Artigos em Revistas Internacionais

• 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.

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

• 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.

• 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.

• 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.

• 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.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; A. M. Afonso (2020)  Analytical and numerical studies for slip flows of a generalised Phan-Thien-Tanner fluid . Z Angew Math Mech., e201900183.

• Morgado, M. Luísa; Luís F. Morgado (2020)  Modeling transient currents in time-of- flight experiments with tempered time-fractional diffusion equations . Progr. Fract. Differ. Appl.: 6 (1), 43-53.

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; Gareth Mckinley; A. M. Afonso (2019)  A generalised Phan-Thien-Tanner model . Journal of Non-Newtonian Fluid Mechanics: 269, 88-99.

• Almeida, Ricardo; Morgado, M. Luísa (2019)  Analysis and numerical approximation of tempered fractional calculus of variations problems . Journal of Computational and Applied Mathematics: 361, 1-12.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; A. M. Afonso (2019)  Semi-analytical solutions for the Poiseuille-Couette flow of a generalised Phan-Thien-Tanner fluid . Fluids: 4 (3) 129, 1-11.

• Almeida, Ricardo; Morgado, M. Luísa (2018)  The Euler-Lagrange and Legendre equations for functionals involving distributed-order fractional derivatives . Applied Mathematics and Computation: 331, 394-403.

• Moghaddam, B. P. ; Tenreiro Machado, J. ; Morgado, M. Luísa (2018)  Numerical approach for a class of distributed order time fractional partial differential equations . Applied Numerical Mathematics: 136, 152-162.

• Ferrás, L. L.; Ford, Neville J. ; Morgado, M. Luísa; Rebelo, Magda; McKinley, Gareth H. ; Nóbrega,João M.  (2018)  Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries . Computers & Fluids: 174, 14-33.

• 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.

• 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.

• 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.

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

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

• 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.

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

• 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.

• 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.

• 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.

• 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.

• 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.

• 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; 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.

• 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.

• 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.

• 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.

• 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.

• 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.

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

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

• 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.

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

• 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.

• 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.

• 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.

Livros

• 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.

Artigos ou Capítulos em Livros Editados

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo (2021)  A Numerical Method for the Transient Couette Flow of a Distributed-Order Viscoelastic Fluid . Computational Science and Its Applications - ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science, Springer, Cham: vol 12952.

• Morgado, M. Luísa; Lima, Pedro M.; M. V. Mendes (2020)  Numerical Solution of the Time Fractional Cable Equation . Dierential and Dierence Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, Springer, Cham.: vol 333.

• Morgado, M. Luísa; Magda rebelo (2020)  Collocation Solution of Fractional Differential Equations in Piecewise Nonpolynomial Spaces . Dierential and Dierence Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, Springer, Cham.: vol 333.

• Morgado, M. Luísa; Magda rebelo (2019)  Black-Scholes equation with distributed order in time . Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry, Springer, Cham.: vol 30, 313-319.

• Gonçalves, A.; Morgado, M. Luísa; Morgado, L. F.; Silva, N.; Morais, R. (2019)  Numerical simulation of inertial energy harvesters using magnets . Innovation, Engineering and Entrepreneurship, HELIX 2018. Lecture Notes in Electrical Engineering.

• Morgado, M. Luísa; L. F. Morgado (2019)  Modelling time-of-flight transient currents with time-fractional diffusion equations . Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry, Springer, Cham.: vol 30, 127-133.

• L. L. Ferrás; Morgado, M. Luísa; Magda Rebelo; R. T. Leiva ; António Castelo; G. H. McKinley; A. M. Afonso (2019)  Recent advances in complex fuids modeling . Fluid Flow Problems, ed. Farhad Ali. ISBN: 978-1-78984-878, IntechOpen., 7 - 23.

• Ferrás, L.; Ford, N. J.; Morgado, M. Luísa; Rebelo, Magda (2019)  A Hybrid numerical scheme for fractional-order systems . Innovation, Engineering and Entrepreneurship, HELIX 2018. Lecture Notes in Electrical Engineering.

