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These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers Computational and Asymptotic Methods, which was held from 28th July to 1st August 2008 at the University of Limerick, Ireland. The ?rst three BAIL conferences (1980, 1982, 1984) were organised by Professor John Miller in Trinity College Dublin, Ireland. The next seven were held in Novosibirsk (1986), Shanghai (1988), Colorado (1992), Beijing (1994), Perth (2002), Toulouse(2004), and Got ] tingen(2006).With BAIL 2008the series returned to Ireland. BAIL 2010 is planned for...