Semigroup formulation of Rothe's method: application to parabolic problems

Marián Slodička

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 2, page 245-260
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Slodička, Marián. "Semigroup formulation of Rothe's method: application to parabolic problems." Commentationes Mathematicae Universitatis Carolinae 33.2 (1992): 245-260. <http://eudml.org/doc/247401>.

@article{Slodička1992,
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.},
author = {Slodička, Marián},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {error estimates; parabolic equation; backward Euler method; Banach space; abstract semilinear parabolic initial value problem; a priori error estimate; backward Euler method; Rothe method of lines},
language = {eng},
number = {2},
pages = {245-260},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Semigroup formulation of Rothe's method: application to parabolic problems},
url = {http://eudml.org/doc/247401},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Slodička, Marián
TI - Semigroup formulation of Rothe's method: application to parabolic problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 2
SP - 245
EP - 260
AB - 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.
LA - eng
KW - error estimates; parabolic equation; backward Euler method; Banach space; abstract semilinear parabolic initial value problem; a priori error estimate; backward Euler method; Rothe method of lines
UR - http://eudml.org/doc/247401
ER -

References

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