JuliaMath / JuliaMath/HCubature.jl

Automatic support for infinite domains

Open
#12 2 comments 0 reactions 0 assignees View on GitHub
enhancement
Dominant language
Julia
Stars
168
Forks
28
PR merge metrics
No merged PRs in 30d

Description

I would like to integrate a two-dimensional function from -Inf to Inf. To explore my possiblities, I wrote this simple function

`f(x) = x.^2 .*pdf.(Normal(), 2 .*x)`

It works without problems when using QuadGK, but does not converge at all using HCubature:

```
using QuadGK, Distributions, HCubature

f(x) = x.^2 .*pdf.(Normal(), 2 .*x)
quadgk(f, -Inf, Inf)
hcubature(f, [-Inf], [Inf] )
```

Is this a well known problem?

Contributor guide

No contributing guide indexed for this repository

Research direction

Start by reproducing the Julia example in the issue with QuadGK and HCubature, focusing on integration over [-Inf, Inf]. No source file or test is named; determine which HCubature entry point handles infinite bounds and define done as resolving or clearly documenting the non-convergence behavior.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
tooling
Issue type
Bug
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
30/100

Get new issues in your inbox

A short digest of beginner-friendly GitHub issues.