Membros > Membros Docentes

M. Luísa Morgado

Morada Institucional

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


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

Posição

Professora Auxiliar, Universidade de Trás-os-Montes e Alto Douro

Área

Análise Numérica e Aplicações

Área Principal

Análise Numérica

Outra Área

Cálculo Fraccionário

Qualificações

  • Doutoramento em Matemática Aplicada, Universidade de Trás-os-Montes e Alto Douro, 2008.
  • Mestrado em Matemática Aplicada, Faculdade de Ciências, Universidade do Porto, 2000.
  • Licenciatura em Matemática Aplicada e Computação, IST, 1994

Publicações

Artigos em Revistas Internacionais

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.
Morgado, M. Luísa (2016) Chebyshev spectral approximation of distributed order differential Equations. International Journal of Dynamical Systems and Differential Equations: 6(2), 117–128.
Catarino, P. ; Morgado, M. Luísa (2016) On Generalized Jacobsthal and Jacobsthal-Lucas polynomials. Analele Stiintifice ale Universitatii Ovidius Constanta: 24(3), 61-78.
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.
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.
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.
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.
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; 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.
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.
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 (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; 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.
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.

Artigos ou Capítulos em Livros Editados

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.

Comunicações em Actas de Conferência

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.
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.
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.
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.

Outro Informação

  • 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.
  • 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).