Papers in International Journals

• Caetano, Constantino P.; Morgado, M. Luísa; Lima, Pedro M.; Hens, Niel; Nunes, Baltazar (2024) A fractional order SIR model describing hesitancy to the COVID-19 vaccination campaign in Portugal Applied Numerical Mathematics.

• Rosalía, T.; Ferrás, L. L.; Castelo, A.; Morgado, M. Luísa; Rebelo, Magda; et al (2024) A generalisation of the integral Maxwell model: the gK-BKZ model-frame invariance and analytical solutions Meccanica: 59, 363–384.

• Kulikova, Maria; Kulikov, Gennady Yu (2024) Continuous-discrete derivative-free extended Kalman filter based on Euler-Maruyama and Itô-Taylor discretizations: Conventional and square-root implementations European Journal of Control: 76, 100960.

• H.B. de Oliveira ; N. D. Lopes (2024) Continuous/discontinuous finite element approximation of a 2d Navier-Stokes problem arising in fluid confinement Int. J. Numer. Anal. Mod.: 21, 315-352.

• Kulikova, Maria; Kulikov, Gennady Yu (2024) Euler-Maruyama-based data-driven state restoration and parameter adaptation in stochastic neural fields with finite signal transmission rate IEEE Transactions on Information Theory: 70(6), 4571-4581.

• Kulikov, Gennady Yu; Kulikova, Maria (2024) NIRK-based mixed-type accurate continuous-discrete Gaussian filters with deterministically sampled expectation and covariance for state estimation in continuous-time stochastic process models with discrete measurements Journal of the Franklin Institute: 361(7), 106768.

• Nogueira, Pedro M.; Silvestre, Ana Leonor; Tiago, Jorge (2024) Steady Navier–Stokes Equations with Regularized Directional Do-Nothing Boundary Condition: Optimal Boundary Control for a Velocity Tracking Problem Applied Mathematics and Optimization: 10.1007/s00245-024-10216-4.

• Ferrás,L.L.; Morgado, M. Luísa; Rebelo, Magda (2023) A generalised distributed-order Maxwell model Math Meth Appl Sci., 1-20.

• Kulikov, Gennady Yu; Kulikova, Maria (2023) Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed Journal of the Franklin Institute: 360(1), 176-202.

• Talaei, Y.; Lima, Pedro M. (2023) An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions Computational and Applied Mathematics: 42, 193.

• Ribau, A. M.; Ferrás, L. L.; Morgado, M. Luísa; et al (2023) Analytical study of the annular flow of a generalised Phan-Thien--Tanner fluid Acta Mech, 1-11.

• Soares, Filipa; Ricardo Enguiça (2023) Automatic Completion of Data Gaps Applied to a System of Water Pumps 

• Teodoro, Filomena; Faria, João (2023) Navigators’ KAP About Zika infection Biometrics and Biostatistics international Journal, 34-38.

• Lima, Pedro M.; Kherkouche, K.; Bellour, A. (2023) Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method International Journal of Computer Mathematics: 100, 2063-2076.

• Kulikova, Maria; Kulikov, Gennady Yu (2023) On derivative-free extended Kalman filtering and its Matlab-oriented square-root implementations for state estimation in continuous-discrete nonlinear stochastic systems European Journal of Control: 73, 100886.

• Ferrás,L.L.; Rebelo, Magda; Morgado, M. Luísa (2023) The role of the weight function in the Generalised Distributed-Order Maxwell Model: the case of a distributed-springpot and a dashpot Applied Mathematical Modelling, 844-860.

• Bohner, M.; Hristova, S.; Malinowska, A. B.; Morgado, M. Luísa; Almeida, R. (2022)  A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol Comm. Nonl. Sci. Num. Simul.: 115, 106756.

• Sellountos, Euripides (2022)  Fast Multipole Boundary Element Method (FMM/BEM) for the solution of the Navier-Stokes in primitive variables based on the Burton and Miller formulation in two-dimensions Journal of Computational Physics, 471, 2022, 111615.

• Kulikov, Gennady Yu; Kulikova, Maria (2022) Hyperbolic-SVD-based square-root unscented Kalman filters in continuous-discrete target tracking scenarios IEEE Transactions on Automatic Control: 61(7), 366-373.

• Rouibah; Bellour, A.; Lima, Pedro M.; Rouibah; Bellour, A. (2022) Iterative continuous collocation method for for solving nonlinear Volterra Integral Equations Kragujevac Journal of Mathematics: 46, 635-648.

• Caetano, Constantino P.; Morgado, M. Luísa; et al (2022) Measuring the impact of COVID-19 vaccination and immunity waning: a modelling study for Portugal Vaccine, 7115-7121.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Silvestre, Ana Leonor (2022) Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems Advances in Computational Mathematics: 48(4), 44.

• Sequeira, T.; Lima, Pedro M. (2022) Numerical Simulations of One- and Two-dimensional Stochastic Neural Field Equations with Delay Journal of Computational Neuroscience: 50, 299-311.

• Lima, Pedro M.; Erlhagen W.; Kulikova, Maria; Kulikov, Gennady Yu (2022) Numerical solution of the stochastic neural field equation with applications to working memory Physica A: Statistical Mechanics and its Applications: 596, 127166.

• Ricardo Almeida; Morgado, M. Luísa (2022) Optimality conditions involving the Mittag-Leffler tempered fractional derivative Discrete & Continuous Dynamical Systems - S: 15 (3), 519-534.

