High-dimensional partial differential equations in science and engineering
- Providence, R.I. : American Mathematical Society, c2007.
- 1 online resource (xiv, 194 p. : ill.)
- CRM Proceedings and Lecture Notes, v. 41 2472-4890 .
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
9781470439552 (online)
Differential equations, Partial
Engineering mathematics
Science
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
9781470439552 (online)
Differential equations, Partial
Engineering mathematics
Science