Most of the popular implicit-explicit (IMEX) Runge–Kutta (R-K) methods existing in the literature suffer from the phenomenon of order reduction in the stiff regime when applied to stiff problems containing a non-stiff term and a stiff term. Specifically, order reduction is observed when the problem becomes increasingly stiff. In this paper, our motivation is to derive a third-order IMEX R-K method for stiff problems that has a better temporal order of convergence than other well-known IMEX R-K methods. A comparison with other third-order methods shows substantial potential of this new method.
|Titolo:||On an accurate third order implicit-explicit Runge-Kutta method for stiff problems|
|Data di pubblicazione:||2009|
|Citazione:||On an accurate third order implicit-explicit Runge-Kutta method for stiff problems / BOSCARINO S. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - 59:7(2009), pp. 1515-1528.|
|Appare nelle tipologie:||1.1 Articolo in rivista|