Papers in International Journals

• 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.

• Babolian, E.; Bazm, S.; Lima, Pedro M. (2011) Numerical Solution of Nonlinear Two-Dimensional Integral Equations Using Rationalized Haar Functions Communications in Nonlinear Science and Numerical Simulation: 16(3), 1164-1175.

• Bulatov, M.V. ; Lima, Pedro M. (2011) Two-dimensional integral-algebraic systems: analysis and computational methods Journal of Computational and Applied Mathematics: 236(12), 132-140.

• Rebelo, Magda; Diogo, Teresa (2010) A Hybrid Collocation Method for a Nonlinear Volterra Integral Equation with Weakly Singular Kernel Journal of Computational and Applied Mathematics: 234(9), 2859-2869.

• Antunes, Pedro R. S.; Valtchev, Svilen S.  (2010) A Meshfree Numerical Method for Acoustic Wave Propagation Problems in Planar Domains with Corners and Cracks Journal of Computational and Applied Mathematics: 234(9), 2646-2662.

• Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Analytical and Numerical Investigation of Mixed-Type Functional Differential Equations Journal of Computational and Applied Mathematics: 234(9), 2826-2837.

• Morgado, M. Luísa; Lima, Pedro M. (2010) Finite Difference Solution of a Singular Boundary Value Problem for the P-Laplace Operator Numerical Algorithms: 55(2-3), 337-348.

• Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Finite Element Solution of a Linear Mixed-Type Functional Differential Equation Numerical Algorithms: 55(2-3), 301-320.

• Lima, Pedro M.; Morgado, M. Luísa (2010) Numerical Modelling of Oxygen Diffusion in Cells with Michaelis-Menten Uptake Kinetics Journal of Mathematical Chemistry: 48(1), 145-158.

• Morgado, M. Luísa; Lima, Pedro M. (2010) Numerical Solution of a Class of Singular Free Boundary Problems Involving the M-Laplace Operator Journal of Computational and Applied Mathematics: 234(9), 2838-2847.

• Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, Filomena (2010) The Numerical Solution of Forward-Backward Differential Equations: Decomposition and Related Issues Journal of Computational and Applied Mathematics: 234(9), 2745-2756.

• Lima, Pedro M.; Morgado, M. Luísa (2009) Analytical-numerical investigation of a singular boundary value problem for a generalized Emden–Fowler equation Journal of Computational and Applied Mathematics: 229(2), 480-487.

• Diogo, Teresa (2009) Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations Journal of Computational and Applied Mathematics: 229(2), 363-372.

• Teodoro, Filomena; Lima, Pedro M.; Ford, N.; Lumb, P. (2009) New approach to the numerical solution of forward-backward equations Frontiers of Mathematics in China: 4(1), 155-168.

• Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. (2009) New Approach to the Numerical Solution of Forward-Backward Equations Frontiers of Mathematics in China: 4(1), 155-168.

• Galdi, Giovanni P.; Silvestre, Ana Leonor (2009) On the Motion of a Rigid Body in a Navier-Stokes Liquid Under the Action of a Time-Periodic Force Indiana University Mathematics Journal: 58(6), 2805-2842.

• Alves, Carlos J. S.; Silvestre, Ana Leonor; Takahashi, Takeo; Tucsnak, Marius (2009) Solving Inverse Source Problems Using Observability. Applications to the Euler-Bernoulli Plate Equation SIAM Journal on Control and Optimization: 48(3), 1632-1659.

• Silvestre, Ana Leonor (2009) Steady Solutions with Finite Kinetic Energy for a Perturbed Navier-Stokes System in R-3 Journal of Differential Equations: 247(7), 2124-2139.

• Valtchev, Svilen S. ; Roberty, Nilson C. (2008) A Time-Marching MFS Scheme for Heat Conduction Problems Engineering Analysis with Boundary Elements: 32(6), 480-493.

• Martins, Nuno F. M.; Silvestre, Ana Leonor (2008) An Iterative MFS Approach for the Detection of Immersed Obstacles Engineering Analysis with Boundary Elements: 32(6), 517-524.

• Konyukhova, N.B.; Lima, Pedro M.; Morgado, M. Luísa; Soloviev, M.B. (2008) Bubbles and droplets in nonlinear physics models: analysis and numerical simulation of singular nonlinear boundary value problems Computational Mathematics and Mathematical Physics: 48(11), 2018-2058.

• Diogo, Teresa; Lima, Pedro M. (2008) Superconvergence of collocation methods for a class of weakly singular Volterra integral equations Journal of Computational and Applied Mathematics: 218, 307-316.

• Kitzhofer, G.; Koch, O.; Lima, Pedro M.; Weinmueller, E. (2007) Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics Journal of Scientific Computing: 32(3), 411-424.

