GYRE Fundamentals

This chapter explains the fundamentals of how GYRE works. Although it aims to be user-friendly, GYRE is nevertheless a complex piece of software; thus, getting it to produce the ‘best’ results requires some degree of insight into the algorithms it uses to calculate mode eigenfrequencies and eigenfunctions.

• The Stretched String Problem
  • Analytic Solution
  • Separation
  • Discretization
  • Linear System
  • Scanning for Eigenfrequencies
  • Eigenfunction Reconstruction
• From Stretched String to GYRE
  • Separation
  • Discretization
  • Linear System
  • Scanning for Eigenfrequencies
• Limitations of the Numerical Method
  • Insufficient Spatial Resolution
  • Insufficient Frequency Resolution