@Article{JCM-39-4,
author = {Huang, Bin and Xiao, Aiguo and Zhang, Gengen},
title = {Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations},
journal = {Journal of Computational Mathematics},
year = {2021},
volume = {39},
number = {4},
pages = {599--620},
abstract = {<p style="text-align: justify;">Implicit-explicit Runge-Kutta-Rosenbrock methods are proposed to solve nonlinear stiff
ordinary differential equations by combining linearly implicit Rosenbrock methods with explicit Runge-Kutta methods. First, the general order conditions up to order 3 are obtained.
Then, for the nonlinear stiff initial-value problems satisfying the one-sided Lipschitz condition and a class of singularly perturbed initial-value problems, the corresponding errors of
the implicit-explicit methods are analysed. At last, some numerical examples are given to
verify the validity of the obtained theoretical results and the effectiveness of the methods.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2005-m2019-0238},
url = {https://global-sci.com/article/84244/implicit-explicit-runge-kutta-rosenbrock-methods-with-error-analysis-for-nonlinear-stiff-differential-equations}
}