• Alves, Carlos J. S.; Kress, Rainer; Silvestre, Ana Leonor (2007) Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations J. Inverse Ill-Posed Probl.: 15 (5), 461-481.

• Ford, NJ; Diogo, Teresa; Lima, Pedro M.; Thomas, S. (2007) Numerical modelling of qualitative behaviour of solutions to convolution integral equations J. Computational and Applied Mathematics: 205, 849 – 858..

• Galdi, G. P.; Pileckas, K.; Silvestre, Ana Leonor (2007) On the unsteady Poiseuille flow in a pipe Z. Angew. Math. Phys.: 58(6), 994-1007.

• Diogo, Teresa; Ford, N.J; Lima, Pedro M.; Thomas, S. (2007) Solution of a singular integral equation by a split- interval method  International Journal of Numerical Analysis and Modeling: (167)4, 63-73.

• Galdi, Giovanni P.; Silvestre, Ana Leonor (2007) The steady motion of a Navier-Stokes liquid around a rigid body Arch. Rational Mech. Anal.: 3, 371-400.

• Lima, Pedro M.; Morgado, M. Luísa (2006) Analysis of Singular Boundary Value Problems for an Emden-Fowler Equation Communications on Pure and Applied Analysis: 5(2), 321-336.

• Galdi, G. P.; Silvestre, Ana Leonor (2006) Existence of time-periodic solutions to the Navier-Stokes equations around a moving body Pacific J. Math.: 223, 2251-267.

• Diogo, Teresa; Lima, Pedro M.; Ford, Neville J.; Valtchev, Svilen S.  (2006) Numerical Methods for a Volterra Integral Equation with Non-smooth Solutions Journal of Computational and Applied Mathematics: 189(1-2), 412–423.

• Diogo, Teresa; Lima, Pedro M.; Rebelo, M (2006) Numerical Solution of a Nonlinear Abel Type Volterra Integral Equation Communications on Pure and Applied Analysis: 5(2), 277-288.

• Alves, Carlos J. S.; Valtchev, Svilen S.  (2005) Numerical Comparison of Two Meshfree Methods for Acoustic Wave Scattering Engineering Analysis with Boundary Elements: 29(4), 371-382.

• Galdi, G.P.; Silvestre, Ana Leonor (2005) Strong solutions to the Navier-Stokes equations around a rotating obstacle Arch. Rational Mech. Anal.: 176(3), 331-350.

• Alves, Carlos J. S.; Silvestre, Ana Leonor (2004) Density Results Using Stokeslets and a Method of Fundamental Solutions for the Stokes Equations Engineering Analysis with Boundary Elements: 28(10), 1245-1252.

• Diogo, Teresa; Franco, NB; Lima, Pedro M. (2004) High order product integration methods for a Volterra integral equation with logarithmic singular kernel  Communications on Pure and Applied Analysis: 3, 217--235.

• Alves, Carlos J. S.; Silvestre, Ana Leonor (2004) On the Determination of Point-Forces on a Stokes System Mathematics and Computers in Simulation: 66(4-5), 385-397.

• Lima, Pedro M.; Diogo, Teresa (2002) Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods J. Computational and Applied Mathematics: 140, 537--557.

• S. McKee; T.Tang; Diogo, Teresa (2000)  An Euler-type method for two-dimensional Volterra integral equations of the first kind  IMA J. Num. Anal.: 3, 423-440.

• Diogo, Teresa; Franco, NB; Lima, Pedro M. (2000) Analysis of product integration methods for a class of singular Volterra integral equations Tendências da Matemática Aplicada e Computacional (TEMA ): 1(2), 373--387.

• Diogo, Teresa; McKee, S; Tang, T. (1994) Collocation methods for Volterra integral equations with weakly singular kernel  Proceedings of the Royal Society of Edinburgh: 124A, 199--210.

• T.Tang; S.McKee; Diogo, Teresa (1992)  Product integration methods for an integral equation with logarithmic singular kernel, Appl. Numer. Math. Applied Numerical Mathematics: 9, 259--266.

• Diogo, Teresa; McKee, S; Tang, T. (1991) A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel, IMA J. Numer. Anal.  IMA J. Numerical Analysis: 11, 595-605.

Books

• Teodoro, Filomena; Morgado, M. Luísa; Perdicoullis, Teresa (2010) Métodos Estatísticos em Ciências Biomédicas Série didáctica Ciências Aplicadas, 400,Universidade de Trás os Montes e Alto Douro (UTAD): ISBN 978-972-669-018-2.

• Teodoro, Filomena; Morgado, M. Luísa; Perdicoulis, Teresa (2010) Métodos Numéricos em Ciências Biomédicas Série didáctica Ciências Aplicadas, 394,Universidade de Trás os Montes e Alto Douro (UTAD): ISBN 978-972-669-017-5.