Talk:Numerical methods for ordinary differential equations

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Gear

I removed the following item from the History section:

1968 - C. William Gear invents the first stable algorithms to solve stiff differential equations.

I suppose this refers to BDF (backward differentiation formula), which were in fact already introduced by Curtiss and Hirschfelder in the same 1952 paper where they talk about stiffness. Please correct me if I am wrong. -- Jitse Niesen (talk) 16:58, 5 July 2005 (UTC)[reply]

Page title

There is no such thing as a numerical equation -- ODE or otherwise. This page should be named Numerical solutions to... or Numerical methods of... -- no? jheiv ^{talk contribs} 21:44, 15 December 2011 (UTC)[reply]

Solution to second order bvps

Greetings, I'm sorry but I don't quite know LaTeX well enough to put a space between the $\forall$ and $i=1,2,3,...,N-1$
if you do know please do correct me. — Preceding unsigned comment added by Fuse809 (talk • contribs) 15:28, 20 January 2012 (UTC)[reply]

Assessment comment

The comment(s) below were originally left at Talk:Numerical methods for ordinary differential equations/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

Needs some more background and illustrations. List in history section should become prose. -- Jitse Niesen (talk) 11:32, 28 April 2007 (UTC)[reply]

Substituted at 18:31, 17 July 2016 (UTC)

Consistency and order: citation needed

About the [citation needed] marker after "Consistency is a necessary condition for convergence": I guess Lax & Richtmyer's 1956 paper "Survey of the stability of linear finite difference equations" (https://doi.org/10.1002/cpa.3160090206) would be appropriate? Right from the introduction: "We shall give a definition of stability in terms of the uniform boundedness of a certain set of operators and then show that under suitable circumstances, for linear initial value problems, stability is necessary and sufficient for convergence in a certain uniform sense for arbitrary initial data. The circumstances are first that a certain consistency condition must be satisfied [...]" Lensh42 (talk) 12:01, 10 January 2025 (UTC)[reply]