Yee's TVD schemes
 

For Yee's TVD scheme it is just the modification of the Jacobian matricies A = dF/dU B = dG/dU

A = 0.5(A_i + A_(i+0.5) - R_A*Phi*R_inverse_B) B = 0.5(B_i + B_(i+0.5) - R_B*Phi*R_inverse_B)

where:

Phi is that defined by Yee R_A = M*T R_inverse_A = T_inverse*M_inverse