Point Vortices with Gauss-Legendre VPRK Methods and Projections

VPRKGauss(1)

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Point Vortices

SymplecticGauss(1) with standard projection

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Point Vortices

SymplecticGauss(1) with symmetric projection

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Point Vortices

SymplecticGauss(1) with symplectic projection

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Point Vortices

SymplecticGauss(1) with midpoint projection

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Point Vortices

SymplecticGauss(1) with internal stage projection

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Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(2)

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Point Vortices

SymplecticGauss(2) with standard projection

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Point Vortices

SymplecticGauss(2) with symmetric projection

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Point Vortices

SymplecticGauss(2) with symplectic projection

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Point Vortices

SymplecticGauss(2) with midpoint projection

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Point Vortices

SymplecticGauss(2) with internal stage projection

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Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(3)

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Point Vortices

SymplecticGauss(3) with standard projection

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Point Vortices

SymplecticGauss(3) with symmetric projection

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Point Vortices

SymplecticGauss(3) with symplectic projection

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Point Vortices

SymplecticGauss(3) with midpoint projection

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Point Vortices

SymplecticGauss(3) with internal stage projection

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Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(4)

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Point Vortices

SymplecticGauss(4) with standard projection

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Point Vortices

SymplecticGauss(4) with symmetric projection

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Point Vortices

SymplecticGauss(4) with symplectic projection

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Point Vortices

SymplecticGauss(4) with midpoint projection

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Point Vortices

SymplecticGauss(4) with internal stage projection

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Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(5)

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Point Vortices

SymplecticGauss(5) with standard projection

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Point Vortices

SymplecticGauss(5) with symmetric projection

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Point Vortices

SymplecticGauss(5) with symplectic projection

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Point Vortices

SymplecticGauss(5) with midpoint projection

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Point Vortices

SymplecticGauss(5) with internal stage projection

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Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(6)

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Point Vortices

SymplecticGauss(6) with standard projection

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Point Vortices

SymplecticGauss(6) with symmetric projection

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Point Vortices

SymplecticGauss(6) with symplectic projection

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Point Vortices

SymplecticGauss(6) with midpoint projection

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Point Vortices

SymplecticGauss(6) with internal stage projection

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Simulation crashed after 0 of 10000 time steps: MethodError.