• Diogo, Teresa; Ford, N.; Jackiewicz, Z.; Lima, Pedro M.; Morgado, M. Luísa; Rebelo, Magda (2016)  The Fifth International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP 2015) . Applied Numerical Mathematics, October 22–24, 2015, Lagos, Algarve, Portugal: 114.

• Morgado, M. Luísa; Rebelo, Magda (2016)  Chebyshev Spectral Approximation for Diffusion Equations with Distributed Order in Time . Differential and Difference Equations with Applications, Volume 164, Series Springer Proceedings in Mathematics & Statistics, Springer: 164, 255-263.

• Ferrás, L. L.; Ford, N. J.; Morgado, M. Luísa; Rebelo, Magda (2014)  A Numerical Method for the Solution of the Time-Fractional Diffusion Equation . Lecture Notes in Computer Science: 8579, 117-131.

• Ford, N. J.; Morgado, M. Luísa (2013)  Stability, structural stability and numerical methods for fractional boundary value problems . Advances in Harmonic Analysis and Operator Theory, Operator Theory: Advances and Applications, Springer, Basel: 229, 157-173.

• Ford, N. J. ; Morgado, M. Luísa (2013)  Numerical methods for multi-term fractional boundary value problems . Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, Springer, New York: 47, 535-542.

Comunicações em Actas de Conferência

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo (2021)  A Distributed Order Viscoelastic Model for Small Deformations . Proccedings 5th International Conference on Numerical and Symbolic Computation: Developments and Applications..

• Ferrás, L.; Ford, N.; Morgado, M. Luísa; Rebelo, Magda; Mckinley, G.; Nóbrega, J. M. (2017)  How non-integer order derivatives can be useful to rheology . Proceedings of 3rd International Conference on Numerical and Symbolic Computation: Developments and Applications.

• Ferrás, L.; Ford, N.; Morgado, M. Luísa; Rebelo, Magda; Mckinley, G.; Nóbrega, J. M. (2017)  A primer on experimental and computational rheology with fractional viscoelastic constitutive models . AIP Conference Proceedings: 1843, 1.

• Morgado, M. Luísa; Rebelo, Magda (2016)  Introducing graded meshes in the numerical approximation . AIP Conference Proceedings: 1776(1).

• Morgado, M. Luísa; L. L. Ferrás; Rebelo, Magda (2015)  Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient . Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering: IV, 503-507.

• L. L. Ferrás; N. J. Ford; Morgado, M. Luísa; J. M. Nóbrega; Rebelo, Magda (2015)  Fractional bioheat equation . Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering: IV, 850-858.

• Ford, N.J.; Morgado, M. Luísa; Rebelo, Magda (2014)  A numerical method for the distributed order time-fractional diffusion equation . Proceedings of the IEEE International Conference on Fractional Differentiation and Its Applications'14, 1-6.

• Rebelo, Magda; Morgado, M. Luísa (2014)  Numerical solution of the reaction-wave-diffusion equation with distributed order in time . Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014): Vol IV, 1057-1068.

• Martins, Nuno F. M.; Morgado, M. Luísa; Rebelo, Magda (2014)  A meshfree numerical method for the time-fractional diffusion equation . Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014): Vol III, 892-903.

• Ferrás, L. L.; Ford, N. J.; Morgado, M. Luísa; Rebelo, Magda; Nóbrega, J. M. (2014)  Fractional modelling of Pennes' bioheat equation using distributed order differential equations . Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014): Vol. II, 507-518.

• Morgado, M. Luísa (2014)  On the numerical solution of the reaction-wave-diffusion equation with distributed order in time . Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2014, Cadiz, Spain: IV, 1057--1068.

• N. J. Ford; Morgado, M. Luísa; Rebelo, Magda (2013)  Nonpolynomial approximation of solutions to delay fractional differential equations . Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2013): Vol. II, 666-675.

• L. F. Morgado; Morgado, M. Luísa; N. Silva and R. Morais (2013)  A mathematical model for electromagnetic energy harvesters . Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2013): Vol. IV, 1089-1096.

