These are the state variables, time/space flux functions and the dimension of the system

Out[219]=

{U1, U2, U3, V1, V2, V3}

Out[220]=

{U1, U2, U3, V1, V2, V3}

Out[221]=

1 - 1/(U1^2 + U2^2 + U3^2)^(1/2)

Out[222]=

{V1, V2, V3, U1 (1 - 1/(U1^2 + U2^2 + U3^2)^(1/2)), U2 (1 - 1/(U1^2 + U2^2 + U3^2)^(1/2)), U3 (1 - 1/(U1^2 + U2^2 + U3^2)^(1/2))}

Out[223]=

6

Time-Flux-matrix, Space-Flux-matrix:

Out[230]//MatrixForm=

( 1   0   0   0   0   0 )            0   1   0   0   0   0            0   0    ...            0   0   0   1   0   0            0   0   0   0   1   0            0   0   0   0   0   1

Out[231]//MatrixForm=

(                                                                                      ...                                               0                                                  0

This is the quasi-linear flux matrix:

Out[234]//MatrixForm=

(                                                                                      ...                                               0                                                  0

Eigenvalues:

Out[239]//MatrixForm=

(                                  )             -1               1            ... ----------------]                           2     2     2                    Sqrt[U1  + U2  + U3 ]


Created by Mathematica  (October 15, 2004)