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M. Luísa Morgado

Institutional Address

Universidade de Trás-os-Montes e Alto Douro
Quinta de Prados
5001-801 VILA REAL

Phone: +351 259979837 | Email: luisam@utad.pt

Position

Associate Professor, University of Trás-os-Montes e Alto Douro

Area

Applied and Numerical Analysis

Principal Area

Numerical Analysis

Other Area

Fractional Calculus

Qualifications

Habilitation in Mathematics, Instituto Superior Técnico, University of Lisbon, 2020.
PhD in Applied Mathematics, University of Trás-os-Montes e Alto Douro, 2008
MSc in Applied Matehmatics, University of Porto, 2000.
BSc In Computational and Applied Mathematics, IST, 1994

Papers in International Journals

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.

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.

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; 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.

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.

Papers or Chapters in Edited Books

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.

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.

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.

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.

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.

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.

Communications in Conference Proceedings

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; 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; 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; 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.

Thesis

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

Edition of Books

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.

Pos-doc fellowship, 2009-2011, funded by Fundacão para a Ciência e Tecnologia (SFRH/BD/31513/2006)
Member of the organizing committee of the International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP) 2011, 2015.
Member of the editorial board of International Journal of Dynamical Systems and Differential Equations.
Responsible at UTAD for the PhD in Mathematics in collaboration with the University of Chester.
International Research Excellence Awards, Santander (2013).
Honorary Lecturer at University of Chester.