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.