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An Introduction to the Mathematical - Paperback, by J. T. Oden; - Acceptable
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eBay-Artikelnr.:405263159935
Artikelmerkmale
- Artikelzustand
- Book Title
- An Introduction to the Mathematical Theory of Finite Elements (Do
- ISBN
- 9780486462998
- Ursprungsland
- Vereinigte Staaten von Amerika
Über dieses Produkt
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486462994
ISBN-13
9780486462998
eBay Product ID (ePID)
127333481
Product Key Features
Number of Pages
446 Pages
Publication Name
Introduction to the Mathematical Theory of Finite Elements
Language
English
Publication Year
2011
Subject
Engineering (General), Differential Equations / General, Functional Analysis, Numerical Analysis, Differential Equations / Partial
Type
Textbook
Subject Area
Mathematics, Technology & Engineering
Series
Dover Books on Engineering Ser.
Format
Trade Paperback
Dimensions
Item Weight
20 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
TitleLeading
An
Dewey Decimal
518.64
Table Of Content
1. Introduction 2. Distributions, Mollifiers, and Mean Functions 3. Theory of Sobolev Spaces 4. Hilbert Space Theory of Traces and Intermediate Spaces 5. Some Elements of Elliptic Theory 6. Finite-Element Interpolation 7. Variational Boundary-Value Problems 8. Finite-Element Approximations of Elliptic Boundary-Value Problems 9. Time-Dependent Problems Author Index Subject Index
Synopsis
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples., This introduction to the theory of Sobolev spaces and Hilbert space methods demonstrates the use of these techniques in finite element approximations of linear partial differential equations. 1976 edition.
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