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12/30/2022
Numerical challenges in the simulation of 1D bounded low-temperature plasmas with charge separation in various collisional regimes
We study a 1D geometry of a plasma confined between two conducting float...
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05/20/2022
Second-order uniformly asymptotic-preserving space-time-ImEx schemes for hyperbolic balance laws with stiff relaxation
We consider hyperbolic systems of conservation laws with relaxation sour...
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01/14/2022
Finite Difference formulation of any lattice Boltzmann scheme
Lattice Boltzmann schemes rely on the enlargement of the size of the tar...
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05/28/2021
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations
Multiresolution provides a fundamental tool based on the wavelet theory ...
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05/26/2021
Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?
We consider an adaptive multiresolution-based lattice Boltzmann scheme, ...
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03/04/2021
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
Lattice-Boltzmann methods are known for their simplicity, efficiency and...
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02/24/2021
Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws
Lattice Boltzmann Methods (LBM) stand out for their simplicity and compu...
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07/06/2020
Solid propellant combustion in the low Mach one-dimensional approximation: from an index-one differential-algebraic formulation to high-fidelity simulations through high-order
An unsteady one-dimensional model of solid propellant combustion, based ...
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12/26/2019
Travelling wave mathematical analysis and efficient numerical resolution for a one-dimensional model of solid propellant combustion
We investigate a model of solid propellant combustion involving surface ...
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11/06/2019
Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using comput
In the present contribution, we investigate first-order nonlinear system...
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09/22/2017