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Galerkin Finite Element Methods for Parabolic Problems by Vidar Thomee: New
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eBay item number:282829049724
Item specifics
- Condition
- Book Title
- Galerkin Finite Element Methods for Parabolic Problems
- Publication Date
- 2006-07-07
- Edition Number
- 2
- Pages
- 364
- ISBN
- 9783540331216
- Publication Name
- Galerkin Finite Element Methods for Parabolic Problems
- Item Length
- 11.7in
- Publisher
- Springer Berlin / Heidelberg
- Series
- Springer Series in Computational Mathematics Ser.
- Publication Year
- 2006
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Features
- Revised
- Item Width
- 8.3in
- Item Weight
- 55.4 Oz
- Number of Pages
- Xii, 364 Pages
About this product
Product Information
My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin ?nite element methods as appliedtoparabolicpartialdi?erentialequations. Theemphasesandselection of topics re?ects my own involvement in the ?eld over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin ?nite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doing so I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete iterative solution of the linear algebraic systems at the time levels, and on semilinear equations. The old chapters on fully discrete methods have been reworked by ?rst treating the time discretization of an abstract di?erential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540331212
ISBN-13
9783540331216
eBay Product ID (ePID)
57000828
Product Key Features
Publication Name
Galerkin Finite Element Methods for Parabolic Problems
Format
Hardcover
Language
English
Features
Revised
Series
Springer Series in Computational Mathematics Ser.
Publication Year
2006
Type
Textbook
Number of Pages
Xii, 364 Pages
Dimensions
Item Length
11.7in
Item Width
8.3in
Item Weight
55.4 Oz
Additional Product Features
Series Volume Number
25
Number of Volumes
1 Vol.
Lc Classification Number
Qa297-299.4
Edition Description
Revised Edition
Edition Number
2
Table of Content
The Standard Galerkin Method.- Methods Based on More General Approximations of the Elliptic Problem.- Nonsmooth Data Error Estimates.- More General Parabolic Equations.- Negative Norm Estimates and Superconvergence.- Maximum-Norm Estimates and Analytic Semigroups.- Single Step Fully Discrete Schemes for the Homogeneous Equation.- Single Step Fully Discrete Schemes for the Inhomogeneous Equation.- Single Step Methods and Rational Approximations of Semigroups.- Multistep Backward Difference Methods.- Incomplete Iterative Solution of the Algebraic Systems at the Time Levels.- The Discontinuous Galerkin Time Stepping Method.- A Nonlinear Problem.- Semilinear Parabolic Equations.- The Method of Lumped Masses.- The H1 and H?1 Methods.- A Mixed Method.- A Singular Problem.- Problems in Polygonal Domains.- Time Discretization by Laplace Transformation and Quadrature.
Copyright Date
2006
Topic
Numerical Analysis, Differential Equations / Partial, Physics / Mathematical & Computational, Mathematical Analysis
Lccn
2006-925896
Dewey Decimal
515.3534
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Science, Mathematics
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eBay item number:282829049724
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