000			01689nam a22002537a 4500
008			180218b2006 xxu||||| |||| 00| 0 eng d
020			_a9783540129110
020			_a9783540331216
082			_a515.3534 THO-V
100			_aThomee, Vidar
245			_aGalerkin finite element methods for parabolic problems / _cVidar Thomee
250			_a2nd
260			_aNetherlands _bSpringer _c2006
300			_a370 p.
365			_aEU _b164.99.
440			_aSpringer Series in Computational Mathematics.
500			_aThis book provides insight into the mathematics of the 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 methods. The concern is stability and error analysis of approximate solutions in various forms, and under various regularity assumptions on the exact solution. The book gives an excellent insight into the present ideas and methods of analysis. The second edition has been influenced by recent progress in the application of semigroup theory to stability and error analysis, particularly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly nonconvex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.
650			_aDifferential equations, Parabolic--Numerical solutions
650			_aFinite element method
650			_aNumerical analysis
650			_aGlobal analysis (Mathematics)
650			_aMathematics
650			_aMathematical physics
999			_c29661 _d29661