Papers in International Journals

• Seyedallaei, Sonia; Diogo, Teresa; Rebelo, Magda (2017) Analytical and computational methods for a class of nonlinear singular integral equations Applied Numerical Mathematics: 114, 2-17.

• Kulikov, Gennady Yu; Kulikova, Maria (2017) Do the contemporary cubature and unscented Kalman filtering methods outperform always the extended Kalman filter? IFAC-PapersOnLine: 50(1), 3762-3767.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2017) Extending the method of fundamental solutions to non-homogeneous elastic wave problems Applied Numerical Mathematics: 115, 299-313.

• Hoai, T.V. ; An, P. T. ; Hai, N.N.  (2017) Multiple shooting approach for computing approximately shortest paths on convex polytopes Journal of Computational and Applied Mathematics: 317, 235-246.

• Weiner, R ; Kulikov, Gennady Yu; Beck, S.; Brud, J. (2017) New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations Journal of Computational and Applied Mathematics: 316, 380-391.

• Kulikova, Maria; Kulikov, Gennady Yu (2017) NIRK-based accurate continuous-discrete extended Kalman filters for estimating continuous-time stochastic target tracking models Journal of Computational and Applied Mathematics: 316, 260-270.

• Ford, N.J.; Lima, Pedro M.; Lumb, P.M. (2017) Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation Applied Mathematics and Computation: 293, 448-460.

• Morgado, M. Luísa; Ferrás, L.; Rebelo, Magda; Ford, N. (2017) Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method Applied Numerical Mathematics: 114, 108-123.

• Teodoro, Filomena (2017) Numerical Solution of a Delay-Advanced Differential Equation from Physiology Applied Mathematics & Information Sciences: 11(5), 1287-1297.

• Teodoro, Filomena (2017) Numerical Solution of a Delay-Advanced Equation from Acoustics International Journal of Mechanics: 11, 107-114.

• Alves, Carlos J. S.; Mamud, Roberto; Martins, Nuno F. M.; Roberty, Nilson C. (2017) On Inverse Problems for Characteristic Sources in Helmholtz Equations Mathematical Problems in Engineering: 2017, ID 2472060.

• Teodoro, Filomena; Carla Simão (2017) Perception about pediatric hypertension Journal of Computational and Applied Mathematics: 312, 209-215.

• Diogo, Teresa; Lima, Pedro M.; Pedas, Arvet; Vainikko,Gennadi (2017) Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations Applied Numerical Mathematics: 114, 63–76.

• Kulikov, Gennady Yu; Kulikova, Maria (2017) Square-root Kalman-like filters for estimation of stiff continuous-time stochastic systems with ill-conditioned measurements IET Control Theory and Applications: 11(9), 1420-1425.

• Kulikov, Gennady Yu; Kulikova, Maria (2017) The continuous-discrete extended Kalman filter revisited Russian Journal of Numerical Analysis and Mathematical Modelling: 32(1), 27-38.

• Almeida, R.; Malinowska, A.B. ; Morgado, M. Luísa; Odzijewicz, T. (2017) Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems Journal of Mechanics of Materials and Stuctures: 12(1), 3–21.

• Ravi, K. ; Rassias, J.M.; Pinelas, Sandra; Sabarinathan, S.  (2016) A Fixed Point Approach to the Stability of Decic Functional Equation in Quasi-\beta-Normed Spaces PanAmerica Math Journal: 26(2), 1-21.

• Trang, L. H.; Kozma, A. ; An, P. T. ; Diehl, M. (2016) A sequential convex programming algorithm for minimizing a sum of Euclidean norms with non-convex constraints Optimization Methods and Software: 31, 187-203.

• Morgado, M. Luísa (2016) Chebyshev spectral approximation of distributed order differential Equations International Journal of Dynamical Systems and Differential Equations: 6(2), 117–128.

• Salvarangam, S.; Geetha, S.; Thandapani, E.; Pinelas, Sandra (2016) Classification of Solutions of Second Order Nonlinear Neutral Difference Equations of Mixed Type Journal Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algoritms: 23, 433-447.

• João Garcia; Teodoro, Filomena; Rita Cerdeira; Luís M. R. Coelho; Kumar Prashant ; M. Graça Carvalho (2016) Developing a methodology to predict PM10 concentrations in urban areas using Generalized Linear Models Enviromental Technology: 37(18), 2316-2325.

• Kulikov, Gennady Yu; Kulikova, Maria (2016) Estimating the state in stiff continuous-time stochastic systems within extended Kalman filtering SIAM Journal on Scientific Computing: 38(6), A3565-A3588.

• Ravi, K. ; Rassias, J.M.; Pinelas, Sandra; Suresh, S. (2016) General Solutions and Stability of Quattuordecic Functional Equation in Quasi \beta – Normed Spaces Advances in Pure Mathematics: 6, 921-941.

• Thandapani, E. ; Manju, K.; Pinelas, Sandra (2016) Interval Oscillation Criteria for Second-order Forced Impulsive Delay Differential Equations with Damping Term SpringerPlus: 5:558, 1-16.

• Damázio, P.D.; Manholi, P.; Silvestre, Ana Leonor (2016) L^q-theory of the Kelvin–Voigt equations in bounded domains Journal of Differential Equations: 260(11), 8242-8260.

• Narasimman, P. ; Ravi, K.; Pinelas, Sandra (2016) Modeling the Additive Functional Equations Through RSM Matrices Journal of Advances in Mathematics: 12(10), 6714-6719.

