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$L^\infty$-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation

Abstract : In this paper, we propose a finite volume scheme for solving a two-dimensional convection-diffusion equation on general meshes. This work is based on a implicit-explicit (IMEX) second order method and it is issued from the seminal paper [2]. In the framework of MUSCL methods, we will prove that the local maximum property is guaranteed under an explicit Courant-Friedrichs-Levy condition and the classical hypothesis for the triangulation of the domain.
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Submitted on : Wednesday, August 16, 2017 - 6:47:32 PM
Last modification on : Wednesday, March 23, 2022 - 3:51:22 PM

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Caterina Calgaro, Meriem Ezzoug. $L^\infty$-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation. FVCA 2017: Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects, Jun 2017, Lille, France. pp.245-253, ⟨10.1007/978-3-319-57397-7_17⟩. ⟨hal-01574893⟩

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