Massless Charged Particle with Gauss-Legendre VPRK Methods and Projections

VPRKGauss(1)

Plots

Massless Charged Particle

SymplecticGauss(1) with standard projection

Plots

Massless Charged Particle

SymplecticGauss(1) with symmetric projection

Plots

Massless Charged Particle

SymplecticGauss(1) with symplectic projection

Plots

Massless Charged Particle

SymplecticGauss(1) with midpoint projection

Plots

Massless Charged Particle

SymplecticGauss(1) with internal stage projection

Plots

Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(2)

Plots

Massless Charged Particle

SymplecticGauss(2) with standard projection

Plots

Massless Charged Particle

SymplecticGauss(2) with symmetric projection

Plots

Massless Charged Particle

SymplecticGauss(2) with symplectic projection

Plots

Massless Charged Particle

SymplecticGauss(2) with midpoint projection

Plots

Massless Charged Particle

SymplecticGauss(2) with internal stage projection

Plots

Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(3)

Plots

Massless Charged Particle

SymplecticGauss(3) with standard projection

Plots

Massless Charged Particle

SymplecticGauss(3) with symmetric projection

Plots

Massless Charged Particle

SymplecticGauss(3) with symplectic projection

Plots

Massless Charged Particle

SymplecticGauss(3) with midpoint projection

Plots

Massless Charged Particle

SymplecticGauss(3) with internal stage projection

Plots

Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(4)

Plots

Massless Charged Particle

SymplecticGauss(4) with standard projection

Plots

Massless Charged Particle

SymplecticGauss(4) with symmetric projection

Plots

Massless Charged Particle

SymplecticGauss(4) with symplectic projection

Plots

Massless Charged Particle

SymplecticGauss(4) with midpoint projection

Plots

Massless Charged Particle

SymplecticGauss(4) with internal stage projection

Plots

Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(5)

Plots

Massless Charged Particle

SymplecticGauss(5) with standard projection

Plots

Massless Charged Particle

SymplecticGauss(5) with symmetric projection

Plots

Massless Charged Particle

SymplecticGauss(5) with symplectic projection

Plots

Massless Charged Particle

SymplecticGauss(5) with midpoint projection

Plots

Massless Charged Particle

SymplecticGauss(5) with internal stage projection

Plots

Simulation crashed after 0 of 10000 time steps: MethodError.

VPRKGauss(6)

Plots

Massless Charged Particle

SymplecticGauss(6) with standard projection

Plots

Massless Charged Particle

SymplecticGauss(6) with symmetric projection

Plots

Massless Charged Particle

SymplecticGauss(6) with symplectic projection

Plots

Massless Charged Particle

SymplecticGauss(6) with midpoint projection

Plots

Massless Charged Particle

SymplecticGauss(6) with internal stage projection

Plots

Simulation crashed after 0 of 10000 time steps: MethodError.