Lotka-Volterra 2d (singular Lagrangian) with Lobatto VPRK Methods and Projections
VPRKLobattoIIIA(2)
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(2) with standard projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(2) with symmetric projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(2) with symplectic projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(2) with midpoint projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIA(3)
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(3) with standard projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(3) with symmetric projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(3) with symplectic projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(3) with midpoint projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIA(4)
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(4) with standard projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(4) with symmetric projection
Simulation crashed after 1 of 10000 time steps: singular matrix.
LobattoIIIA(4) with symplectic projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(4) with midpoint projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIA(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIB(2)
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(2) with standard projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(2) with symmetric projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(2) with symplectic projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(2) with midpoint projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIB(3)
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(3) with standard projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(3) with symmetric projection
Simulation crashed after 2 of 10000 time steps: singular matrix.
LobattoIIIB(3) with symplectic projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(3) with midpoint projection
Simulation crashed after 1 of 10000 time steps: singular matrix.
LobattoIIIB(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIB(4)
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(4) with standard projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(4) with symmetric projection
Simulation crashed after 7 of 10000 time steps: solver error – NaN detected in direction vector.
LobattoIIIB(4) with symplectic projection
Simulation crashed after 0 of 10000 time steps: singular matrix.
LobattoIIIB(4) with midpoint projection
Simulation crashed after 3 of 10000 time steps: solver error – NaN detected in direction vector.
LobattoIIIB(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIC(2)
LobattoIIIC(2) with standard projection
LobattoIIIC(2) with symmetric projection
LobattoIIIC(2) with symplectic projection
LobattoIIIC(2) with midpoint projection
LobattoIIIC(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIC(3)
LobattoIIIC(3) with standard projection
LobattoIIIC(3) with symmetric projection
LobattoIIIC(3) with symplectic projection
LobattoIIIC(3) with midpoint projection
LobattoIIIC(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIC(4)
LobattoIIIC(4) with standard projection
LobattoIIIC(4) with symmetric projection
LobattoIIIC(4) with symplectic projection
LobattoIIIC(4) with midpoint projection
LobattoIIIC(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIID(2)
LobattoIIID(2) with standard projection
LobattoIIID(2) with symmetric projection
LobattoIIID(2) with symplectic projection
LobattoIIID(2) with midpoint projection
LobattoIIID(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIID(3)
LobattoIIID(3) with standard projection
LobattoIIID(3) with symmetric projection
LobattoIIID(3) with symplectic projection
LobattoIIID(3) with midpoint projection
LobattoIIID(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIID(4)
LobattoIIID(4) with standard projection
LobattoIIID(4) with symmetric projection
LobattoIIID(4) with symplectic projection
LobattoIIID(4) with midpoint projection
LobattoIIID(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIE(2)
LobattoIIIE(2) with standard projection
LobattoIIIE(2) with symmetric projection
LobattoIIIE(2) with symplectic projection
LobattoIIIE(2) with midpoint projection
LobattoIIIE(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIE(3)
LobattoIIIE(3) with standard projection
LobattoIIIE(3) with symmetric projection
LobattoIIIE(3) with symplectic projection
LobattoIIIE(3) with midpoint projection
LobattoIIIE(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIE(4)
LobattoIIIE(4) with standard projection
LobattoIIIE(4) with symmetric projection
LobattoIIIE(4) with symplectic projection
LobattoIIIE(4) with midpoint projection
LobattoIIIE(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIF(2)
LobattoIIIF(2) with standard projection
LobattoIIIF(2) with symmetric projection
LobattoIIIF(2) with symplectic projection
LobattoIIIF(2) with midpoint projection
LobattoIIIF(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIF(3)
LobattoIIIF(3) with standard projection
LobattoIIIF(3) with symmetric projection
LobattoIIIF(3) with symplectic projection
LobattoIIIF(3) with midpoint projection
LobattoIIIF(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIF(4)
LobattoIIIF(4) with standard projection
LobattoIIIF(4) with symmetric projection
LobattoIIIF(4) with symplectic projection
LobattoIIIF(4) with midpoint projection
LobattoIIIF(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIG(2)
LobattoIIIG(2) with standard projection
LobattoIIIG(2) with symmetric projection
LobattoIIIG(2) with symplectic projection
LobattoIIIG(2) with midpoint projection
LobattoIIIG(2) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIG(3)
LobattoIIIG(3) with standard projection
LobattoIIIG(3) with symmetric projection
LobattoIIIG(3) with symplectic projection
LobattoIIIG(3) with midpoint projection
LobattoIIIG(3) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.
VPRKLobattoIIIG(4)
LobattoIIIG(4) with standard projection
LobattoIIIG(4) with symmetric projection
LobattoIIIG(4) with symplectic projection
LobattoIIIG(4) with midpoint projection
LobattoIIIG(4) with internal stage projection
Simulation crashed after 0 of 10000 time steps: MethodError.