# Talk:Laplace's equation

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Mathematics rating:
 B Class
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Field:  Analysis

## Numerical solution

This is a great article, but I think it would be great if it gave a primer on how to solve the equation numerically. Joelthelion (talk) 20:39, 19 July 2013 (UTC)

## Sorry for mixup

I thought someone had replaced many of the nabla symbols with delta symbols and changed everything to nablas removing the deltas.

Sorry, my mistake; I have just realized the use of a notation I was not familiar with. I apologize - have reverted the article to original state.

152.3.68.83 (talk) 21:45, 28 March 2012 (UTC)

## Excellent article

This seems to me an exceptionally clear (and concise) overview of the subject.

I don't know where the "class = B" rating comes from, but I would call this article a model of exposition.

## Qualitative and technical description

This article currently lacks a qualitative and technical definition of the Laplace equation. See Spherical_harmonics#Laplace.27s_spherical_harmonics for a good technical wording for the definition. A qualitative definition remains to be provided and should be included at the very beginning of the article so that a non-expert reader can gain some understanding. --BBUCommander (talk) 20:45, 15 May 2013 (UTC)

## Wrong index in Curvilinear coordinates

Correct me if I'm wrong, but I believe that the second index on the metric should be ${\displaystyle i}$, not ${\displaystyle j}$, inside the derivative. I.e., the equation would read

${\displaystyle \Delta f={\frac {\partial }{\partial \xi ^{j}}}\left({\frac {\partial f}{\partial \xi ^{k}}}g^{kj}\right)+{\frac {\partial f}{\partial \xi ^{j}}}g^{jm}\Gamma _{mn}^{n}=0,}$

Currently there are two free indices, ${\displaystyle i,j}$, in the first term and none in the second term. I believe there should be no free indices since it is a scalar equation.

Mjohnrussell (talk) 14:04, 15 October 2014 (UTC)