Usage – Classes and functions

• Formalizing equations and equation systems
  • Algebraic equations
  • Equation systems
  • Concrete subclasses of AbstractEquation
• Solvers
  • Newton solver
  • Pseudo-arclength continuation
• ODEs
  • AbstractODE
  • Nonautonomous ODEs
  • Autonomous ODEs
  • Linear time-periodic ODEs
• FFT and harmonic balance
  • HBMEquation: Harmonic balance for nonautonomous ODEs
  • HBMSystem: Treating autonomous and nonautonomous ODEs
  • Fourier: Fast Fourier transform methods
• Stability methods
  • Abstract parent class
  • Stability of equilibria
  • Abstract parent class for Hill matrix methods
  • Koopman-Hill projection methods
  • Classical sorting-based Hill methods
  • Explicit Runge Kutta single-pass time integration method
• Addendum: Shooting method
  • ShootingBVP
  • ShootingSystem
  • ShootingPhaseAnchor