Papers in International Journals

• Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2018) Trefftz methods with cracklets and their relation to BEM and MFS Engineering Analysis and Boundary Elements: 95, 93-104.

• Hishida, T. ; Silvestre, Ana Leonor; Takahashi, T.  (2017) A boundary control problem for the steady self- propelled motion of a rigid body in a Navier-Stokes fluid Annales de l’Institut Henri Poincare (C) Non Linear Analysis: 34 (6), 1507-1541.

• Lima, Pedro M.; Morgado, M. Luísa; Schöbinger, M. ; Weinmüller, E.B. (2017) A Novel computational approach to singular free boundary problems in ordinary differential equations Applied Numerical Mathematics: 114, 97-107.

• 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.

• 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.

• 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.

• 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.

• 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.

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

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• Lima, Pedro M.; Buckwar, E. (2015) Numerical solution of the neural field equation in the two-dimensional case SIAM Journal o Scientific Computing: 37, B962-B979.

• Morgado, M. Luísa; Rebelo, Magda (2015) Numerical approximation of distributed order nonlinear reaction-diffusion equations Journal of Computational and Applied Mathematics: 275, 216-227.

• L. F. Morgado; Morgado, M. Luísa (2015) Numerical modelling transient current in the time-of-flight experiment with time-fractional advection-diffusion equations Journal of Mathematical Chemistry: 53(3), 951-956.

• Lima, Pedro M.; E. Buckwar (2015) Numerical solution of the neural field equation in the two-dimensional case SIAM Journal of Scientific Computing: 37, B962- B979.

• Shurong Sun,; Morgado, M. Luísa; Jehad Alzabut; Ivanka Stamova (2015) Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics Abstract and Applied Analysis, 1-2.

• Graca, M.M.; Lima, Pedro M. (2015) Root finding by high order iterative methods based on quadratures Applied Mathematics and Computation: 264, 466-482.

• Kulikov, Gennady Yu; Lima, Pedro M.; Morgado, M. Luísa (2014) Analysis and Numerical Approximation of Singular Boundary Value Problems with the P-Laplacian in Fluid Mechanics Journal of Computational and Applied Mathematics: 262, 87-104.

• Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. (2014) Computational Methods for a Mathematical Model of Propagation of Nerve Impulses in Myelinated Axons Applied Numerical Mathematics: 85, 38-53.

• Bulatov, Mikhail V.; Lima, Pedro M.; Weinmüller, Ewa B.  (2014) Existence and uniqueness of solutions to weakly singular integral-algebraic and integro differential equations Central European Journal of Mathematics: 12(2), 308-321.

• Ford , N.; Morgado, M. Luísa; Rebelo, Magda (2014) High order numerical methods for fractional terminal value problems Computational Methods in Applied Mathematics: 14(1), 55-70.

• Silvestre, Ana Leonor; Takahashi, Takeo (2014) The Motion of a Fluid-Rigid Ball System at the Zero Limit of the Rigid Ball Radius Archive for Rational Mechanics and Analysis: 211(3), 991-1012.

• Morgado, M. Luísa; Ford, N. J.; Lima, Pedro M. (2013) Analysis and Numerical Methods for Fractional Differential Equations with Delay Journal of Computational and Applied Mathematics: 252, 159-168.

• Diogo, Teresa; Vainikko, G. (2013) Applicability of spline collocation to Cordial Volterra equations Mathematical Modelling and Analysis: 18(1), 1-21.

• Saberi-Nadjafi, J.; Mehrabinezhad, M.; Diogo, Teresa (2013) Coiflet-Galerkin method for linear Volterra integral equations Applied Mathematics and Computation: 221, 469-483.

• Hastermann, G.; Lima, Pedro M.; Morgado, M. Luísa; Weinmüller, E.B. (2013) Density profile equation with p-Laplacian: analysis and numerical simulation Applied Mathematics and Computation: 225, 550-561.

• Diogo, Teresa; Ma, Jingtang; Rebelo, Magda (2013) Fully Discretized Collocation Methods for Nonlinear Singular Volterra Integral Equations Journal of Computational and Applied Mathematics: 247, 84-101.

• Ford, N.; Morgado, M. Luísa; Rebelo, Magda (2013) Nonpolynomial collocation approximation of solutions to fractional differential equations Fractional Calculus and Applied Analysis: 16(4), 874-891.

• Lima, Pedro M.; Nemati, S.; Ordokhani, Y. (2013) Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials Journal of Computational and Applied Mathematics: 242, 53-69.

• Rebelo, Magda; Diogo, Teresa; Mckee, Sean (2012) A Mathematical Treatment of the Fluorescence Capillary-Fill Device SIAM Journal on Applied Mathematics: 72(4), 1081-1112.

• N. D. Lopes; P.J.S. Pereira; L. Trabucho (2012) A numerical analysis of a class of generalized Boussinesq-type equations using continuous/discontinuous FEM International Journal for Numerical Methods in Fluids: 69, 7, 1186-1218.

• Ford, N. J.; Morgado, M. Luísa (2012) Distributed Order Equations as Boundary Value Problems Computers & Mathematics with Applications: 64(10), 2973-2981.

• Lima, Pedro M.; Morgado, M. Luísa (2012) Efficient computational methods for singular free boundary problems using smoothing variable substitutions Journal of Computational and Applied Mathematics: 236(12), 2981-2989.

• Silvestre, Ana Leonor (2012) Existence and Uniqueness of Time-Periodic Solutions with Finite Kinetic Energy for the Navier-Stokes Equations in R^3 Nonlinearity: 25(1), 37-55.

• Silvestre, Ana Leonor; Takahashi, Takéo (2012) On the Motion of a Rigid Body with a Cavity Filled with a Viscous Liquid Proceedings of the Royal Society of Edinburgh Section A-Mathematics: 142(2), 391-423.

• Ford, Neville J.; Morgado, M. Luísa (2011) Fractional Boundary Value Problems: Analysis and Numerical Methods Fractional Calculus and Applied Analysis: 14(4), 554-567.