Science Score: 67.0%
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✓CITATION.cff file
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✓codemeta.json file
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✓.zenodo.json file
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✓DOI references
Found 1 DOI reference(s) in README -
✓Academic publication links
Links to: zenodo.org -
○Committers with academic emails
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○Institutional organization owner
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○Scientific vocabulary similarity
Low similarity (11.4%) to scientific vocabulary
Keywords from Contributors
Repository
"I can't believe it's not real!"
Basic Info
- Host: GitHub
- Owner: miguelraz
- License: mit
- Language: Julia
- Default Branch: main
- Size: 97.7 KB
Statistics
- Stars: 3
- Watchers: 1
- Forks: 0
- Open Issues: 1
- Releases: 0
Metadata Files
README.md
ComplexDiff.jl
I can't believe it's not real autodiff
Say you like finite differences, but dislike how they succumb to catastrophic cancellation. Define
math
f^\prime(x_0) \equiv \lim_{h\to 0} \textrm{Im}\left(\frac{f(x_0+i h)}{h}\right),
instead of the usual
math
f^\prime(x_0) \equiv \lim_{h\to 0} \left(\frac{f(x_0 + h) - f(x_0 - h)}{2h}\right),
where $i^2 = -1$ and $\textrm{Im}(z)$ the imaginary part of $z$.
If you plot it, you get something like
whereas the complex difference scheme as described in Squire and Trapp or Nick Higham's blog will give you
where the lack of subtraction will let you have accurate approximations even when $x_0 = 10^-100$.
WIP: This package implements that approach, and bridges your Julian experience via DifferentiationInterface.jl and ADTypes.jl.
How to Cite
If you use ComplexDiff.jl in your work, please cite using the reference given in CITATION.cff.
Contributing
If you want to make contributions of any kind, please first that a look into our contributing guide directly on GitHub or the contributing page on the website
Contributors
Owner
- Name: Miguel Raz Guzmán Macedo
- Login: miguelraz
- Kind: user
- Location: UNAM, Mexico
- Company: UNAM
- Repositories: 300
- Profile: https://github.com/miguelraz
Wannabe time bandit. Computational physics. Julia. Any comments/critiques/suggestions/PRs more than encouraged. 👍 Always looking to learn! 👍
Citation (CITATION.cff)
# Go to https://citation-file-format.github.io/cff-initializer-javascript/#/ to finish this cff-version: 1.2.0 title: ComplexDiff.jl message: >- If you use this software, please cite it using the metadata from this file. type: software authors:
GitHub Events
Total
- Watch event: 3
- Delete event: 3
- Push event: 8
- Pull request event: 7
- Create event: 5
Last Year
- Watch event: 3
- Delete event: 3
- Push event: 8
- Pull request event: 7
- Create event: 5
Committers
Last synced: 7 months ago
Top Committers
| Name | Commits | |
|---|---|---|
| mrg | m****z@c****x | 6 |
| dependabot[bot] | 4****] | 2 |
Committer Domains (Top 20 + Academic)
Issues and Pull Requests
Last synced: 7 months ago