• Tripathy, A.K.; Santra, S.S.; Pinelas, Sandra (2016) Necessary and sufficient condition for asymptotic behavior of solutions of a class of first order impulsive systems Advances in Dynamical Systems and Applications: 11(2), 135-145.

• Catarino, P. ; Morgado, M. Luísa (2016) On Generalized Jacobsthal and Jacobsthal-Lucas polynomials Analele Stiintifice ale Universitatii Ovidius Constanta: 24(3), 61-78.

• Graça, M.M. ; Lima, Pedro M. (2016) On High Order Barycentric Root-Finding Methods Tendências em Matemática Aplicada e Computacional: 17(3), 321-330.

• Berezansky, L. ; Pinelas, Sandra (2016) Oscillation Properties for a Scalar Linear Difference Equation of Mixed Type Mathematica Bohemica: 2, 169-182.

• Santra, S.S.; Pinelas, Sandra (2016) Qualitative behaviour for second order nonlinear delay differential equations of neutral type Global Journal of Mathematics: 8(3).

• Kulikov, Gennady Yu; Kulikova, Maria (2016) The accurate continuous-discrete extended Kalman filter for radar tracking IEEE Transactions on Signal Processing: 64(4), 948-958.

• Seyedallaei, Sonia; Diogo, Teresa; Rebelo, Magda (2016) The Jacobi collocation method for a class of nonlinear Volterra integral equations with weaky singular kernel Journal of Scientific Computing: (69)2, 673-695.

• Abreu, Luiz; Colaço, Marcelo J.; Orlande, Helcio R. B.; Alves, Carlos J. S. (2016) Thermography detection of contact failures in double layered materials using the reciprocity functional approach Applied Thermal Engineering: 100, 1173-1178.

• P. J. S. Pereira; N. D. Lopes; L. Trabucho (2015)  Soliton-type and other travelling wave solutions for an improved class of non-linear sixth-order Boussinesq equations Nonlinear Dynamics: 82, 783-818.

• Colaço, Marcelo J.; Alves, Carlos J. S. (2015) A backward reciprocity function approach to estimate spatial transient themal contact conductance in double-layered materials using non-intrusive measurements Numerical Heat Transfer (A): 68(2), 117-132.

• K. Ravi; Pinelas, Sandra; A. Edwin Raj (2015) A fixed Point Approach to Generalized Hyers-Ulam Stability of Quadratic Functional Equation in Matrix Normed Space Enlightenment of Pure and Applied Mathematics: 1(2), 37-52.

• N. J. Ford; Morgado, M. Luísa; Rebelo, Magda (2015) A nonpolynomial collocation method for fractional terminal value problems Journal of Computational and Applied Mathematics: 275, 392-402.

• Kulikov, Gennady Yu; Weiner, R. (2015) A singly diagonally implicit two-step peer triple with global error control for stiff ordinary differential equations SIAM Journal on Scientific Computing: 37(3), A1593–A1613.

• Antunes, Pedro R. S.; Rui A. C. Ferreira (2015) An augmented-RBF method for solving fractional Sturm-Liouville eigenvalue problems SIAM Journal of Scientific Computing: 37(1), A515-A535.

• An, P. T. ; Giang, D. T.; Trang, L. H. (2015) An exact algorithm for minimizing a sum of Euclidean norms on rays in 2D and 3D Numerical Functional Analysis and Optimization: 36(4), 405-418.

• N. J. Ford; Morgado, M. Luísa; Rebelo, Magda (2015) An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time Electronic Transactions on Numerical Analysis: 44, 289 - 305.

• Bulatov, M.; Lima, Pedro M.; Than, Do Tien (2015) An integral method for the numerical solution of nonlinear singular boundary value problems Bulletin of the South Ural State University, Ser. Mathematical Modelling, Programming & Computer Software: 8, 5-13.

• Masoero, David; Raimondo, Andrea; Antunes, Pedro R. S. (2015) Critical behaviour for scalar nonlinear waves Physica D: Nonlinear Phenomena: 292–293, 1-7.

• André Lemos; Ana S. Abraão; Bruno R Cruz; Morgado, M. Luísa; Rebelo, Magda; Fernando M. Nunes (2015) Effect of granular characteristics on the viscoelastic and mechanical properties of native chestnut starch (Castanea sativa Mill) Food Hydrocolloids: 51, 305-317.

• Kulikov, Gennady Yu (2015) Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems Computational Mathematics and Mathematical Physics: 55(6), 983-1003.

• Luis L. Ferrás; Neville J. Ford; Morgado, M. Luísa; João M. Nóbrega; Rebelo, Magda (2015) Fractional Pennes’ Bioheat Equation: Theoretical and Numerical Studies Fractional Calculus and Applied Analysis: 18(4), 1080 -- 1106.

• Kulikov, Gennady Yu; Kulikova, Maria (2015) High-order accurate continuous-discrete extended Kalman filter for chemical engineering European Journal of Control: 21, 14-26.

• K. Ravi; Pinelas, Sandra; R. Jamina (2015) HUR-UGR-UJR Stabilities of a kl-cubic Funcional Equation in Quasi-beta-normed Spaces: Direct and Fixed Point Methods Enlightenment of Pure and Applied Mathematics: 1(2), 61-78.

• Morgado, M. Luísa; Morgado, L. F.; Silva, N.; Morais, R. (2015) Mathematical modelling of cylindrical electromagnetic vibration energy harvesters International Journal of Computer Mathematics: 92(1), 101-109.