Forward elimination and backward substitution algorithm are used to address the difference

equation system of the models.

The basic

equation system for the polynomial mapping function z([zeta]) was constructed in [1].

Since there is no change in the money market, the new differential

equation system in the atypical case is comprised of:

In this section, we'll show the main theoretical results which rules numerical methods of solving differential equations and differential

equation systems.

In the compressed form the discretized

equation system can be written in the following way:

In this case, the phase values and phase slopes for shorts #21 and #22 were very similar and therefore the

equation system had not enough information to properly carry out the characterization of the transition.

In the following section the LHI solution of the generic convection-diffusion-reaction equation is detailed and the resulting non-linear

equation system is presented.

A ten

equation system was tried to solve in the cluster, but due to the high RAM requirements, the program did not run.

The resulting linear

equation system is solved with 80 steps of the different multigrid methods.

Further, ternary equilibrium curve was predicted to solve the non-linear

equation system by modified Newton-Rapson method when Wilson's parameters and equilibrium constants from the analyzed binary system were taken into account.

After running the program 50 times for each type of mutation, we get the results represented in tables 2, 3, 4, and 5 for TSP, 0/1 Knapsack, Shubert function, and linear

equation system problems respectively.

A linear

equation system between these heat flows and fluid temperatures is obtained involving a thermal resistance matrix, which is symmetric (even if the pipes are different or placed in a non-symmetric way).