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AVAILABLE_METHODS.rst

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Implemented Integration Methods

Explicit Methods

Adaptive Methods

  1. Runge-Kutta 14(12) (Feagin, 2009)
  2. Runge-Kutta 10(8) (Feagin, 2009)
  3. Runge-Kutta 8(7) (Dormand & Prince, 1980)
  4. Runge-Kutta 4(5) with Cash-Karp Coefficients
  5. Adaptive Heun-Euler Method

Fixed Step Methods

  1. Symplectic BABs9o7H Method (Mads & Nielsen, 2015, BAB's9o7H)
  2. Symplectic ABAs5o6HA Method (Mads & Nielsen, 2015, ABAs5o6H)
  3. Runge-Kutta 5 - The 5th order integrator from RK45 with Cash-Karp Coefficients.
  4. Runge-Kutta 4 - The classic RK4 integrator
  5. Midpoint Method
  6. Heun's Method
  7. Euler's Method
  8. Euler-Trapezoidal Method

Implicit Methods

Adaptive Methods

  1. Lobatto IIIC 4(2) (Kroulíková, 2017)
  2. Radau IIA 5(2) (Kroulíková, 2017)

Fixed Step Methods

  1. Backward Euler
  2. Implicit Midpoint
  3. Crank-Nicolson
  4. Lobatto IIIA 2
  5. Lobatto IIIB 2
  6. Lobatto IIIC 2
  7. Radau IA 3
  8. Radau IIA 3
  9. Lobatto IIIA 4
  10. Lobatto IIIB 4
  11. Gauss-Legendre 4
  12. Radau IA 5
  13. Radau IIA 6