Eigentools

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

Installation

Eigentools can be pip installed, though it requires Dedalus, which has non-pip installable dependencies. See the installation instructions for details.

Documentation

Documentation (including detailed API documentation) can be found at Read the Docs.

Developers

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)

Support

Eigentools was developed with support from the Research Corporation under award Scialog Collaborative Award (TDA) ID# 24231.