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Galerkin Finite Element Methods for Parabolic Problems (Record no. 425201)

MARC details
000 -LEADER
fixed length control field 03769nam a22005055i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783540331223
-- 978-3-540-33122-3
024 7# -
-- 10.1007/3-540-33122-0
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA297-299.4
072 #7 -
-- PBKS
-- bicssc
072 #7 -
-- MAT021000
-- bisacsh
072 #7 -
-- PBKS
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 518
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Thomée, Vidar.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Galerkin Finite Element Methods for Parabolic Problems
Medium [electronic resource] /
Statement of responsibility, etc by Vidar Thomée.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg,
Date of production, publication, distribution, manufacture 2006.
300 ## -
-- XII, 364 p.
-- 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 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Springer Series in Computational Mathematics,
-- 0179-3632 ;
-- 25
505 0# -
-- 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 ## -
-- 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.
650 #0 -
-- Numerical analysis.
650 #0 -
-- Global analysis (Mathematics).
650 14 -
-- Numerical Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M14050
650 24 -
-- Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12007
650 24 -
-- Theoretical, Mathematical and Computational Physics.
-- http://scigraph.springernature.com/things/product-market-codes/P19005
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783540822028
776 08 -
-- Printed edition:
-- 9783642069673
776 08 -
-- Printed edition:
-- 9783540331216
830 #0 -
-- Springer Series in Computational Mathematics,
-- 0179-3632 ;
-- 25
856 40 -
-- https://doi.org/10.1007/3-540-33122-0
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

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