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  • Lotka-Volterra 2d (singular Lagrangian)
    • Gauss-Legendre VPRK Methods
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  • Massless Charged Particle
    • Explicit Runge-Kutta Methods
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    • Explicit Runge-Kutta Methods
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      • Gauss(1)
      • Gauss(2)
      • Gauss(3)
      • Gauss(4)
      • Gauss(5)
      • Gauss(6)
    • Lobatto Runge-Kutta Methods
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    • Convergence
  • Guiding Center 4d (Barely Passing)
    • Gauss-Legendre Runge-Kutta Methods
    • Lobatto Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
    • Symmetric SRK3 VPRK Method
    • Radau IIA VPRK Methods
  • Guiding Center 4d (Barely Trapped)
    • Gauss-Legendre Runge-Kutta Methods
    • Lobatto Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
    • Symmetric SRK3 VPRK Method
    • Radau IIA VPRK Methods
  • Guiding Center 4d (Deeply Passing)
    • Gauss-Legendre Runge-Kutta Methods
    • Lobatto Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
    • Symmetric SRK3 VPRK Method
    • Radau IIA VPRK Methods
  • Guiding Center 4d (Deeply Trapped)
    • Gauss-Legendre Runge-Kutta Methods
    • Lobatto Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
    • Symmetric SRK3 VPRK Method
    • Radau IIA VPRK Methods
  • Guiding Center 4d, Small Tokamak (Barely Passing)
    • Gauss-Legendre Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
  • Guiding Center 4d, Small Tokamak (Barely Trapped)
    • Gauss-Legendre Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
  • Guiding Center 4d, Small Tokamak (Deeply Passing)
    • Gauss-Legendre Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
  • Guiding Center 4d, Small Tokamak (Deeply Trapped)
    • Gauss-Legendre Runge-Kutta Methods
    • Gauss-Legendre VPRK Methods
  • Guiding Center 4d (1st Poincaré Invariant)
    • Tokamak, Gauss-Legendre Runge-Kutta Methods
    • Tokamak, Gauss-Legendre VPRK Methods
    • Symmetric Field, Gauss-Legendre VPRK Methods
  • Guiding Center 4d (2nd Poincaré Invariant)
    • Tokamak, Gauss-Legendre Runge-Kutta Methods
    • Tokamak, Gauss-Legendre VPRK Methods
    • Symmetric Field, Gauss-Legendre VPRK Methods
  • Standard Map
    • 1st Poincaré Integral Invariant
    • 2nd Poincaré Integral Invariant
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  • Point Vortices
  • Gauss-Legendre Runge-Kutta Methods
  • Gauss-Legendre Runge-Kutta Methods
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Point Vortices with Gauss-Legendre Runge-Kutta Methods

Gauss(1)

Plots

Point Vortices

Gauss(2)

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Point Vortices

Gauss(3)

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Point Vortices

Gauss(4)

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Point Vortices

Gauss(5)

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Point Vortices

Gauss(6)

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Point Vortices

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