@inproceedings{184d1b6d2bca43fa86ea9ae4b64993b1,
title = "Construction of IMEX methods with inherent Runge-Kutta stability",
abstract = "We describe construction of implicit-explicit (IMEX) general linear methods (GLMs) with inherent Runge-Kutta stability (IRKS) for differential systems with non-stiff and stiff processes. We will use the extrapolation approach to remove implicitness in the non-stiff terms to compute unknown stage values in terms of stage derivatives at the previous step and those already computed in the current step. Highly stable IMEX GLMs of stage order equal to the order were derived up to the order four. These methods do not suffer from order reduction phenomenon which is confirmed by numerical experiments.",
keywords = "IMEX methods, construction of highly stable methods, general linear methods, inherent Runge-Kutta stability",
author = "Micha{\l} Bra{\'s} and Giuseppe Izzo and Zdzislaw Jackiewicz",
note = "Publisher Copyright: {\textcopyright} 2016 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 ; Conference date: 23-09-2015 Through 29-09-2015",
year = "2016",
month = jun,
day = "8",
doi = "10.1063/1.4951753",
language = "English (US)",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras and Simos, {Theodore E.}",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015",
}