Good evening, Thank you very much for the reply. Indeed, the use of the Butcher tableau for constructing RK methods is very convenient. This discussion was very helpful, so I would like to thank again Dr. Bangerth and Dr. Turcksin for their quick responses.
Regards, Aslan On Sunday, November 20, 2016 at 8:10:10 PM UTC-7, Bruno Turcksin wrote: > > Aslan, > > 2016-11-17 19:31 GMT-05:00 <kosa...@ualberta.ca <javascript:>>: > > On Thursday, November 17, 2016 at 5:22:00 PM UTC-7, Wolfgang Bangerth > wrote: > >> > I can see that there is an implementation of IRK method in deal.ii. > If > >> > you do > >> > not mind, may I ask what was the reason that that particular method > was > >> > chosen > >> > in your software? I am aware that IRK and BDF schemes have overall > >> > similar > >> > efficiency, so that might have been just some personal preference of > the > >> > developer(s). > >> > >> That would be a question for Bruno and Damien. I don't know. > The reason is that all Runge-Kutta methods (including forward and > backward Euler) can be expressed using a Butcher tableau. Once you > have the code working for one explicit RK method and you have a Newton > solver, you can easily add any Runge-Kutta method by adding a new > Butcher tableau. Since this was a very small amount of work, we added > IRK schemes. There is no numerical reasons why IRK was chosen over > BDF. > > Best, > > Bruno > -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. For more options, visit https://groups.google.com/d/optout.
