The meeting took place at the Centre de recherches mathematiques of the Universite de Montreal from August 7 to 12, 2005--Pref.

Includes bibliographical references.

Singularity-free methods for the time-dependent Schrodinger equation for nonlinear molecules in intense laser fields -- A non-perturbative approach ; Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry ; Some fundamental mathematical properties in atomic and molecular quantum mechanics ; Sparse tensor-product Fokker-Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions ; A partial differential equation for credit derivatives pricing ; A short review on computational issues arising in relativistic atomic and molecular physics ; Model Hamiltonians in density functional theory ; Simulation of quantum-classical dynamics by surface-hopping trajectories ; Simulating realistic and nonadiabatic chemical dynamics: Application to photochemistry and electron transfer reactions ; A Maxwell-Schrodinger model for non-perturbative laser-molecule interaction and some methods of numerical computation ; Parareal in time algorithm for kinetic systems based on model reduction