The numerical Earth Sciences community meets every two years at an international workshop in order to discuss numerical techniques, investigate exciting new avenues, foster collaboration, and introduce students to the interesting challenges of mantle and lithosphere modelling. The 2013 workshop will be held in Hønefoss, Norway, and include these scientific themes: Numerical techniques; Subduction dynamics; Linking surface and deep processes; Geophysics, chemistry and dynamics of planetary interiors; Multi-scale physics of the crust and lithosphere.