High-Dimensional Partial Differential Equations in Science and Engineering (Paperback)

Singularity-free methods for the time-dependent Schrodinger equation for nonlinear molecules in intense laser fields--A non-perturbative approach by A. D. Bandrauk and H. Lu Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry by E. Cances, C. Le Bris, Y. Maday, N. C. Nguyen, A. T. Patera, and G. S. H. Pau Some fundamental mathematical properties in atomic and molecular quantum mechanics by G. Chen, Z. Ding, A. Perronnet, M. O. Scully, R. Xie, and Z. Zhang Sparse tensor-product Fokker-Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions by P. Delaunay, A. Lozinski, and R. G. Owens A partial differential equation for credit derivatives pricing by M. Escobar and L. Seco A short review on computational issues arising in relativistic atomic and molecular physics by M. J. Esteban Model Hamiltonians in density functional theory by P. Gori-Giorgi, J. Toulouse, and A. Savin Simulation of quantum-classical dynamics by surface-hopping trajectories by H. Kim and R. Kapral Simulating realistic and nonadiabatic chemical dynamics: Application to photochemistry and electron transfer reactions by D. M. Koch, Q. K. Timerghazin, and G. H. Peslherbe A Maxwell-Schrodinger model for non-perturbative laser-molecule interaction and some methods of numerical computation by E. Lorin, S. Chelkowski, and A. Bandrauk Parareal in time algorithm for kinetic systems based on model reduction by Y. Maday.