Ercília Sousa Department of Mathematics University of Coimbra 3001-454 Coimbra  ecs@mat.uc.pt tel. (239) 791 132 fax. (239) 793 069    Education BS in Pure Mathematics, University of Coimbra;  DPhil in Numerical Analysis, University of Oxford;  Research Interests Fractional advection diffusion equation;  Hyperbolic diffusion for transport problems; Convection diffusion equation; Stability analysis;  Simulation of the Navier-Stokes equations;  Research articles in journals E. Sousa, "How to approximate the fractional derivative of order 1 < α ≤ 2" to appear in International Journal of Bifurcation and Chaos (2012)   E. Sousa, " Numerical approximations for fractional diffusion equations via splines", Computers & Mathematics with Applications Vol. 62 (2011) pp. 938-944. Abstract and link to full text   E. Sousa, " Finite difference approximations for a fractional advection diffusion problem", Journal of Computational Physics Vol. 228 (2009) pp. 4038-4054. Abstract and link to full text   E. Sousa, " Insights on a sign-preserving numerical method for the advection-diffusion equation", International Journal for Numerical Methods in Fluids Vol. 61 (2009) pp. 864-887. Abstract and link to full text   E. Sousa, " On the edge of stability analysis", Applied Numerical Mathematics Vol. 59 (2009) pp. 1322 -1336. Abstract and link to full text   A. Araujo, E. Sousa, A. Albuquerque " Longitudinal dispersion in a horizontal subsurface flow constructed wetland: a numerical solution", ANZIAM J. Vol. 50, (2008) pp C339-C353. Abstract and link to full text   E. Sousa, "Higher order schemes and numerical boundary conditions", Comput. Methods Appl. Mech. Engrg. Vol. 196 (2007) pp. 4444-4457 Abstract and link to full text   E. Sousa, "Development of finite difference schemes near an inflow boundary", International Journal for Numerical Methods in Engineering Vol. 68 (2) (2006) pp. 210-230. Abstract and link to full text   E. Sousa, " Stability analysis of difference methods for parabolic initial value problems" Journal of Scientific Computing Vol. 26 (1) (2006) pp. 45-66. Abstract and link to full text   E. Sousa, I.J. Sobey, "Effect of boundary vorticity discretisation on explicit stream-function vorticity calculations." International Journal for Numerical Methods in Fluids Vol. 49 (4) (2005) pp. 371-393. Abstract and link to full text   E. Sousa, "The controversial stability analysis", Applied Mathematics and Computation Vol. 145 (2003) pp. 777-794. Abstract and link to full text   E. Sousa, I.J. Sobey, "Numerical stability of unsteady stream-function vorticity calculations" Communications in Numerical Methods in Engineering Vol. 19 (6) (2003) pp. 407-419 Abstract and link to full text   E. Sousa, I.J. Sobey, "On the influence of numerical boundary conditions" Applied Numerical Mathematics,Vol. 41 (2) (2002) pp. 325-344. Abstract and link to full text   E. Sousa, "A Godunov-Ryabenkii instability for a Quickest scheme" Lecture Notes in Computer Science, 1988 (2001) pp. 732-740. Abstract and link to full text   Research articles in book chapters and proceedings C. Neves, A. Araujo, E. Sousa "Numerical approximation of a transport equation with a time-dependent dispersion flux", Numerical Analysis and Applied Mathematics, AIP Conference Proceedings 1048, (2008) pp 403-406. Full text (PDF)   A. Albuquerque, A. Araujo, E. Sousa, "Application of the advection-dispersion equation to characterize the hydrodynamic regime in a submerged packed bed reactor." Advances in Computational & Experimental Engineering & Science, Tech Science Press, (2004) pp. 548-553. Full text (PDF)   E. Sousa, I.J. Sobey, "A family of finite difference schemes for the convection-diffusion equation in two dimensions" Numerical Mathematics and Advanced Applications, Springer, (2003) pp. 179-188. Full text (PDF)