Fast numerical solution of nonlinear nonlocal cochlear models

A fast full second order time-step algorithm for some recently proposed nonlinear, nonlocal active models for the inner ear is analyzed here. In particular, we emphasize the properties of discretized systems and the convergence of a hybrid direct-iterative solver for its approximate solution in view of the parameters of the continuous model. We found that the proposed solver is faster than standard sparse direct solvers for all the considered discrete models. Numerical tests confirm that the proposed techniques are crucial in order to get fast and reliable simulations.