Publications

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2006
Diogo, T., P. Lima, and M. Rebelo Comparative analysis of numerical methods for a nonlinear Volterra integral equation. Proceedings of Hercma. Athens, Greece, 2006.
Diogo, T., P. Lima, and M. Rebelo. "Numerical solution of a nonlinear Abel type Volterra integral equation." Communications on Pure and Applied Analysis. 5 (2006): 277-288.
2010
Diogo, T., P. Lima, and M. Rebelo Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation,. AIP Conference Proceedings- ICNAAM 2010, Vol. 1281,. Rhodes, Greece, 2010.
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.
2012
Rebelo, M., T. Diogo, and S. McKee. "A Mathematical Treatment of the Fluorescence Capillary-Fill Device." SIAM, J. Applied Mathematics. 72.4 (2012): 1081-1112.
Martins, N., and M. Rebelo The method of fundamental solutions for elasticity problems with interfaces. Proceedings of 7th International Conference of the Croatian Society of Mechanics. Zadar, Croatia, 2012.
Morgado, M. L., N. J. Ford, and M. Rebelo A non-polynomial collocation method for fractional terminal value problems. AIP Conference Proceedings- ICNAAM 2012, Vol. 1479,. Kos, Greece, 2012.
Diogo, T., and M. Rebelo Numerical Methods for Nonlinear Singular Volterra Integral Equations. AIP Conference Proceedings- ICNAAM 2012, Vol. 1479,. Kos, Greece, 2012.
2013
Diogo, T., J. Ma, and M. Rebelo. "Fully discretized collocation methods for a nonlinear singular Volterra integral equation." Journal of Computational and Applied Mathematics. 247.1 (2013): 84-101.
Martins, N., and M. Rebelo. "A meshfree method for elasticity problems with interfaces." Applied Mathematics and Computation. 219.22 (2013): 10732-10745 .
N.J.Ford, M. L. Morgado, and M. Rebelo Nonpolynomial approximation of solutions to delay fractional differential equations. 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.
Ford, Neville J., Luísa M. Morgado, and Magda Rebelo. "Nonpolynomial collocation approximation of solutions to fractional differential equation." Fractional Calculus and Applied Analysis. 16.4 (2013): 874-891.
2014
Ferrás, L., N. Ford, L. Morgado, and M. Rebelo. "A numerical method for the solution of the time-fractional diffusion equation." Computational Science and Its Applications – ICCSA 2014. Eds. B. M. Torre, S. Misra, A. M. A. C. Rocha, C. Torre, J. G. Rocha, M. I. Falcão, D. Taniar, B. Apduhan, and O.Gervasi. Switzerland: Springer International Publishing, 2014. 117-131.
Martins, N., and M. Rebelo. "Meshfree methods for nonhomogeneous Brinkman flows." Computers and Mathematics with Applications. 68 (2014): 872-886.Website