| 000 -LEADER |
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| fixed length control field |
03562nam a22005055i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-3-540-33122-3 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20161121231033.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100301s2006 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540331223 |
| -- |
978-3-540-33122-3 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/3-540-33122-0 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA297-299.4 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBKS |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT021000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT006000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
518 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Thom�e, Vidar. |
| Relator term |
author.1 |
| 245 0# - TITLE STATEMENT |
|---|
| Title |
Galerkin Finite Element Methods for Parabolic Problems |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Vidar Thom�e. 1 |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2006. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 364 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda1 |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Springer Series in Computational Mathematics, |
| International Standard Serial Number |
0179-3632 ; |
| Volume/sequential designation |
250 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis. The second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical analysis. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Analysis (Mathematics). 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Numerical analysis. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Physics.14 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Numerical Analysis.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Analysis.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Theoretical, Mathematical and Computational Physics.2 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service)0 |
| 773 ## - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks08 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783540331216 0 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Springer Series in Computational Mathematics, |
| International Standard Serial Number |
0179-3632 ; |
| Volume/sequential designation |
2540 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/3-540-33122-0 |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
