1. Topics in structure - preserving discretization Snorre H. Christiansen, Hans Z. Munthe-Kaas and Brynjulf Owren; 2. Mathematical and computational methods for semiclassical Schroedinger equations Shi Jin, Peter Markowich and Christof Sparber; 3. Tsunami modelling with adaptively refined finite volume methods Randall J. LeVeque, David L. George and Marsha J. Berger; 4. Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs Christoph Schwab and Claude Jeffrey Gittelson; 5. Numerical algebraic geometry and algebraic kinematics Charles W. Wampler and Andrew J. Sommese; 6. Variationally consistent discretization schemes and numerical algorithms for contact problems Barbara Wohlmuth.