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This volume will contain selected papers from the lectures held at the BAIL 2010 Conference, which took place from July 5th to 9th, 2010 in Zaragoza (Spain). The papers present significant advances in the modeling, analysis and construction of efficient numerical methods to solve boundary and interior layers appearing in singular perturbation problems. Special emphasis is put on the mathematical foundations of such methods and their application to physical models. Topics in scientific fields such as fluid dynamics, quantum mechanics, semiconductor modeling, control theory, elasticity, chemical reactor theory, and porous media are examined in detail.

Boundary layer -- Congresses. --- Boundary layer. --- Boundary value problems -- Asymptotic theory -- Congresses. --- Boundary value problems. --- Boundary layer --- Boundary value problems --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematics - General --- Asymptotic theory --- Computational steering (Computer science) --- Boundary conditions (Differential equations) --- Steering, Computational (Computer science) --- Mathematics. --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Fluid mechanics. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Computer programs --- Software visualization --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Execution --- Management --- Computer science --- Hydraulic engineering. --- Mathematical and Computational Engineering. --- Engineering, Hydraulic --- Fluid mechanics --- Hydraulics --- Shore protection