1. Linear algebra algorithms as dynamical systems Moody T. Chu; 2. Accurate and efficient expression evaluation and linear algebra James Demmel, Ioana Dumitriu, Olga Holtz and Plamen Koev; 3. Asymptotic and numerical homogenization B. Engquist and P. E. Souganidis; 4. Interior-point methods for optimization Arkadi S. Nemirovski and Michael J. Todd; 5. Greedy approximation V. N. Temlyakov.