CRM Proceedings & Lecture Notes
Volume: 41; 2007; 194 pp; Softcover
MSC: Primary 65; 35; Secondary 76
Print ISBN: 978-0-8218-3853-2
Product Code: CRMP/41
List Price: $86.00
Individual Member Price: $68.80
High-Dimensional Partial Differential Equations in Science and EngineeringShare this page
Edited by André Bandrauk; Michel C. Delfour; Claude Le Bris
A co-publication of the AMS and Centre de Recherches Mathématiques
High-dimensional spatio-temporal partial differential equations are a
major challenge to scientific computing of the future. Up to now
deemed prohibitive, they have recently become manageable by combining
recent developments in numerical techniques, appropriate computer
implementations, and the use of computers with parallel and even
massively parallel architectures. This opens new perspectives in many
fields of applications. Kinetic plasma physics equations, the many
body Schrödinger equation, Dirac and Maxwell equations for
molecular electronic structures and nuclear dynamic computations,
options pricing equations in mathematical finance, as well as
Fokker–Planck and fluid dynamics equations for complex fluids,
are examples of equations that can now be handled.
The objective of this volume is to bring together contributions by experts of international stature in that broad spectrum of areas to confront their approaches and possibly bring out common problem formulations and research directions in the numerical solutions of high-dimensional partial differential equations in various fields of science and engineering with special emphasis on chemistry and physics.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
High-Dimensional Partial Differential Equations in Science and Engineering
Graduate students and research mathematicians interested in numerical solutions of high-dimensional PDE's.