two novel two-state approximate Riemann solvers for the compr...
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12/19/2019
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
We present an implicit-explicit well-balanced finite volume scheme for t...
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09/21/2019
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations
We propose an explicit, single step discontinuous Galerkin (DG) method o...
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07/19/2019
An all speed second order IMEX relaxation scheme for the Euler equations
We present an implicit-explicit finite volume scheme for the Euler equat...
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06/21/2019