PathFinder: A Matlab/Octave package for oscillatory integration
PathFinder: A Matlab/Octave package for oscillatory integration - Published in JOSS (2025)
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Published in Journal of Open Source Software
Keywords
Repository
A Matlab/Octave package for oscillatory integration
Basic Info
Statistics
- Stars: 14
- Watchers: 2
- Forks: 5
- Open Issues: 4
- Releases: 3
Topics
Metadata Files
README.md
PathFinder
PathFinder is a Matlab/Octave toolbox for the numerical evaluation of highly oscillatory integrals. Specifically, PathFinder can efficiently evaluate integrals of the form
math
I = \int_{a}^b f(z)\exp(\mathrm{i}\omega g(z)) \mathrm{d}z,
where $g$ is a polynomial, $f$ is entire (analytic everywhere in $\mathbb{C}$), $\omega>0$ is a frequency parameter, and the endpoints $a$ and $b$ may be finite or infinite. Further, it is assumed that $I$ is a convergent integral and that $|f(z)|$ grows sub-exponentially as $|z|\to\infty$.
PathFinder is based on steepest descent contour deformation, but it can be easily used without a deep understanding of the underlying mathematics; it is sufficient to understand the conditions in the previous paragraph.
For information about installation, syntax and how to contribute, please refer to the full documentation.
Acknowledgments
I am very grateful for the guidance and advice of Daan Huybrechs and David Hewett throughout the development of this software. I am also grateful for financial support from KU Leuven project C14/15/05 and EPSRC projects EP/S01375X/1, EP/V053868/.
Some of the code in PathFinder relies on other projects. I am grateful to Dimas Aryo, whose code [3] is used for the Dijkstra shortest path algorithm. Copyright information for this code can be found in: src/shortest_path/dijkstra/license.txt. I am also grateful to Dirk Laurie and Walter Gautschi for writing the Golub-Welsch algorithm used to generate Gaussian quadrature rules.
Owner
- Name: Andrew Gibbs
- Login: AndrewGibbs
- Kind: user
- Location: London, UK
- Company: University College London
- Website: http://www.homepages.ucl.ac.uk/~ucahagi/
- Repositories: 11
- Profile: https://github.com/AndrewGibbs
JOSS Publication
PathFinder: A Matlab/Octave package for oscillatory integration
Authors
University College London, United Kingdom
Editor
Olexandr Konovalov
Tags
Matlab Octave Oscillatory integrals High-frequency scattering Catastrophe integrals Steepest descent Coalescing saddlesGitHub Events
Total
- Issues event: 3
- Watch event: 2
- Issue comment event: 10
- Push event: 49
- Pull request review event: 3
- Pull request review comment event: 1
- Pull request event: 1
- Create event: 2
Last Year
- Issues event: 3
- Watch event: 1
- Issue comment event: 10
- Push event: 49
- Pull request review event: 3
- Pull request review comment event: 1
- Pull request event: 1
- Create event: 2
Dependencies
- actions/checkout v4 composite
- actions/upload-artifact v1 composite
- openjournals/openjournals-draft-action master composite
- actions/checkout v3 composite
- matlab-actions/run-tests v1 composite
- matlab-actions/setup-matlab v1 composite
- octave
- octave_kernel