Compatible Spatial Discretizations

247 Seiten, Hardcover

Kurzbeschreibung des Verlags

This IMA Volume in Mathematics and its Apphcations COMPATIBLE SPATIAL DISCRETIZATIONS contains papers presented at a highly successful IMA Hot Topics Work­ shop: Compatible Spatial Discretizations for Partial Differential Equations. The event which was held on May 11-15, 2004 was organized by Douglas N. Arnold (IMA, University of Minnesota), Pavel B. Bochev (Computa­ tional Mathematics and Algorithms Department, Sandia National Labora­ tories), Richard B. Lehoucq (Computational Mathematics and Algorithms Department, Sandia National Laboratories), Roy A. Nicolaides (Depart­ ment of Mathematical Sciences, Carnegie-Mellon University), and Mikhail Shashkov (MS-B284, Group T-7, Theoretical Division, Los Alamos Na­ tional Laboratory). We are grateful to all participants and organizers for making this a very productive and stimulating meeting, and we would like to thank the organizers for their role in editing this proceeding. We take this opportunity to thank the National Science Foundation for its support of the IMA and the Department of Energy for providing additional funds to support this workshop. Series Editors Douglas N. Arnold, Director of the IMA Arnd Scheel, Deputy Director of the IMA PREFACE In May 2004 over 80 mathematicians and engineers gathered in Min­ neapolis for a "hot topics" IMA workshop to talk, argue and conjecture about compatibility of spatial discretizations for Partial Differential Equa­ tions. We define compatible, or mimetic, spatial discretizations as those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum princi­ ples.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Numerische Mathematik
• ISBN: 9780387309163
• Sprache: Englisch
• Erscheinungsdatum: 13.07.2006
• Größe: 236 x 155 mm
• Verlag: Springer New York
• Herausgegeben von: Roy A Nicolaides, Richard B Lehoucq, Mikhail Shashkov, Pavel B Bochev, Douglas N Arnold