Magda Rebelo
Assistant Professor, Department of Mathematics
msjr@fct.unl.pt
(email)
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M
Martins, N., and M. Rebelo.
"
Meshfree methods for nonhomogeneous Brinkman flows
."
Computers and Mathematics with Applications
68 (2014): 872-886.
Website
Martins, N., and M. Rebelo.
"
A meshfree method for elasticity problems with interfaces
."
Applied Mathematics and Computation
219 (2013): 10732-10745 .
Morgado, M. L., N. J. Ford, and M. Rebelo.
A non-polynomial collocation method for fractional terminal value problems
In
AIP Conference Proceedings- ICNAAM 2012, Vol. 1479,
. Kos, Greece, 2012.
Morgado, L., and M. Rebelo.
"
Well-posedness and numerical approximation of tempered fractional terminal value problems
."
Fractional Calculus and Applied Analysis
20 (2017): 1239-1262.
Morgado, M. L., and M. Rebelo.
"
Introducing graded meshes in the numerical approximation of distributed-order diffusion equations
." In
NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA–2016)
., 2016.
Morgado, M. L., M. Rebelo, L. L. Ferrás, and N. Ford.
"
Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
."
Applied Numerical Mathematics
114 (2016): 108-123.
Morgado, M. L., and M. Rebelo.
"
Chebyshev Spectral Approximation for Diffusion Equations with Distributed Order in Tim
." In
International Conference on Differential & Difference Equations and Applications
., 2016.
Morgado, M. L., and M. Rebelo.
"
Black-Scholes Equation with Distributed Order in Time
." In
Progress in Industrial Mathematics at ECMI 2018
., 2019.
Morgado, M. L., L. Ferrás, and M. Rebelo.
"
Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient
." In
15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015)
., 2015.
Morgado, M. L., and M. Rebelo.
"
Numerical approximation of distributed order reaction–diffusion equations
."
Journal of Computational and Applied Mathematics
275 (2015): 216-227.
Morgado, M. L., and M. Rebelo.
"
Collocation Solution of Fractional Differential Equations in Piecewise Nonpolynomial Spaces
." In
Differential and Difference Equations with Applications
., 2020.
Morgado, Lu{\'ısa M., Magda Rebelo, and Lu{\'ıs L. Ferrás.
"
Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
."
Mathematics
9 (2021): 1975.
Abstract
n/a
Morgado, M. L., M. Rebelo, and L. L. Ferrás.
"
Finite Difference Schemes with Non-uniform Time Meshes for Distributed-Order Diffusion Equations
." In
Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)
, 239-244. Springer, 2022.
Abstract
n/a
N
N.J.Ford, M. L. Morgado, and M. Rebelo.
Nonpolynomial approximation of solutions to delay fractional differential equations
In
Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2013
. Almería , Spain.: ISBN:978-84-616-2723-3, 2013.
R
Rebelo, M., T. Diogo, and S. McKee.
"
Modelling a Competitive Antibody/Antigen Chemical Reaction that Occurs in the Fluorescence Capillary-Fill Device
." In
Progress in Industrial Mathematics at ECMI 2012
., 2014.
Rebelo, M., T. Diogo, and S. McKee.
"
A Mathematical Treatment of the Fluorescence Capillary-Fill Device
."
SIAM, J. Applied Mathematics
72 (2012): 1081-1112.
Rebelo, M., and T. Diogo.
"
A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel
."
Journal of Computational and Applied Mathematics
234 (2010): 2859-2869.
Ribau, A. M., L. Ferrás, M. L. Morgado, M. Rebelo, and A. Afonso.
"
Analytical and numerical studies for slip flows of a generalised Phan-Thien-Tanner fluid
."
ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik
100 (2020).
Ribau, A. M., L. L. Ferrás, M. L. Morgado, M. Rebelo, M. A. Alves, F. T. Pinho, and A. M. Afonso.
"
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid
."
Journal of Engineering Mathematics
127 (2021).
Ribau, A. M., L. Ferrás, M. L. Morgado, M. Rebelo, and A. Afonso.
"
Semi-Analytical Solutions for the Poiseuille-Couette Flow of a Generalised Phan-Thien-Tanner Fluid
."
Fluids
2 (2019).
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Recent Publications
Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
A generalised distributed-order Maxwell model
Finite Difference Schemes with Non-uniform Time Meshes for Distributed-Order Diffusion Equations
A spectral approach to non-linear weakly singular fractional integro-differential equations
A distributed order viscoelastic model for small deformations
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid
more