Towards a code for nonstiff differential systems based on general linear methods with inherent Runge–Kutta stability

A Abdi, Z Jackiewicz - Applied Numerical Mathematics, 2019 - Elsevier
Applied Numerical Mathematics, 2019Elsevier
… Various issues are discussed which are relevant to the development of the code for
nonstiff differential systems based on a class of general linear methods with inherent Runge–Kutta
stability. … It is the purpose of this paper to discuss various issues related to the
development of a code for nonstiff differential systems. This code is based on the class of
general linear methods (GLMs) with inherent Runge–Kutta stability (IRKS) introduced
recently in [6], [12], [17]. For the initial-value problem(1) { y ′ ( x ) = f ( y ( x ) ) , x ∈ [ x 0 , X ] …
Abstract
Various issues are discussed which are relevant to the development of the code for nonstiff differential systems based on a class of general linear methods with inherent Runge–Kutta stability.
Elsevier
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