Stability and space/time convergence of Störmer-Verlet time integration of the mixed formulation of linear wave equations.

Bibliographic Details
Title: Stability and space/time convergence of Störmer-Verlet time integration of the mixed formulation of linear wave equations.
Authors: Chabassier, Juliette1 juliette.chabassier@inria.fr
Source: ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Jul/Aug2024, Vol. 58 Issue 4, p1441-1460. 20p.
Subject Terms: *LINEAR equations, *WAVE equation
Abstract: This work focuses on the mixed formulation of linear wave equations. It provides a proof of stability and convergence of time discretisation of a semi discrete linear wave equation in mixed form with Störmer-Verlet time integration, that is uniform as the time step reaches its largest allowed value for stability (Courant-Friedrich-Levy condition), contrary to the proofs recalled here from the literature. [ABSTRACT FROM AUTHOR]
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Database: Academic Search Complete
More Details
ISSN:28227840
DOI:10.1051/m2an/2024047
Published in:ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN)
Language:English