Previous |  Up |  Next


Title: On Runge-Kutta, collocation and discontinuous Galerkin methods: Mutual connections and resulting consequences to the analysis (English)
Author: Vlasák, Miloslav
Author: Roskovec, Filip
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 8-13, 2014
Issue: 2014
Pages: 231-236
Category: math
Summary: Discontinuous Galerkin (DG) methods are starting to be a very popular solver for stiff ODEs. To be able to prove some more subtle properties of DG methods it can be shown that the DG method is equivalent to a specific collocation method which is in turn equivalent to an even more specific implicit Runge-Kutta (RK) method. These equivalences provide us with another interesting view on the DG method and enable us to employ well known techniques developed already for any of these methods. Our aim will be proving the superconvergence property of the DG method in Radau quadrature nodes. (English)
Keyword: Runge-Kutta method
Keyword: collocation method
Keyword: discontinuous Galerkin method
Keyword: stiff ordinary differential equation
MSC: 65L04
MSC: 65L05
MSC: 65L06
MSC: 65L60
Date available: 2015-04-20T06:16:58Z
Last updated: 2015-04-20
Stable URL:


Files Size Format View
PANM_17-2014-1_36.pdf 175.6Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo