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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 computational mathematics, May 10-12, 2001, the University of Tennessee, Knoxville, TN / Xiaobing Feng, Tim P. Schulza, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- John H. Barrett Memorial Lectures, Trends in Computational Mathematics (2001 : University of Tennessee), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 306.
- Contemporary mathematics, 0271-4132 ; 306
- Language:
- English
- Subjects (All):
- Differential equations, Partial--Numerical solutions--Congresses.
- Differential equations, Partial.
- Physical Description:
- 1 online resource (194 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2002]
- Language Note:
- English
- 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.
- Contents:
- ""Contents""; ""Preface""; ""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""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7896-4
- 0-8218-5642-1
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