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Recent Advances in Numerical Methods for Partial Differential Equations and Applications : Proceedings of the 2001 John H. Barrett Memorial Lectures, Trends in Mathematical Physics, the University of Tennessee, Knoxville, TN, May 10-12, 2001,9780821829707

Recent Advances in Numerical Methods for Partial Differential Equations and Applications : Proceedings of the 2001 John H. Barrett Memorial Lectures, Trends in Mathematical Physics, the University of Tennessee, Knoxville, TN, May 10-12, 2001

by ; ;
ISBN13:

9780821829707

ISBN10:
082182970X
Format:
Hardcover
Pub. Date:
10/1/2002
Publisher(s):
Amer Mathematical Society
List Price: $57.00

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What version or edition is this?
This is the edition with a publication date of 10/1/2002.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

Summary

This book is derived from lectures presented at the 2001 John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville. The topic was computational mathematics, focusing on parallel numerical algorithms for partial differential equations, their implementation and applications in fluid mechanics and material science. Compiled here are articles from six of nine speakers. Each of them is a leading researcher in the field of computational mathematics and its applications. A vast area that has been coming into its own over the past 15 years, computational mathematics has experienced major developments in both algorithmic advances and applications to other fields. These developments have had profound implications in mathematics, science, engineering and industry. With the aid of powerful high performance computers, numerical simulation of physical phenomena is the only feasible method for analyzing many types of important phenomena, joining experimentation and theoretical analysis as the third method of scientific investigation. The three aspects: applications, theory, and computer implementation comprise a comprehensive overview of the topic. Leading lecturers were Mary Wheeler on applications, Jinchao Xu on theory, and David Keyes on computer implementation. Following the tradition of the Barrett Lectures, these in-depth articles and expository discussions make this book a useful reference for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists.

Table of Contents

Some multiscale methods for partial differential equations
Terascale implicit methods for partial differential equations
Boundary conditions for fully implicit two-phase flow models
Phase-field models of solidification
Singularity formation in free-surface Stokes flows
A note on cache memory methods for multigrid in three dimensions
Table of Contents provided by Publisher. All Rights Reserved.


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