Talk:Finite difference method

message: Does anyone have sufficient practical or theoretical experience on the closing statement:
Usually the Crank-Nicolson scheme is the most accurate scheme for small time steps. The explicit scheme is the least accurate and can be unstable, but is also the easiest to implement and the least numerically intensive. The implicit scheme works the best for large time steps.
What constitutes "small" and "large" time steps?  Any boundaries on when the Crank-Nicolson scheme is or isn't the most accurate for small time steps?  (When is it "usual" and when is it "unusual"?)
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--KnockNrod 16:42, 3 November 2006 (UTC)
replies: text: I don't think this is referenced or verified. Darktachyon (talk) 18:52, 30 December 2007 (UTC)
thread_title:  Ambiguous Terms 

message: In my lecture course (Imperial College, 2007) The errors in the Crank Nicholson method were presented as being both second order. I cannot find any reference to the more precise O(k^4). I suspect the errors I have been given are the global errors, which are of lower order than the local errors. I recommend it being changed.
The CN method is also stable for all R, which is a large advantage.
Darktachyon (talk) 18:52, 30 December 2007 (UTC)
thread_title:  Possible Error 

message: Where it says "This explicit method is known to be numerically stable and convergent whenever r <= 1/2", does that mean that we simply have to change the units such that r <= 1/2 ? Or, equivalently, scale the axes of the problem? Clearly that shouldn't work to suddenly make the method stable and convergent. So, the statement should be qualified.  — Preceding unsigned comment added by 125.253.44.20 (talk) 11:00, 24 May 2013 (UTC)
thread_title:  Stability criterion - unit dependent? 

message: The notion of scheme needs to be introduced before it's nonchalantly used. Some1Redirects4You (talk) 16:53, 27 April 2015 (UTC)
thread_title:  Jargon tag 

message: Hi, in this edit I have just removed a reference added by a user with a conflict of interest. I do not judge of the quality of the reference. If it is a valuable addition to the article, then a more experienced user can perhaps add it back. Thanks, Ariadacapo (talk) 11:20, 2 September 2015 (UTC)
thread_title:  Conflict-of-interest reference removal 

message: Hi, section Comparison looks like meant to be complete example. Meanwhile it doesn't have initial condition specified which cause confusion. Thanks...  — Preceding unsigned comment added by 38.97.110.5 (talk) 17:24, 28 December 2016 (UTC)
thread_title:  Comparison section missing initial condition 

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thread_title:  External links modified 

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thread_title:  External links modified 

message: Wikipedia is an encyclopedia, not a math textbook. This article should be rewritten eliminate the use of "we".
Ira Leviton (talk) 21:23, 27 June 2020 (UTC)
thread_title: Tone of article

message: The graphic "File:Numerical dispersion of a pulse signal in 1D FDTD.ogv" has an incorrectly labeled y axis.
It says, "Electric field magnitude (Arbitrary)" but it cannot be the magnitude as E<0. It should be labeled, "Electric field (Arbitrary units)" or the graphic itself should be changed to show the magnitude.
Cheers. 73.219.235.86 (talk) 22:51, 13 February 2024 (UTC)
thread_title:  Error with "File:Numerical dispersion of a pulse signal in 1D FDTD.ogv"