TY - JOUR
T1 - Extrapolated Implicit-Explicit Runge-Kutta Methods
AU - Cardone, Angelamaria
AU - Jackiewicz, Zdzislaw
AU - Sandu, Adrian
AU - Zhang, Hong
N1 - Funding Information:
This work was supported by National Group of Computing Science (GNCS-INDAM): GNCS 2014 Projects ”Stabilità nella modellistica numerica di equazioni differenziali ed integrali”.
PY - 2014/1
Y1 - 2014/1
N2 - We investigate a new class of implicit-explicit singly diagonally implicit Runge-Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by stage values in the previous step. This approach was first proposed by the authors in context of implicit-explicit general linear methods.
AB - We investigate a new class of implicit-explicit singly diagonally implicit Runge-Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by stage values in the previous step. This approach was first proposed by the authors in context of implicit-explicit general linear methods.
KW - Runge-Kutta methods
KW - construction of highly stable methods
KW - error and stability analysis
KW - extrapolated IMEX methods
KW - non-stiff and stiff processes
UR - http://www.scopus.com/inward/record.url?scp=84897676350&partnerID=8YFLogxK
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U2 - 10.3846/13926292.2014.892903
DO - 10.3846/13926292.2014.892903
M3 - Article
AN - SCOPUS:84897676350
SN - 1392-6292
VL - 19
SP - 18
EP - 43
JO - Mathematical Modelling and Analysis
JF - Mathematical Modelling and Analysis
IS - 1
ER -