Rothe's method for parabolic equations on non-cylindrical domains

0343883 - MÚ 2011 RIV IN eng J - Journal Article
Dasht, J. - Engström, J. - Kufner, Alois - Persson, L.E.
Rothe's method for parabolic equations on non-cylindrical domains.
Advances in Algebra and Analysis. Roč. 1, č. 1 (2006), s. 59-80. ISSN 0973-2306
Institutional research plan: CEZ:AV0Z10190503
Keywords : parabolic equations * non-cylindrical domains * Rothe's method * time-discretization
Subject RIV: BA - General Mathematics

We consider parabolic equations on non-cylindrical domains. We develop and apply two different methods connected to time-discretization to obtain a sequence of Rothe-type functions (approximations of the exact solution). The corresponding convergence results are proved and some generalizations and applications are pointed out.
Permanent Link: http://hdl.handle.net/11104/0186258