1. The heterogeneous multiscale method Assyr Abdulle, Weinan E, Björn Engquist and Eric Vanden-Eijnden; 2. Numerical-asymptotic boundary integral methods in high frequency acoustic scattering Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon and Euan A. Spence; 3. Mathematical cancer therapy planning in deep regional hyperthermia Peter Deuflhard, Anton Schiela and Martin Weiser; 4. High performance computing systems: status and outlook J. J. Dongarra and A. J. van der Steen; 5. Secrets of image denoising cuisine M. Lebrun, M. Colom, A. Buades and J. M. Morel; 6. Pricing futures with deterministic methods Olivier Pironneau.