Editors:
- Original contributions by researchers with a common interest in the problems, but with diverse mathematical expertise and perspective
- Abstracts and presentation slides from the workshop can be accessed on the internet
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 142)
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Table of contents (11 papers)
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Front Matter
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Back Matter
About this book
The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 11-15, 2004 at the University of Minnesota. The purpose of the workshop was to bring together scientists at the forefront of the research in the numerical solution of PDEs to discuss recent advances and novel applications of geometrical and homological approaches to discretization. This volume contains original contributions based on the material presented at the workshop. A unique feature of the collection is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science.
Compatible spatial discretizations are those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum principles. The papers in the volume offer a snapshot of the current trends and developments in compatible spatial discretizations. The reader will find valuable insights on spatial compatibility from several different perspectives and important examples of applications compatible discretizations in computational electromagnetics, geosciences, linear elasticity, eigenvalue approximations and MHD. The contributions collected in this volume will help to elucidate relations between different methods and concepts and to generally advance our understanding of compatible spatial discretizations for PDEs. Abstracts and presentation slides from the workshop can be accessed at http://www.ima.umn.edu/talks/workshops/5-11-15.2004/.
Editors and Affiliations
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Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, USA
Douglas N. Arnold
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Computational Mathematics and Algorithms Department, Sandia National Laboratories, Alburquerque, USA
Pavel B. Bochev, Richard B. Lehoucq
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Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, USA
Roy A. Nicolaides
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Theoretical Division, Los Alamos National Laboratory, Los Alamos, USA
Mikhail Shashkov
Bibliographic Information
Book Title: Compatible Spatial Discretizations
Editors: Douglas N. Arnold, Pavel B. Bochev, Richard B. Lehoucq, Roy A. Nicolaides, Mikhail Shashkov
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/0-387-38034-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2006
Hardcover ISBN: 978-0-387-30916-3Published: 13 July 2006
Softcover ISBN: 978-1-4939-0197-5Published: 20 October 2014
eBook ISBN: 978-0-387-38034-6Published: 26 January 2007
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: XIV, 247
Topics: Applications of Mathematics, Partial Differential Equations, Numerical Analysis