2 papers
math.DS2020
Numerical investigation of a neural field model including dendritic processing
Daniele Avitabile, Stephen Coombes, Pedro M. Lima
We consider a simple neural field model in which the state variable is dendritic voltage, and in which somas form a continuous one-dimensional layer. This neural field model with d…
math.NA2020
Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We propose a spectral collocation method, based on the generalized Jacobi wavelets along with the Gauss-Jacobi quadrature formula, for solving a class of third-kind Volterra integr…