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Dissertations

2014

B-spline

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Basis Function Approaches For Two Dimensional Cochlear Models, Lihua Li May 2014

Basis Function Approaches For Two Dimensional Cochlear Models, Lihua Li

Dissertations

The human cochlea possesses the amazing ability of analyzing audio signals. The structures and mechanisms behind its characteristic response to sound stimuli has been an active area of research for decades. It has been demonstrated that mathematical cochlear modeling poses a promising alternative to discover the elusive activities in an in vivo cochlea. However, despite the successful application of numerical methods such as the Wentzel-Kramers-Brillouin (WKB) method, finite difference method (FDM) and finite element method (FEM), the critical effects of the choice of basis functions have not been studied exclusively for the numerical solutions of cochlea models. This work presents …