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This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.

Differential equations, Partial --- Asymptotic theory in partial differential equations --- Asymptotic expansions --- Asymptotic theory. --- Numerical analysis. --- Differential equations, partial. --- Computer science. --- Numerical Analysis. --- Partial Differential Equations. --- Computational Science and Engineering. --- Informatics --- Science --- Partial differential equations --- Mathematical analysis --- Partial differential equations. --- Computer mathematics. --- Computer mathematics --- Electronic data processing --- Mathematics