Mari\'an Slodi\v cka
Semigroup formulation of Rothe's method: application to parabolic problems

Comment.Math.Univ.Carolinae 33,2 (1992) 245-260.

Abstract:A semilinear parabolic equation in a Banach space is considered. The purpose of this paper is to show the dependence of an error estimate for Rothe's method on the regularity of initial data. The proofs are done using a semigroup theory and Taylor spectral representation.

Keywords: error estimates, parabolic equation, backward Euler method
AMS Subject Classification: 65M15, 35K22, 65M20