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2017 Stability analysis for numerical methods applied to an inner ear model
Kimberley Lindenberg, Kees Vuik, Pieter W. J. van Hengel
Involve 10(2): 181-196 (2017). DOI: 10.2140/involve.2017.10.181


Diependaal, Duifhuis, Hoogstraten and Viergever investigated three time-integration methods to solve a simplified one-dimensional model of the human cochlea. Two of these time-integration methods are dealt with in this paper, namely fourth-order Runge–Kutta and modified Sielecki. The stability of these two methods is examined, both theoretically and experimentally. This leads to the conclusion that in the case of the fourth-order Runge–Kutta method, a bigger time step can be used in comparison to the modified Sielecki method. This corresponds with the conclusion drawn in the article by Diependaal, Duifhuis, Hoogstraten and Viergever.


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Kimberley Lindenberg. Kees Vuik. Pieter W. J. van Hengel. "Stability analysis for numerical methods applied to an inner ear model." Involve 10 (2) 181 - 196, 2017.


Received: 9 May 2014; Revised: 14 April 2015; Accepted: 25 March 2016; Published: 2017
First available in Project Euclid: 13 December 2017

zbMATH: 1354.92019
MathSciNet: MR3574296
Digital Object Identifier: 10.2140/involve.2017.10.181

Primary: 65L06 , 65L07 , 65L20 , 65M12
Secondary: 65L05 , 65L10

Keywords: fourth-order Runge–Kutta , inner ear model , modified Sielecki , numerical time-integration method , numerically stable , numerically unstable

Rights: Copyright © 2017 Mathematical Sciences Publishers


Vol.10 • No. 2 • 2017
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