Talk:Poisson's equation
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more applications
editother applications include image processing. e.g. filtering light and shade effects from sequences of pictures. see: http://www.cs.huji.ac.il/course/2006/csip/iccv01.pdf
There should be something about how Poisson's equation is used as del-squared-phi=4(pi)G(rho) to compute gravitational forces in the universe, as an alternative to Newton's inverse-square law of gravitation. Phi is the potential field, and one gets to the force per unit mass (mass of the earth, say) by calculating -del(phi). —The preceding unsigned comment was added by 82.12.27.202 (talk) 12:10, August 23, 2007 (UTC)
Relating the general equation to the application areas
editIn each section, e.g. Newtonian Gravity, Electrostatics, etc., symbols and terms need to be defined relative to the original statement of the equation. For example, in the context of gravity, the original Δφ=f or ∇²φ=f looks odd and causes confusion. That f is not force but a source term should be immediately explained, and any other terms needed if following the link to the discussion of Gauss's Law. Rlshuler (talk) 17:12, 7 October 2015 (UTC)
Date of publication
editInstead of the 1823 paper mentioned in the references, we should mention the first paper in 1813: https://gallica.bnf.fr/ark:/12148/bpt6k1053608v/f12 — Preceding unsigned comment added by 2001:861:5241:2BC0:C451:5220:DC04:4602 (talk) 17:03, 1 January 2023 (UTC)