A new mesh selection strategy with stiffness detection for explicit Runge–Kutta methods

Francesca Mazzia and A.M. Nagy

Applied Mathematics and Computation, 2015, vol. 255, issue C, 125-134

Abstract: In this paper, we develop a new mesh selection strategy based on the computation of some conditioning parameters which allows to give information about the conditioning and the stiffness of the problem. The reliability of the proposed algorithm is demonstrated by some numerical experiments. We observe that “when an initial value problem is run on a computer, the results may appear plausible even if they are unreliable because of some unrecognized numerical instability” (Miller, 1967) [23]. The additional information about the behavior of the numerical solution provided by the new mesh selection algorithm are, therefore, of great interest for potential users of a numerical computer code.

Keywords: Mesh selection; Conditioning; Stiffness; ODE problems; Initial value problems; Runge–Kutta methods (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:255:y:2015:i:c:p:125-134

DOI: 10.1016/j.amc.2014.03.065

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