Publications

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2016
Allaei, S. S., T. Diogo, and M. Rebelo. "Analytical and computational methods for a class of nonlinear singular integral equations." Applied Numerical Mathematics 114 (2016): 2-17.
Allaei, S. S., T. Diogo, and M. Rebelo. "The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel." Journal of Scientific Computing 69 (2016): 673-695.
2014
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.
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 (2013): 84-101.
2012
Diogo, T., and M. Rebelo. Numerical Methods for Nonlinear Singular Volterra Integral Equations In AIP Conference Proceedings- ICNAAM 2012, Vol. 1479,. Kos, Greece, 2012.
Rebelo, M., T. Diogo, and S. McKee. "A Mathematical Treatment of the Fluorescence Capillary-Fill Device." SIAM, J. Applied Mathematics 72 (2012): 1081-1112.
2010
Diogo, T., P. Lima, and M. Rebelo. Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation, In 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.
2006
Diogo, T., P. Lima, and M. Rebelo. Comparative analysis of numerical methods for a nonlinear Volterra integral equation In 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.