Talk:Smoothed particle hydrodynamics

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[edit] Q: "integration by parts" or "differentiation by parts"

In the following sentence

"Similarly, the spatial derivative of a quantity can be obtained by using integration by parts to shift the del ( \nabla ) operator (...)"

it was used the expression "integration by parts". Since we are talking about del operator, shouldn't it be "differentiation by parts"?

Thanks! Capagot (talk) 22:17, 6 March 2008 (UTC)

No. There's no such thing as "differentiation by parts". Integration by parts is a consequence (loosely speaking) of the product rule of differentiation. Unless you're being lazy and just moving the del operator inside the sum, one needs to use integration by parts to generate the sph approximation for derivatives.

Ac1201 (talk) 00:35, 14 May 2008 (UTC)