Talk:Midpoint method

From Wikipedia, the free encyclopedia

Mathematics Portal This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating:	Start Class	Low Priority	Field: Applied mathematics
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. First step is to add more analysis. -- Jitse Niesen (talk) 11:58, 28 April 2007 (UTC)

[edit] Accuracy

This method looks like it will always be less acurate, and require more computation than the Euler method done with step size h/2. —The preceding unsigned comment was added by Neiljackson (talk • contribs).

That is not correct. The midpoint method gives an accuracy of O(h^3), compared to O(h^2) for Euler's method. So overall you gain by using this instead of Euler's method, even in spite of more computation involved. Oleg Alexandrov (talk) 00:48, 12 February 2007 (UTC)

Midpoint is indeed of a higher order than simple Euler's method. However, "higher order is not always higher accuracy". KTC 10:35, 18 October 2007 (UTC)