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This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly.  Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems.  The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Multiscale modeling --- Finite element method --- Wavelets (Mathematics) --- Mathematical physics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Sciences - General --- Mathematical Theory --- Operations Research --- Applied Mathematics --- Multi-scale modeling --- Multiscale models --- Mathematics. --- Computer mathematics. --- Numerical analysis. --- Mathematical models. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Numerical Analysis. --- Computational Science and Engineering. --- Computational Mathematics and Numerical Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Numerical and Computational Physics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Models, Mathematical --- Simulation methods --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematical models --- Multivariate analysis --- Computer science. --- Computer science --- Mathematical and Computational Engineering. --- Numerical and Computational Physics, Simulation. --- Informatics --- Mathematical physics. --- Mathematical and Computational Engineering Applications. --- Theoretical, Mathematical and Computational Physics. --- Data processing. --- Physical mathematics --- Physics

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The 2008 global financial and economic crisis led to a significant increase in unemployment rates in most developed economies, yet despite the rising supply of labor, a high share of employers claim that they cannot find the right talent and skills. Concerns that economic restructuring and changing skill needs associated with new technologies and workplace organization practices will not be met by an adequately skilled workforce, has placed the issue of skill mismatch the incongruence between skill supply and skill demand high up in the policy agenda. This volume contains eleven original research articles which deal with the linkages between education and skills and the causes and consequences of different types of skill mismatch. Topics include the way graduate jobs can be defined, the labor market decisions and outcomes of graduates, the determinants of the overeducation wage penalty, the determinants and consequences of underskilling, the wage return of skills, the impact of skill mismatch on aggregate productivity, and the role of work-related training and job complexity on skill development.

Labour market --- Skilled labor --- Labor market --- E-books --- Labor market. --- Skilled labor. --- Labor --- Employees --- Market, Labor --- Supply and demand for labor --- Markets --- Supply and demand --- Supply and demand. --- Skilled labor - Supply and demand.

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This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques. The book has three parts. The first one is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of writing equivalent norms for the scale of Besov spaces allows to develop some new methods. The second part provides an overview of the modern finite-volume and finite-difference shock-capturing schemes for systems of conservation and balance laws, with emphasis on providing a unified view of such schemes by identifying the essential aspects of their construction. In the last part a general introduction is given to the discontinuous Galerkin methods for solving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates.

Differential equations, Partial -- Numerical solutions -- Congresses. --- Electronic books. -- local. --- Galerkin methods -- Congresses. --- Wavelets (Mathematics) -- Congresses. --- Calculus --- Applied Mathematics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Differential equations, Partial --- Wavelets (Mathematics) --- Galerkin methods --- Numerical solutions --- Sinc-Galerkin methods --- Sinc methods --- Mathematics. --- Partial differential equations. --- Numerical analysis. --- Numerical Analysis. --- Partial Differential Equations. --- Numerical analysis --- Differential equations, partial. --- Partial differential equations --- Mathematical analysis --- Differential equations, Partial.