Instability and Collapse in Discrete Wave Equations

Carpio Rodríguez, Ana MaríaDuro, Gema2024-01-222024-01-222005-01-011609-93891609-484010.2478/cmam-2005-0011https://hdl.handle.net/20.500.14352/94351Unstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are contrasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Instability and Collapse in Discrete Wave Equationsjournal articlehttps://www.degruyter.com/document/doi/10.2478/cmam-2005-0011/htmlopen accessNonlinear oscillatorsDiscrete wave equationsMethod of linesInstabilityCollapseBlow-upConservative modelsAnálisis numérico1206 Análisis Numérico