Talk:Explicit and implicit methods

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Oleg Alexandrov's changes to my last edit improve the article. On two minor points I disagree, and have reverted:

"mathematical" simulation: as distinct from, for example, an electrical LCR circuit to simulate a differential equation.

The "next instance of time" is just wrong; I think you mean "instant". My "interval" is also plain wrong: I was thinking in terms of a delta-T, which it isn't (it's late at night, or maybe I'm just stupid).

Pol098 03:52, 11 March 2006 (UTC) (amended)

Yes, "instant" is best! So we agree. Oleg Alexandrov (talk) 04:03, 11 March 2006 (UTC)
I like your final edit. I think the wording is much better like this. Your article I see; nice one. Pol098 04:12, 11 March 2006 (UTC)

Quadratic solution

Shouldn't the denominator of equation (4) be 2? --anon

Yes! Fixed, thanks. Oleg Alexandrov (talk) 15:15, 30 June 2006 (UTC)

Accuracy and CFL condition

I've never used implicit methods, but am aware of their use in avoiding the 'stiffness' of stiff systems. Could someone add to the article a comment on their accuracy regarding by how much one has violated the CFL condition? I'm told that it's something like $O(\partial t / \lambda_{min})$, but don't know enough about it to be sure.

...I'm also told that one only ever *uses* implicit methods when you're seeking a final steady state, since you know when you've found the right answer. This is plainly not true, but again, could someone comment on their use in strongly time-dependent systems? 7daysahead (talk) 21:51, 10 July 2010 (UTC)

No Exact Solution?

I object to the statement "In the vast majority of cases, the equation to be solved when using an implicit scheme is much more complicated than a quadratic equation, and no exact solution exists". In typical cases, an exact solution certainly exists, but there is just not a formula to compute it. The wording of the end of the sentence should to changed as to not be confusing. —Preceding unsigned comment added by 208.120.216.154 (talk) 02:26, 5 October 2010 (UTC)

Indeed, I made some changes now. Nico (talk) 07:49, 8 April 2014 (UTC)