Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Fast simulation of solid tumors thermal ablation treatments with a 3D reaction diffusion model
Computers in Biology and Medicine
SIAM Journal on Numerical Analysis
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems (Classics in Applied Mathematics Classics in Applied Mathemat)
Computational and conditioning issues of a discrete model for cochlear sensorineural hypoacusia
Applied Numerical Mathematics
| Hi-index | 31.45 |
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.