• Kulikov, Gennady Yu; Kulikova, Maria (2022) Overall hyperbolic-singular-value-decomposition-based square-root solutions in Kalman filters with deterministically sampled mean and covariance for state estimation in continuous-discrete nonlinear stochastic systems European Journal of Control: 66, 100648.

• Rézio, Sofia; Andrade, Marina A. P.; Teodoro, Filomena (2022) Problem-Based Learning and Applied Mathematics  Mathematics: 10(16).

• Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022) Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements Computers in Biology and Medicine: 141: 105103.

• Fracas, Paolo; Zondervan, Edwin; Franke, Meik; Camarda, Kyle; Valtchev, Stanimir; Valtchev, Svilen S.  (2022) Techno-Economic Optimization Study of Interconnected Heat and Power Multi-Microgrids with a Novel Nature-Inspired Evolutionary Method Electronics: 11(19), 3147.

• Silvestre, Ana Leonor (2022) The fundamental solution of the steady 2D generalized Oseen equations Appl. Math. Letters: 124, 107613.

• Beatriz Machado; L. Antunes; Caetano, Constantino P.; João Paulo Freitas Pereira; Baltazar Nunes; Paula Patrício; Morgado, M. Luísa (2022) The impact of vaccination on the evolution of COVID-19 in Portugal Mathematical Biosciences and Engineering: 19 (1), 936-952.

• Kulikov, Gennady Yu; Kulikova, Maria (2022) Universal MATLAB-based square-root solutions in the family of continuous-discrete Gaussian filters for state estimation in nonlinear stochastic dynamic systems International Journal of Robust and Nonlinear Control: 32(15), 8227-8251.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2021)  Domain decomposition methods with fundamental solutions for Helmholtz problems with discontinuous source terms  Computers and Mathematics with Applications: 88, 16-32.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; Manuel Alves; Fernando Pinho; A. M. Afonso (2021) A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien-Tanner fluid J Eng Math 127, 7: 127, 7.

• N. D. Lopes; H.B. de Oliveira  (2021) Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem Computers and Mathematics with Application: 97, 122-152.

• Alves, Carlos J. S.; Serrão, Rodrigo G.; Silvestre, Ana Leonor (2021) Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows Appl. Numer. Math.: 170, 55-73.

• Alves, Carlos J. S.; Serrão, Rodrigo G. (2021) Fundamental solutions for the Stokes equations: numerical applications for 2D and 3D flows Applied Numerical Mathematics.

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo (2021) High order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations Math.Comput.Sci.: 15, 535-551.

• Khercouche, K.; Lima, Pedro M.; Bellour, A. (2021) Iterative collocation method for solving a class of nonlinear weakly singular Volterra integral equations Dolomites Research Notes on Approximation: 14, 33-41.

• Kulikov, Gennady Yu; Kulikova, Maria (2021) Itô-Taylor-based square-root unscented Kalman filtering methods for state estimation in nonlinear continuous-discrete stochastic systems European Journal of Control: 58, 101-113.

• Caetano, Constantino P.; Morgado, M. Luísa; Paula Patrício; João Paulo Freitas Pereira; Baltazar Nunes (2021) Mathematical modelling of the impact of non-pharmacological strategies to control the COVID-19 epidemic in Portugal Mathematics: 9 (10), 1084.

• Nemati, S.; Lima, Pedro M.; Torres, D. (2021) Numerical solution of a class of third-kind Volterra Integral Equations using Jacobi wavelets Numerical Algorithms: 86, 675-691.

• Kulikov, Gennady Yu; Lima, Pedro M.; Kulikova, Maria (2021) Numerical solution of the neural field equation in the presence of random disturbance. Journal of Computational and Applied Mathematics: 387: 112563.

• S. Bazm; Lima, Pedro M.; S. Nemati (2021) Numerical solution of two-dimensional Volterra-Urysohn integral equations using Euler and trapezoidal discretization Journal of Computational Mathematics: 398, 113628.

• Nemati, S; Lima, Pedro M.; Torres, D. (2021) Numerical solution of variable-order fractional differential equations using Bernoulli polynomials Fractal and Fractional: 5, 219.

• Kulikov, Gennady Yu; Kulikova, Maria (2021) Square-root high-degree cubature Kalman filters for state estimation in nonlinear continuous-discrete stochastic systems European Journal of Control: 59, 58-68.

• Morgado, M. Luísa; Magda rebelo; L. L. Ferrás (2021) Stable and convergent finite difference schemes on nonuniform time meshes for distributed-order diffusion equations Mathematics: 9, 1975.

• Elshehabey, Hillal M.; Silvestre, Ana Leonor (2021) Weak solutions to stationary shear thinning fluids with nonhomogeneous Dirichlet boundary conditions Nonlinear Anal. Theory Methods Appl.: 208, 11227.

• Kulikov, Gennady Yu; Kulikova, Maria (2020) A comparative study of Kalman-like filters for state estimation of turning aircraft in presence of glint noise IFAC-PapersOnLine: 53(2), 2335-2340.

• Sabermahani, S.; Ordokhani, Y.; Lima, Pedro M. (2020) A novel Lagrange operational matrix and tau-collocation method for solving variable-order fractional differential equations Iranian Journal of Science and Technology, Transactions A: 44, 127-135.