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

Out[183]=

{u, v, w}

Out[184]=

{u, v, w}

Out[185]=

{u a[w] + v b[w], u c[w] + v d[w], f[w]}

Out[186]=

3

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

Out[193]//MatrixForm=

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

Out[194]//MatrixForm=

(                                                                    ′         & ...      ′           0                               0                               f       [w]

This is the quasi-linear flux matrix:

Out[197]//MatrixForm=

(                                                                    ′         & ...      ′           0                               0                               f       [w]

Eigenvalues, Right Eigenvectors:

Out[202]//MatrixForm=

( 1                         2                                   2   )          ... a[w]  + 4 b[w] c[w] - 2 a[w] d[w] + d[w] ])           2              ′           f       [w]

Out[203]//MatrixForm=

(                                                                                      ...                                                                                                  1


Created by Mathematica  (October 15, 2004)