An explicit stable numerical scheme for the \(1D\) transport equation

DOI10.3934/DCDSS.2012.5.641zbMath1244.65131OpenAlexW2333471721MaRDI QIDQ428421

Yohan Penel

Publication date: 22 June 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.641

zbMATH Keywords

stabilitymaximum principlenumerical examplesmethod of characteristicstransport equationslinear advection equation

Mathematics Subject Classification ID

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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for first-order hyperbolic systems (35L45)

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