Talk:Runge-Kutta method: Difference between revisions

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Tableaus

I see that practical RK solvers are often defined in terms of a tableau, and I keep thinking it would be awesome to have this task work that way. (I've got some C++ code to do it, but it's no-way suitable for RC because it's both totally gigantic and by someone else.) –Donal Fellows 14:35, 15 March 2012 (UTC)

Adaptive step sizing, arbitrary order, and showing the solving of higher order / coupled equations would all be interesting, but I fear it would turn into more of a math problem than a programming one. I've done quite a bit of mechanical engineering related programming I could add on RC, but its just hard to say how much the average person would follow along with or care about (and many would just end up complicated exercises in matrices). Everyone should have a basic RK4 solver in their language though. That said, ill follow suit in Ada if someone wants to up the complexity ante on this one. Xenoker 17:59, 15 March 2012 (UTC)

Revision as of 14:35, 15 March 2012 (view source) rosettacode>Dkf (Tableaus)		Revision as of 17:59, 15 March 2012 (view source) rosettacode>Xenoker (Up the complexity ante?) Newer edit →
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	I see that practical RK solvers are often defined in terms of a tableau, and I keep thinking it would be awesome to have this task work that way. (I've got some C++ code to do it, but it's ''no-way'' suitable for RC because it's both totally gigantic and by someone else.) –[[User:Dkf\|Donal Fellows]] 14:35, 15 March 2012 (UTC)		I see that practical RK solvers are often defined in terms of a tableau, and I keep thinking it would be awesome to have this task work that way. (I've got some C++ code to do it, but it's ''no-way'' suitable for RC because it's both totally gigantic and by someone else.) –[[User:Dkf\|Donal Fellows]] 14:35, 15 March 2012 (UTC)
			:Adaptive step sizing, arbitrary order, and showing the solving of higher order / coupled equations would all be interesting, but I fear it would turn into more of a math problem than a programming one. I've done quite a bit of mechanical engineering related programming I could add on RC, but its just hard to say how much the average person would follow along with or care about (and many would just end up complicated exercises in matrices). Everyone should have a basic RK4 solver in their language though. That said, ill follow suit in Ada if someone wants to up the complexity ante on this one. [[User:Xenoker\|Xenoker]] 17:59, 15 March 2012 (UTC)