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Stability
analysis for numerical methods applied to an inner ear
model
Kimberley Lindenberg, Kees Vuik and Pieter W. J. van Hengel
Vol. 10 (2017), No. 2, 181–196
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Abstract |
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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. |
Keywords
inner ear model, numerical time-integration method,
modified Sielecki, fourth-order Runge–Kutta, numerically
stable, numerically unstable
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Mathematical Subject Classification 2010
Primary: 65L06, 65L07, 65L20, 65M12
Secondary: 65L05, 65L10
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Milestones
Received: 9 May 2014
Revised: 14 April 2015
Accepted: 25 March 2016
Published: 10 November 2016
Communicated by Kenneth S. Berenhaut
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Authors |
| Kimberley Lindenberg | |
| Delft University of Technology Faculty of Electrical Engineering, Mathematics and Computer Science Department of Applied Mathematical Analysis 2628 CD Delft The Netherlands INCAS3 9401 HJ Assen The Netherlands |
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| Kees Vuik | |
| Delft University of Technology Faculty of Electrical Engineering, Mathematics and Computer Science Department of Applied Mathematical Analysis 2628 CD Delft The Netherlands |
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| Pieter W. J. van Hengel | |
| INCAS3 9401 HJ Assen The Netherlands |
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