Lotka-Volterra 2d (singular Lagrangian) with Symplectic Lobatto VPRK Pairs and Projections
VPRKLobattoIIIAIIIB(2)
Simulation crashed after 607 of 10000 time steps: solver error – NaN detected in direction vector.
LobattoIIIAIIIB2 with standard projection
LobattoIIIAIIIB2 with symmetric projection
LobattoIIIAIIIB2 with symplectic projection
LobattoIIIAIIIB2 with midpoint projection
LobattoIIIAIIIB2 with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIAIIIB(3)
Simulation crashed after 1917 of 10000 time steps: solver error – NaN detected in direction vector.
LobattoIIIAIIIB3 with standard projection
LobattoIIIAIIIB3 with symmetric projection
LobattoIIIAIIIB3 with symplectic projection
LobattoIIIAIIIB3 with midpoint projection
LobattoIIIAIIIB3 with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIAIIIB(4)
Simulation crashed after 1370 of 10000 time steps: solver error – NaN detected in direction vector.
LobattoIIIAIIIB4 with standard projection
LobattoIIIAIIIB4 with symmetric projection
LobattoIIIAIIIB4 with symplectic projection
LobattoIIIAIIIB4 with midpoint projection
LobattoIIIAIIIB4 with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIBIIIA(2)
LobattoIIIBIIIA2 with standard projection
LobattoIIIBIIIA2 with symmetric projection
LobattoIIIBIIIA2 with symplectic projection
LobattoIIIBIIIA2 with midpoint projection
LobattoIIIBIIIA2 with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIBIIIA(3)
LobattoIIIBIIIA3 with standard projection
LobattoIIIBIIIA3 with symmetric projection
LobattoIIIBIIIA3 with symplectic projection
LobattoIIIBIIIA3 with midpoint projection
LobattoIIIBIIIA3 with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIBIIIA(4)
LobattoIIIBIIIA4 with standard projection
LobattoIIIBIIIA4 with symmetric projection
LobattoIIIBIIIA4 with symplectic projection
LobattoIIIBIIIA4 with midpoint projection
LobattoIIIBIIIA4 with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.