High-Dimensional Partial Differential Equations in Science and Engineering (Crm Proceedings and Lecture Notes, 41) - Softcover

Andre Bandrauk

Softcover

ISBN 10: 0821838539 ISBN 13: 9780821838532

Publisher: American Mathematical Society, 2007

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2007
• Language: English
• ISBN 10: 0821838539
• ISBN 13: 9780821838532
• Binding: Paperback
• Number of pages: 194
• Editor: Andre Bandrauk, Michel C. Delfour, Claude Le Bris