https://github.com/xzackli/oscillatoryintegralsode.jl

https://github.com/xzackli/oscillatoryintegralsode.jl

Last synced: 3 months ago
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• Host: GitHub
• URL: https://github.com/xzackli/oscillatoryintegralsode.jl
• Owner: xzackli
• License: mit
• Created: 2021-02-18T03:31:36.000Z (over 4 years ago)
• Default Branch: main
• Last Pushed: 2023-03-02T20:05:46.000Z (about 2 years ago)
• Last Synced: 2025-03-08T05:46:19.919Z (3 months ago)
• Language: Julia
• Size: 156 KB
• Stars: 6
• Watchers: 1
• Forks: 2
• Open Issues: 2
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# OscillatoryIntegralsODE

[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://xzackli.github.io/OscillatoryIntegralsODE.jl/dev)

[![Build Status](https://github.com/xzackli/OscillatoryIntegralsODE.jl/workflows/CI/badge.svg)](https://github.com/xzackli/OscillatoryIntegralsODE.jl/actions)

[![codecov](https://codecov.io/gh/xzackli/OscillatoryIntegralsODE.jl/branch/main/graph/badge.svg?token=QMFSovaGW4)](https://codecov.io/gh/xzackli/OscillatoryIntegralsODE.jl)

This package computes highly oscillatory integrals by combining a Levin method ([Levin 1994](https://www.sciencedirect.com/science/article/pii/0377042794001189)) with an ODE solver. It currently supports Bessel, spherical Bessel, and harmonic integrals.

Please read the [documentation](https://xzackli.github.io/OscillatoryIntegralsODE.jl/dev) for details.

```julia

using OscillatoryIntegralsODE

f(x) = exp(-x^2/16)

bi = BesselJIntegral{Float64}(100., 100.)  # nu, r

levintegrate(bi, f, 1.0, 5.0; abstol=1e-6, reltol=1e-6)

```

```

0.006311599451652101

```