Jérôme Droniou is Associate Professor at Monash University, Australia. His research focuses on elliptic and parabolic PDEs. He has published many papers on theoretical and numerical analysis of models with singularities or degeneracies, including convergence analysis of schemes without regularity assumptions on the data or solutions.

Robert Eymard is professor of mathematics at Université Paris-Est Marne-la-Vallée. His research concerns the design and analysis of numerical methods, mainly applied to fluid flows in porous media and incompressible Navier-Stokes equations.

Thierry Gallouet is professor at the University of Aix-Marseille. His research focuses on the analysis of partial differential equations and the approximation of their solutions by numerical schemes.

Includes a complete convergence analysis of schemes for linear and non-linear PDEs, covering all standard boundary conditions for elliptic and parabolic models

Presents a unified analysis of many classical, and less classical, numerical methods, including an analysis of degenerate models

Provides very generic compactness results for stationary and time-dependent problems