Newton iteration damping

The modified Newton iteration, and the reason that damping is effective, can be explained in physical terms. Chemical-kinetics problems often have an enormous range of characteristic scales—this is the source of stiffness, as discussed earlier. These problems are also highly nonlinear. 

Iwork(17) contains the maximum number of damped Newton iterations permitted for the completion of the initial state see Info(ll). If the input value of Iwork(17) is zero, the code resets it to 10. 

This equation system is solved using damped Newton iterations. The Newton solver normally converges within 3 to 4 iterations. However, calculation of residual requires the evaluation of Nernst potential and the exchange current densities which are dependent on the partial pressures of Ha, HaO, and Oa at the three-phase boundary. 

This equation system is solved using a damped Newton iteration, which converges in three to four iterations. The software is written in FORTRAN 77 and integrated into the Detailed Chemistry software package DETCHEM [2],... 

SL Scaler used for step-limiting, or damping, the Newton-Raphson iteration. 

Iwork(16) contains the maximum number of iterations permitted for the damped Newton method in an integration step. The default value of 4 is used if the input value is anything less. 

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