@Article{CiCP-10-4,
author = {},
title = {Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {4},
pages = {844--866},
abstract = {<p style="text-align: justify;">For a new nonlinear iterative method named as Picard-Newton (P-N) iterative
method for the solution of the time-dependent reaction-diffusion systems, which
arise in non-equilibrium radiation diffusion applications, two time step control methods
are investigated and a study of temporal accuracy of a first order time integration
is presented. The non-equilibrium radiation diffusion problems with flux limiter are
considered, which appends pesky complexity and nonlinearity to the diffusion coefficient. Numerical results are presented to demonstrate that compared with Picard
method, for a desired accuracy, significant increase in solution efficiency can be obtained
by Picard-Newton method with the suitable time step size selection.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.310110.161010a},
url = {https://global-sci.com/article/80944/picard-newton-iterative-method-with-time-step-control-for-multimaterial-non-equilibrium-radiation-diffusion-problem}
}