Layer adapted meshes for convection diffusion problems This is a book on numerical methods for singular perturbation problems in particular stationary convection dominated convection diffusion problems. More precisely it is devoted to the construction and analysis of layer adapted meshes underlying these numerical methods. An early important contribution towards the optimization of numerical methods by means of special meshes was made by N.S. Bakhvalov in 1969. His paper spawned a lively discussion in the literature with a number of further meshes being proposed and applied to various singular perturbation problems. However in the mid 1980s this development stalled but was enlivend again by G.I. Shishkins proposal of piecewise equidistant meshes in the early 1990s. Because of their very simple structure they are often much easier to analyse than other meshes although they give numerical approximations that are inferior to solutions on competing meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue. With this contribution we try to counter this development and lay the emphasis on more general meshes that apart from performing better than piecewise uniform meshes provide a much deeper insight in the course of their analysis...