Research Notes

Notes, tutorials, code samples, and interactive demonstrations of methods and techniques in reduced-order modeling, data-driven analysis, and machine learning.

Dynamic Mode Decomposition (DMD)

Content coming soon. Add your DMD notes, methods, and implementations here.

Topics to cover:

  • Classical DMD algorithm
  • Optimized DMD
  • Compressed DMD
  • Multi-resolution DMD
  • Time-delay DMD
  • Code samples and examples

Proper Orthogonal Decomposition (POD)

Content coming soon. Add your POD techniques and implementations here.

Topics to cover:

  • POD basics and theory
  • Snapshots method
  • Galerkin projection
  • POD-ROM applications
  • Code implementations

Data Science & Machine Learning

Content coming soon. Add your data science methods and techniques here.

Topics to cover:

  • Time-series analysis
  • Statistical learning
  • Predictive analytics
  • Deep learning applications
  • Best practices and tips

Teaching Notes

Content coming soon. Add your teaching notes, course materials, and educational content here.

Topics to cover:

  • Course materials
  • Lecture notes
  • Problem sets and solutions
  • Teaching resources
  • Student resources

Sample Code & Implementations

Content coming soon. Add your code samples, GitHub links, and implementations here.

Code samples to add:

  • DMD implementations (MATLAB, Python)
  • POD routines
  • Data processing scripts
  • Visualization tools
  • Utility functions

Interactive Demos

Content coming soon. Embed interactive demos, Jupyter notebooks, or visualization tools here.

Demo ideas:

  • Interactive DMD demonstrations
  • Flow visualization tools
  • Parameter exploration tools
  • Jupyter notebook embeds