output
20032022
most citedSquare-root algorithms for maximum correntropy estimation of linear discrete-time systems in presence of non-Gaussian noise

80 citations

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5 papers · 1 filter

math.NA2021★ 1 cited

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…

math.NA2020★ 18 cited

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…

math.NA2019★ 30 cited

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-…

math.NA2015

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…

math.NA2014★ 1 cited

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…