63 citations · 117 across the 10 of their papers we have counts for
11 papers
Pattern Recognition Facilities of Extended Kalman Filtering in Stochastic Neural Fields
Maria V. Kulikova, Gennady Yu. Kulikov
In mathematical neuroscience, a special interest is paid to a working memory mechanism in the neural tissue modeled by the Dynamic Neural Field (DNF) in the presence of model uncer…
An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
Younes Talaei, Pedro M Lima
This paper is concerned with the numerical solution of the third kind Volterra integral equations with non-smooth solutions based on the recursive approach of the spectral Tau meth…
Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivativ…
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…
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…
Legendre wavelet collocation method combined with the Gauss--Jacobi quadrature for solving fractional delay-type integro-differential equations
S. Nemati, P. M. Lima, S. Sedaghat
In this work, we present a collocation method based on the Legendre wavelet combined with the Gauss--Jacobi quadrature formula for solving a class of fractional delay-type integro-…
A numerical approach for solving fractional optimal control problems using modified hat functions
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We introduce a numerical method, based on modified hat functions, for solving a class of fractional optimal control problems. In our scheme, the control and the fractional derivati…
Numerical Solution of Stochastic Neural Fields with Delays
Pedro M. Lima, Evelyn Buckwar
We introduce a new numerical algorithm for solving the stochastic neural field equation (NFE) with delays. Using this algorithm we have obtained some numerical results which illust…
Numerical Simulations in Two-Dimensional Neural Fields
Pedro M. Lima, Evelyn Buckwar
In the present paper we are concerned with a numerical algorithm for the approximation of the two-dimensional neural field equation with delay. We consider three numerical examples…
Numerical Solution of the Neural Field Equation in the Two-dimensional Case
Pedro M. Lima, Evelyn Buckwar
We are concerned with the numerical solution of a class integro-differential equations, known as Neural Field Equations, which describe the large-scale dynamics of spatially struct…
Root Finding by High Order Iterative Methods Based on Quadratures
Mario M. Graça, Pedro M. Lima
We discuss a recursive family of iterative methods for the numerical approximation of roots of nonlinear functions in one variable. These methods are based on Newton-Cotes closed q…