• Morgado, M. Luísa; Rebelo, Magda; N. J. Ford (2012)  A non-polynomial collocation method for fractional terminal value problems . Proceedings of International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2012), 19–25 September 2012, Kos, Greece: 1479, 254-257.

• Morgado, M. Luísa; Morgado, L. F.; Henriques, E.; Silva, N.; Santos. P.; Santos, M. P.; Ferreira, J. A.; Reis, M.; Morais, R. (2012)  Mathematical modeling of cylindrical electromagnetic vibration energy harvesters . Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2012): Vol. III, 900-908.

• Morgado, M. Luísa; Morgado, L. F., ; Henriques, E.; Silva, N.; Santos. P.; Santos, M. P.; Ferreira, J. A.; Reis, M.; Morais, R. (2012)  Nonlinear modeling of vibrational energy harvesters for smart prostheses . Procedia Engineering; 26th European Conference on Solid-State Transducers (EUROSENSOR 2012): 47, 1089-1092.

• Morgado, M. Luísa; Ford, N. J. (2012)  Analysis of Nonlinear Functional Fractional Differential Equations . Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2012): Vol. III, 892-899.

• Morgado, M. Luísa; Ford, N. J.; Lima, Pedro M. (2011)  Analysis of linear delay fractional differential initial value problems . Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2011): Vol. III, 878-885.

• Morgado, M. Luísa; Lima, Pedro M. (2010)  Finite difference schemes for singular free boundary problems . Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010: Vol. II, 667-676.

• Ford, N. J.; Morgado, M. Luísa (2010)  Structural Stability for Fractional Differential Equations as Boundary Value Problems . Proceedings of International Conference of Numerical Analysis and Applied Mathematics, AIP Conference Proceeding: 1281(1), 1191-1194.

• Lima, Pedro M.; Morgado, M. Luísa (2009)  Numerical methods for singular boundary value problems involving the p-Laplacian . Proceedings of International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine, AIP Conference Proceedings: 1124(1), 214-223.

• Morgado, M. Luísa; Lima, Pedro M. (2009)  Numerical methods for a singular boundary value problem with application to a heat conduction model in the human head . Proceedings of the 9th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2009): Vol. III, 755-764.

• Lima, Pedro M.; Morgado, M. Luísa (2007)  Analysis and numerical approximation of a singular boundary value problem for the one-dimensional p-laplacian . Proceedings of the 4th WSEAS International Conference on Fluid Mechanics, 42-47.

• Konyukhova, N. B.; Lima, Pedro M.; Morgado, M. Luísa; Soloviev, M. B.  (2007)  Singular Nonlinear Boundary Value Problem for the Bubble-type or Droplet-type Solutions in Nonlinear Physics Models . Spectral and Evolution problems, Proceedings of the XVIII Crimean Autumn Mathematical School-Symposium: Vol. 18, 160-170.

• Lima, Pedro M.; Morgado, M. Luísa (2005)  Numerical approximation of singular boundary value problems for a nonlinear differential equation . Proceedings of the 11th International Conference on Differential Equations and Their Applications (Equadiff11), 201-211.

Teses

• Morgado, M. Luísa (2008)  Analysis and Numerical Approximation of Singular Boundary Value Problems . PhD Thesis, UTAD.

Edição de Livros

• Diogo, Teresa; Neville Ford; Zdzislaw Jackiewicz; Lima, Pedro M.; Morgado, M. Luísa; Rebelo, Magda (2017)  Special issue:Selected papers presented at IWANASP15, October 22-24, 2015, Lagos, Algarve, Portugal . Applied Numerical Mathematics: 114, 1-222.

• Bolseira de pos-doc,2009-2011, Fundacão para a Ciência e Tecnologia (SFRH/BD/31513/2006)
• Membro da organização do International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP) 2011, 2015.
• Membro do corpo editorial do International Journal of Dynamical Systems and Differential Equations.
• Responsável na UTAD pelo doutoramento em Matemática em parceria com a universidade de Chester.
• International Research Excellence Awards, Santander (2013).