# Integrate High Dimension highly oscillating integral

**URL:** <https://discourse.julialang.org/t/integrate-high-dimension-highly-oscillating-integral/75825>\
**Category:** Numerics\
**Created:** [February 4, 2022, 10:52pm UTC](https://discourse.julialang.org/t/integrate-high-dimension-highly-oscillating-integral/75825 "2022-02-04T22:52:08Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![CollinsPeriodLee](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/collinsperiodlee/32/23211_2.png) [@CollinsPeriodLee](https://discourse.julialang.org/u/CollinsPeriodLee)\
**Post date:** [February 4, 2022, 10:52pm UTC](https://discourse.julialang.org/t/integrate-high-dimension-highly-oscillating-integral/75825/1 "2022-02-04T22:52:09Z")

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Hi, everyone, I’m considering to compute the integral  
 ![image](https://global.discourse-cdn.com/julialang/original/3X/9/4/940bab2256d16372687325146530b301737ad58b.png)  
for d\>2.  
I have already read the paper [QUADRATURE METHODS FOR MULTIVARIATE HIGHLY OSCILLATORY INTEGRALS USING DERIVATIVES](https://www.ams.org/journals/mcom/2006-75-255/S0025-5718-06-01854-0/S0025-5718-06-01854-0.pdf) and noticed that for d=2, there is a doable method, but the method introduced in the paper could be intractable when d\>2.

Is there any progress for this topic? And is there anyone package for such kinds of methods?

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**Author:** ![dlfivefifty](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/dlfivefifty/32/1959_2.png) [@dlfivefifty](https://discourse.julialang.org/u/dlfivefifty)\
**Post date:** [February 4, 2022, 10:54pm UTC](https://discourse.julialang.org/t/integrate-high-dimension-highly-oscillating-integral/75825/2 "2022-02-04T22:54:54Z")

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Not that I’m aware of (student of the author of that paper)

In 1D there’s [https://github.com/JuliaApproximation/OscillatoryIntegrals.jl](https://github.com/JuliaApproximation/OscillatoryIntegrals.jl)

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**Author:** ![CollinsPeriodLee](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/collinsperiodlee/32/23211_2.png) [@CollinsPeriodLee](https://discourse.julialang.org/u/CollinsPeriodLee)\
**Post date:** [February 4, 2022, 11:13pm UTC](https://discourse.julialang.org/t/integrate-high-dimension-highly-oscillating-integral/75825/3 "2022-02-04T23:13:16Z")

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OK. Got it. Thanks!