# Numerical integration over 3D domain of vector-valued function

**URL:** https://discourse.julialang.org/t/numerical-integration-over-3d-domain-of-vector-valued-function/112284
**Category:** General Usage
**Tags:** integral
**Created:** [March 29, 2024, 12:27pm UTC](https://discourse.julialang.org/t/numerical-integration-over-3d-domain-of-vector-valued-function/112284 "2024-03-29T12:27:23Z")
**Posts on this page:** 1
**Showing post:** 15

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### Author: ![stevengj](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/stevengj/32/71_2.png) [@stevengj](https://discourse.julialang.org/u/stevengj)
#### Post date: [April 2, 2024, 12:20pm UTC](https://discourse.julialang.org/t/numerical-integration-over-3d-domain-of-vector-valued-function/112284/15 "2024-04-02T12:20:13Z")

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> [@Lisette\_de\_Bruin](#):
>
> For now, I want to ignore the fact that it is a singular integral and add a small number to the denominator.

That will still make Gaussian quadrature converge slowly until you have a large number of quadrature points, similar to the behavior described here with a near pole: [(Insanely-) Higher Order Derivatives - #17 by stevengj](https://discourse.julialang.org/t/insanely-higher-order-derivatives/104455/17)

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