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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