Geodesic
Semigroup formulation of Rothe's method: application to parabolic problems
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 245-260

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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.
Classification : 35G10, 35K22, 35K25, 47D03, 65M15, 65M20
Keywords: error estimates; parabolic equation; backward Euler method 
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     author = {Slodi\v{c}ka, Mari\'an},
     title = {Semigroup formulation of {Rothe's} method: application to parabolic problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {245--260},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1992},
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     zbl = {0756.65121},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a4/}
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Slodička, Marián. Semigroup formulation of Rothe's method: application to parabolic problems. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 245-260. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a4/