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An extension of Rothe´s method to noncylindrical domains
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied mathematics.
2007 (English)In: Applications of Mathematics, ISSN 0862-7940, E-ISSN 1572-9109, Vol. 52, no 5, 365-389 p.Article in journal (Refereed) Published
Abstract [en]

In this paper Rothe's classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.

Place, publisher, year, edition, pages
2007. Vol. 52, no 5, 365-389 p.
Keyword [en]
parabolic PDE, numerical method, time-discretization, method of lines, Rothe's method
National Category
URN: urn:nbn:se:uu:diva-13450DOI: 10.1007/s10492-007-0021-6OAI: oai:DiVA.org:uu-13450DiVA: diva2:41220
Available from: 2008-01-23 Created: 2008-01-23 Last updated: 2010-05-11Bibliographically approved

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