A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative E Sousa, C Li Applied Numerical Mathematics 90, 22-37, 2015 | 199 | 2015 |

Finite difference approximations for a fractional advection diffusion problem E Sousa Journal of Computational Physics 228 (11), 4038-4054, 2009 | 173 | 2009 |

How to approximate the fractional derivative of order 1< α≤ 2 E Sousa International journal of bifurcation and chaos 22 (04), 1250075, 2012 | 130 | 2012 |

A second order explicit finite difference method for the fractional advection diffusion equation E Sousa Computers & Mathematics with Applications 64 (10), 3141-3152, 2012 | 109 | 2012 |

Numerical approximations for fractional diffusion equations via splines E Sousa Computers & Mathematics with Applications 62 (3), 938-944, 2011 | 109 | 2011 |

The controversial stability analysis E Sousa Applied Mathematics and Computation 145 (2-3), 777-794, 2003 | 58 | 2003 |

An explicit high order method for fractional advection diffusion equations E Sousa Journal of Computational Physics 278, 257-274, 2014 | 41 | 2014 |

Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion L Pinto, E Sousa Communications in Nonlinear Science and Numerical Simulation 50, 211-228, 2017 | 39 | 2017 |

On the edge of stability analysis E Sousa Applied Numerical Mathematics 59 (6), 1322-1336, 2009 | 22 | 2009 |

On the influence of numerical boundary conditions E Sousa, I Sobey Applied Numerical Mathematics 41 (2), 325-344, 2002 | 22 | 2002 |

Finite differences for the convection-diffusion equation: On stability and boundary conditions E Sousa University of Oxford, 2001 | 20 | 2001 |

An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection A Araújo, C Neves, E Sousa Applied Mathematics and Computation 239, 17-28, 2014 | 18 | 2014 |

Longitudinal dispersion in a horizontal subsurface flow constructed wetland: a numerical solution A Araújo, E Sousa, A Albuquerque Anziam Journal 50, C339-C353, 2008 | 17 | 2008 |

Optical flow with fractional order regularization: variational model and solution method SG Bardeji, IN Figueiredo, E Sousa Applied Numerical Mathematics 114, 188-200, 2017 | 16 | 2017 |

Automatic extraction of tide-coordinated shoreline using open source software and landsat imagery G Gonçalves, N Duro, E Sousa, I Figueiredo The International Archives of the Photogrammetry, Remote Sensing and Spatial …, 2015 | 15 | 2015 |

High-order methods and numerical boundary conditions E Sousa Computer methods in applied mechanics and engineering 196 (45-48), 4444-4457, 2007 | 14 | 2007 |

Effect of boundary vorticity discretization on explicit stream‐function vorticity calculations E Sousa, IJ Sobey International journal for numerical methods in fluids 49 (4), 371-393, 2005 | 13 | 2005 |

A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative,(2011) E Sousa, C Li arXiv preprint arXiv:1109.2345, 0 | 11 | |

Numerical solution of a model for turbulent diffusion E Sousa International Journal of Bifurcation and Chaos 23 (10), 1350166, 2013 | 10 | 2013 |

Numerical solution for a non-Fickian diffusion in a periodic potential A Araujo, AK Das, C Neves, E Sousa Communications in Computational Physics 13 (2), 502-525, 2013 | 10 | 2013 |