Aslan,

2016-11-17 19:31 GMT-05:00  <[email protected]>:
> 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

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