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High-Dimensional Partial Differential Equations in Science and Engineering
About this Title
André Bandrauk, Université de Sherbrooke, Sherbrooke, QC, Canada, Michel C. Delfour, Université de Montréal, Montréal, QC, Canada and Claude Le Bris, INRIA Rocquencourt, Le Chesnay, France, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2007; Volume 41
ISBNs: 978-0-8218-3853-2 (print); 978-1-4704-3955-2 (online)
DOI: https://doi.org/10.1090/crmp/041
MathSciNet review: MR2307982
MSC: Primary 81-06; Secondary 35-06, 35Qxx, 65-06, 82-06, 92-06
ReadershipTable of Contents
Front/Back Matter
Chapters
- Singularity-free methods for the time-dependent Schrödinger 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-Schrödinger model for non-perturbative laser-molecule interaction and some methods of numerical computation
- Parareal in time algorithm for kinetic systems based on model reduction