Numerical Methods for QBC

• Differences from slab-geometry methods

• Field equation solved in
  • Complex periodic-tridiagonal solve in for each

  • Smoothing
    • FIR complex periodic-tridiagonals in and for each

    • form factors

  • All matrices set by magnetic geometry: constant

• Periodic boundary conditions:
  • Periodic in

  • Standard toroidal periodicity in :
    

  • Radial periodicity with a twist so that appears continuous across radial boundary:
    
    • Toroidal and radial periodicity consistent: Choose so that

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