Includes bibliographical references.

Personal memories / Franco Brezzi -- Some aspects of the research of Enrico Magenes in partial differential equations / Giuseppe Geymonat -- Enrico Magenes and the dam problem / Claudio Baiocchi -- Inverse problems in electrocardiology / Piero Colli Franzone -- Stefan problems and numerical analysis / Claudio Verdi -- Enrico Magenes and the teaching of mathematics / Mario Ferrari -- List of mathematical works authored or edited by Enrico Magenes / Ugo Gianazza -- Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case / Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré -- Spaces of finite element differential forms / Douglas N. Arnold -- A priori bounds for solutions of a nonlocal evolution PDE / Luis Caffarelli and Enrico Valdinoci -- On the numerical analysis of adaptive spectral/hp methods for elliptic problems / Claudio Canuto and Marco Verani -- A theory and challenges for coarsening in microstructure / Katayun Barmak, Eva Eggeling, Maria Emelianenko, Yekaterina Epshteyn, David Kinderlehrer, Richard Sharp, and Shlomo Ta̕asan -- A generalized empirical interpolation method: application of reduced basis techniques to data assimilation / Yvon Maday and Loga Mula -- Analysis and numerics of some fractal boundary value problems / Umberto Mosco -- AFEM for geometric PDE: the Laplace-Beltrami operator / Andrea Bonito, J. Manuel Cascón, Pedro Morin, and Ricardo H. Nochetto -- Generalized reduced basis methods and n-width estimates for the approximation of the solution manifold of parametric PDEs / Toni Lassila, Andrea Manzoni, Alfio Quarteroni, and Gianluigi Rozza -- Variational formulation of phase transitions with glass formation / Augusto Visintin.