Eigentools is a set of tools for studying linear eigenvalue problems. The underlying eigenproblems are solved using Dedalus, which provides a domain-specific language for partial differential equations. Eigentools extends Dedalus's EigenvalueProblem object and provides
- automatic rejection of unresolved eigenvalues
- simple plotting of specified eigenmodes
- simple plotting of spectra
- computation of pseudospectra for any Differential-Algebraic Equations with user-specifiable norms
- tools to find critical parameters for linear stability analysis
- ability to project eigenmode onto 2- or 3-D domain for visualization
- ability to output projected eigenmodes as Dedalus-formatted HDF5 file to be used as initial conditions for Initial Value Problems
- simple plotting of drift ratios (both ordinal and nearest) to evaluate tolerance for eigenvalue rejection
Eigentools can be pip installed, though it requires Dedalus, which has non-pip installable dependencies. See the installation instructions for details.
Documentation (including detailed API documentation) can be found at Read the Docs.
If you are upgrading from version 1 to version 2, you can find a guide to API changes here
Eigentools welcomes community contributions from issue reports to code contributions. For details, please see our contribution policy.
The core development team consists of
- Jeff Oishi (jsoishi@gmail.com)
- Keaton Burns (keaton.burns@gmail.com)
- Susan Clark (susanclark19@gmail.com)
- Evan Anders (evan.anders@northwestern.edu)
- Ben Brown (bpbrown@gmail.com)
- Geoff Vasil (geoffrey.m.vasil@gmail.com)
- Daniel Lecoanet (daniel.lecoanet@northwestern.edu)
Eigentools was developed with support from the Research Corporation under award Scialog Collaborative Award (TDA) ID# 24231.