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08/21/2023
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
We consider a general linear parabolic problem with extended time bounda...
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11/18/2021
A Consistent Quasi-Second Order Staggered Scheme for the Two-Dimensional Shallow Water Equations
A quasi-second order scheme is developed to obtain approximate solutions...
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06/11/2021
Finite volume schemes and Lax-Wendroff consistency
We present a (partial) historical summary of the mathematical analysis o...
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03/17/2021
Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes
We prove in this paper the weak consistency of a general finite volume c...
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10/16/2020
Modelling of a spherical deflagration at constant speed
We build in this paper a numerical solution procedure to compute the flo...
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03/12/2020
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems
In this paper, we present a class of finite volume schemes for incompres...
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10/09/2019
Conservativity And Weak Consistency Of A Class Of Staggered Finite Volume Methods For The Euler Equations
We address a class of schemes for the Euler equations with the following...
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06/26/2019