We investigate implicit-explicit methods for differential systems with stiff and non-stiff parts. Stage order and order conditions are formulated and estimation of local discretization errors in fixed and variable stepsize environments is discussed. We also describe the construction of such methods with desirable accuracy and stability properties.
Local error estimation for implicit-explicit general linear methods
Zdzislaw Jackiewicz;Angelamaria Cardone;
2019
Abstract
We investigate implicit-explicit methods for differential systems with stiff and non-stiff parts. Stage order and order conditions are formulated and estimation of local discretization errors in fixed and variable stepsize environments is discussed. We also describe the construction of such methods with desirable accuracy and stability properties.File in questo prodotto:
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