Pedro Miguel Lima

Publication Activity (10 Years)

Years Active: 2007-2022
Publications (10 Years): 22

Top Topics

Numerical Solution

Finite Element Method

Boundary Value Problem

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Publications

Tiago F. Sequeira, Pedro Miguel Lima
Numerical simulations of one- and two-dimensional stochastic neural field equations with delay. J. Comput. Neurosci. 50 (3) (2022)
Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov
Pattern Recognition Facilities of Extended Kalman Filtering in Stochastic Neural Fields. ECC (2022)
Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov
Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements. Comput. Biol. Medicine 141 (2022)
Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov
Accurate Itô-Taylor-Discretization-Based State Estimation in Stochastic Neural Field Equations with Infinite Signal Transmission Rate. ECC (2022)
Somayeh Nemati, Pedro Miguel Lima, Delfim F. M. Torres
Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials. CoRR (2021)
Sohrab Bazm, Pedro Miguel Lima, Somayeh Nemati
Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type. J. Comput. Appl. Math. 398 (2021)
Somayeh Nemati, Pedro Miguel Lima, Delfim F. M. Torres
Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. Numer. Algorithms 86 (2) (2021)
Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov
Reconstruction of Hidden States in Stochastic Neural Field Equations with Infinite Signal Transmission Rate. ICSTCC (2021)
Gennady Yu. Kulikov, Pedro Miguel Lima, Maria V. Kulikova
Numerical solution of the neural field equation in the presence of random disturbance. J. Comput. Appl. Math. 387 (2021)
Maria V. Kulikova, Gennady Yu. Kulikov, Pedro Miguel Lima
Accuracy Study in Numerical Simulations to Stochastic Neural Field Equations. ICSTCC (2020)
Somayeh Nemati, Pedro Miguel Lima, Delfim F. M. Torres
Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. CoRR (2020)
Gennady Yu. Kulikov, Maria V. Kulikova, Pedro Miguel Lima
Numerical Simulation of Neural Fields with Finite Transmission Speed and Random Disturbance. ICSTCC (2019)
Somayeh Nemati, Pedro Miguel Lima, Delfim F. M. Torres
A numerical approach for solving fractional optimal control problems using modified hat functions. Commun. Nonlinear Sci. Numer. Simul. 78 (2019)
Maria V. Kulikova, Gennady Yu. Kulikov, Pedro Miguel Lima
Effective Numerical Solution to Two-Dimensional Stochastic Neural Field Equations. ICSTCC (2019)
Pedro Miguel Lima, Azzeddine Bellour, Mikhail V. Bulatov
Numerical solution of integro-differential equations arising from singular boundary value problems. Appl. Math. Comput. 336 (2018)
Somayeh Nemati, Pedro Miguel Lima
Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions. Appl. Math. Comput. 327 (2018)
Pedro Miguel Lima, Wolfram Erlhagen
Numerical simulations of two-dimensional neural fields with applications to working memory. ECC (2018)
Somayeh Nemati, Pedro Miguel Lima
Numerical solution of a third-kind Volterra integral equation using an operational matrix technique. ECC (2018)
Neville J. Ford, Pedro Miguel Lima, Patricia M. Lumb
Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Appl. Math. Comput. 293 (2017)
Neville J. Ford, Pedro Miguel Lima, Patricia M. Lumb
Mathematical Modelling and Numerical Simulations in Nerve Conduction. BIOSIGNALS (2015)
Pedro Miguel Lima, Evelyn Buckwar
Numerical Solution of the Neural Field Equation in the Two-Dimensional Case. SIAM J. Sci. Comput. 37 (6) (2015)
Mário M. Graça, Pedro Miguel Lima
Root finding by high order iterative methods based on quadratures. Appl. Math. Comput. 264 (2015)
Gennady Y. Kulikov, Pedro Miguel Lima, Maria Luísa Morgado
Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics. J. Comput. Appl. Math. 262 (2014)
Somayeh Nemati, Pedro Miguel Lima, Yadollah Ordokhani
Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials. J. Comput. Appl. Math. 242 (2013)
Maria Luísa Morgado, Neville J. Ford, Pedro Miguel Lima
Analysis and numerical methods for fractional differential equations with delay. J. Comput. Appl. Math. 252 (2013)
G. Hastermann, Pedro Miguel Lima, Maria Luísa Morgado, Ewa B. Weinmüller
Density profile equation with p-Laplacian: Analysis and numerical simulation. Appl. Math. Comput. 225 (2013)
Pedro Miguel Lima, Maria Luísa Morgado
Efficient computational methods for singular free boundary problems using smoothing variable substitutions. J. Comput. Appl. Math. 236 (12) (2012)
M. V. Bulatov, Pedro Miguel Lima
Two-dimensional integral-algebraic systems: Analysis and computational methods. J. Comput. Appl. Math. 236 (2) (2011)
Pedro Miguel Lima, M. Filomena Teodoro, Neville J. Ford, Patricia M. Lumb
Analytical and numerical investigation of mixed-type functional differential equations. J. Comput. Appl. Math. 234 (9) (2010)
Maria Luísa Morgado, Pedro Miguel Lima
Numerical solution of a class of singular free boundary problems involving the m-Laplace operator. J. Comput. Appl. Math. 234 (9) (2010)
Pedro Miguel Lima, M. Filomena Teodoro, Neville J. Ford, Patricia M. Lumb
Finite element solution of a linear mixed-type functional differential equation. Numer. Algorithms 55 (2-3) (2010)
Neville J. Ford, Patricia M. Lumb, Pedro Miguel Lima, M. Filomena Teodoro
The numerical solution of forward-backward differential equations: Decomposition and related issues. J. Comput. Appl. Math. 234 (9) (2010)
Maria Luísa Morgado, Pedro Miguel Lima
-Laplace operator. Numer. Algorithms 55 (2-3) (2010)
Christopher T. H. Baker, Neville J. Ford, Teresa Diogo, Pedro Miguel Lima, Adélia Sequeira
Preface. J. Comput. Appl. Math. 234 (9) (2010)
G. Kitzhofer, Othmar Koch, Pedro Miguel Lima, Ewa Weinmüller
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32 (3) (2007)
G. Kitzhofer, Othmar Koch, Pedro Miguel Lima, Ewa Weinmüller
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32 (3) (2007)