Papers in International Journals

• Rosalía, T.; Ferrás, L. L.; Castelo, A.; Morgado, M. Luísa; Rebelo, Magda; et al (2024)  A generalisation of the integral Maxwell model: the gK-BKZ model-frame invariance and analytical solutions . Meccanica: 59, 363–384.

• Ferrás,L.L.; Morgado, M. Luísa; Rebelo, Magda (2023)  A generalised distributed-order Maxwell model . Math Meth Appl Sci., 1-20.

• Ferrás,L.L.; Rebelo, Magda; Morgado, M. Luísa (2023)  The role of the weight function in the Generalised Distributed-Order Maxwell Model: the case of a distributed-springpot and a dashpot . Applied Mathematical Modelling, 844-860.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

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

• Martins, Nuno F. M.; Rebelo, Magda (2014)  Meshfree methods for nonhomogeneous Brinkman flows . Computers & Mathematics with Applications: 68(8), 872-886.

• 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.

• 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.

• Martins, Nuno F. M.; Rebelo, Magda (2013)  A Meshfree Method for Elasticity Problems with Interfaces . Applied Mathematics and Computation: 219(22), 10732-10745.

• 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.

• 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.

• 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.

Papers or Chapters in Edited Books

• Morgado, M. Luísa; Rebelo, Magda; Ferrás, L. (2022)  Finite Difference Schemes with Non-uniform Time Meshes for Distributed-Order Diffusion Equations . Lecture Notes in Networks and Systems: 452, 239--244.

• 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.

• Rebelo, Magda; Diogo, Teresa; McKee, Sean  (2014)  Modelling a Competitive Antibody/Antigen Chemical Reaction that Occurs in the Fluorescence Capillary-Fill Device . Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry, Springer-Verlag: 19, 229-236.

• 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.

• Diogo, Teresa; Lima, Pedro M.; Rebelo, Magda (2010)  Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation . Proceedings of International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), 19–25 September 2010, Rhodes, Greece: 1281, 1175-1178.

Communications in Conference Proceedings

• Morgado, M. Luísa; Rebelo, Magda; Ferrás, L. (2022)  New Insights into the Generalised Distributed-Order Maxwell Model . Proceedings of International Conference on Mathematical Analysis and Applications in Science and Engineering ICMA2SC'22.

• 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.

• 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.

• 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.

• 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.

• 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.

• Martins, Nuno F. M.; Rebelo, Magda (2013)  A Stokeslets Approach for the Numerical Solution of Brinkman Systems . Proceedings of International Conference Numerical Analysis and Applied Mathematics, AIP Conference Proceedings (ICNAAM 2013), American Institute of Physics, New York: 1558, 746-749.

• Diogo, Teresa; Rebelo, Magda (2012)  Numerical Methods for Nonlinear Singular Volterra Integral Equations . AIP Conference Proceedings of International Conference of Numerical Analysis and Applied Mathematics ( ICNAAM 2012), 19-25 September-Kos, Greece: 1479, 226-229.

• 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.

• Diogo, Teresa; Lima, Pedro M.; Rebelo, Magda (2005)  Computational methods for a nonlinear Volterra integral equation . Proceedings of the 7th Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2005), Athens, 22-24 September 2005, HERCMA Conference Series, LEA Publishers, ISBN: 960-87275-8-8, 100-107.

Thesis

• Rebelo, Magda (2010)  Analysis and Numerical Approximation of Volterra Integral Equations with Weakly Singular Kernels . PhD Thesis, Instituto Superior Tecnico, University of Lisbon.

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.