Analysis and Numerics of Partial Differential Equations

1. Personal Memories
Franco Brezzi

2. Some Aspects of the Research of Enrico Magenes in Partial Differential Equations
Giuseppe Geymonat

3. Enrico Magenes and the Dam Problem
Claudio Baiocchi

4. Inverse Problems in Electrocardiology
Piero ColliFranzone

5. Stefan Problems and Numerical Analysis
Claudio Verdi

6. Enrico Magenes and the Teaching of Mathematics
Mario Ferrari

7. List of Mathematical Works Authored or Edited by Enrico Magenes
Ugo Gianazza

8. Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Case
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré

9. Spaces of Finite Element Differential Forms
Douglas N. Arnold

10. A Priori Bounds for Solutions of a Nonlocal Evolution PDE
Luis Caffarelli, Enrico Valdinoci

11. On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems
Claudio Canuto, Marco Verani

12. A Theory and Challenges for Coarsening in Microstructure
Katayun Barmak, Eva Eggeling, Maria Emelianenko, Yekaterina Epshteyn, David Kinderlehrer, Richard Sharp, Shlomo Ta’asan

13. A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation
Yvon Maday, Olga Mula

14. Analysis and Numerics of Some Fractal Boundary Value Problems
Umberto Mosco

15. AFEM for Geometric PDE: The Laplace-Beltrami Operator
Andrea Bonito, J. Manuel Cascón, Pedro Morin, Ricardo H. Nochetto

16. Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs
Toni Lassila, Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza

17. Variational Formulation of Phase Transitions with Glass Formation
Augusto Visintin

Keywords: Mathematics, Partial Differential Equations, Computational Mathematics and Numerical Analysis, Calculus of Variations and Optimal Control, Optimization