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06/05/2023
Truly multi-dimensional all-speed methods for the Euler equations
Several recent all-speed time-explicit numerical methods for the Euler e...
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03/23/2023
Implicit Active Flux methods for linear advection
In this work we develop implicit Active Flux schemes for the scalar adve...
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01/29/2023
All-speed numerical methods for the Euler equations via a sequential explicit time integration
This paper presents a new strategy to deal with the excessive diffusion ...
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12/05/2022
A well-balanced Active Flux method for the shallow water equations with wetting and drying
Active Flux is a third order accurate numerical method which evolves cel...
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08/30/2022
A hybrid finite element - finite volume method for conservation laws
We propose an arbitrarily high-order accurate numerical method for conse...
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08/30/2022
Extensions of Active Flux to arbitrary order of accuracy
Active Flux is a recently developed numerical method for hyperbolic cons...
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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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05/27/2021
Approximate evolution operators for the Active Flux method
This work focuses on the numerical solution of hyperbolic conservations ...
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03/03/2021
Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids
Finite volume schemes often have difficulties to resolve the low Mach nu...
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11/19/2020
The Active Flux scheme for nonlinear problems
The Active Flux scheme is a finite volume scheme with additional point v...
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04/08/2020