Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations

DOI10.1051/m2an/2019079zbMath1437.65091OpenAlexW2785018204MaRDI QIDQ5108960

Sebastien Imperiale, Juliette Chabassier, Julien Diaz

Publication date: 7 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01894238v2/file/main.pdf

zbMATH Keywords

energy analysisdissipative linear wave equationhigh-order time discretisation

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Spherical harmonics (33C55)

Related Items (4)

Construction and convergence analysis of conservative second order local time discretisation for linear wave equations ⋮ On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations ⋮ On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation ⋮ On higher-order compact ADI schemes for the variable coefficient wave equation

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