%0 Journal Article %A Carpio Rodríguez, Ana María %A Duro, Gema %T Instability and Collapse in Discrete Wave Equations %D 2005 %@ 1609-9389 %@ 1609-4840 %U https://hdl.handle.net/20.500.14352/94351 %X Unstable 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. %~