Montag, 12. Dezember 2011

Kolloquiumsvortrag von Prof. Dr. Charalambos Makridakis

Self adaptive methods for evolution problems: algorithms and analysis

Am Montag, dem 12. Dezember 2012 hält 

Prof. Dr. Charalambos Makridakis (University of Crete)

um 16:45 Uhr im Hörsaal D2 einen Vortrag mit dem Thema

"Self adaptive methods for evolution problems: algorithms and analysis"

Zu dieser Veranstaltung sind alle Interessenten herzlich eingeladen.

Um 16:15 Uhr trifft man sich zur Begrüßung des Gastes bei Tee und Kaffee im Besprechungsraum D2.343.

Abstract: 

An important modern class of computational methods is based on the notion of Adaptivity. This, in most cases means that the algorithm not only can detect the features of interest of the desired solution, but in addition is automatically adapted to provide an accurate computational approximation. This procedure is heavily problem dependent, of nonlinear character and of high sophistication. An additional notion linked in a natural way to adaptive methods for approximating Partial Differential Equations is the Guaranteed Accuracy of the algorithm. This is achieved in principle by error control of a posteriori type, i.e., by error bounds that depend on the and not on the computed approximate solutionunknown exact solution. In this talk we discuss adaptive algorithms and a posteriori error control for evolution problems.  We will consider parabolic and wave type problems as well as hyperbolic conservation laws.


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