Lotka-Volterra 2d (singular Lagrangian) with Gauss-Legendre VPRK Methods and Projections
VPRKGauss(1)

SymplecticGauss(1) with standard projection

SymplecticGauss(1) with symmetric projection

SymplecticGauss(1) with symplectic projection

SymplecticGauss(1) with midpoint projection

SymplecticGauss(1) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKGauss(2)

SymplecticGauss(2) with standard projection

SymplecticGauss(2) with symmetric projection

SymplecticGauss(2) with symplectic projection

SymplecticGauss(2) with midpoint projection

SymplecticGauss(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKGauss(3)

SymplecticGauss(3) with standard projection

SymplecticGauss(3) with symmetric projection

SymplecticGauss(3) with symplectic projection

SymplecticGauss(3) with midpoint projection

SymplecticGauss(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKGauss(4)

SymplecticGauss(4) with standard projection

SymplecticGauss(4) with symmetric projection

SymplecticGauss(4) with symplectic projection

SymplecticGauss(4) with midpoint projection

SymplecticGauss(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKGauss(5)

SymplecticGauss(5) with standard projection

SymplecticGauss(5) with symmetric projection

SymplecticGauss(5) with symplectic projection

SymplecticGauss(5) with midpoint projection

SymplecticGauss(5) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKGauss(6)

SymplecticGauss(6) with standard projection

SymplecticGauss(6) with symmetric projection

SymplecticGauss(6) with symplectic projection

SymplecticGauss(6) with midpoint projection

SymplecticGauss(6) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.