Galerkin Finite Element Methods for Parabolic Problems: 25 (Springer Series in Computational Mathematics) - Tapa dura

Thomee, Vidar

 
9783540331216: Galerkin Finite Element Methods for Parabolic Problems: 25 (Springer Series in Computational Mathematics)

Sinopsis

This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised 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.

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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9783540129110: Galerkin Finite Element Methods for Parabolic Problems: 1054 (Lecture Notes in Mathematics)

Edición Destacada

ISBN 10:  3540129111 ISBN 13:  9783540129110
Editorial: Springer, 2009
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