We investigate implicit-explicit general linear 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.

Error estimation for implicit-explicit general linear methods

Angelamaria Cardone;Zdzislaw Jackiewicz
2019

Abstract

We investigate implicit-explicit general linear 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4729334
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