Global existence for a coupled system of Schrödinger equations with power-type nonlinearities NV Nguyen, R Tian, B Deconinck, N Sheils Journal of Mathematical Physics 54 (1), 011503, 2013 | 38 | 2013 |

Non-steady-state heat conduction in composite walls B Deconinck, B Pelloni, NE Sheils Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014 | 29 | 2014 |

Interface problems for dispersive equations NE Sheils and, B Deconinck Studies in Applied Mathematics 134 (3), 253-275, 2015 | 15 | 2015 |

Heat equation on a network using the Fokas method NE Sheils, DA Smith Journal of Physics A: Mathematical and Theoretical 48 (33), 335001, 2015 | 14 | 2015 |

The linear KdV equation with an interface B Deconinck, NE Sheils, DA Smith Communications in Mathematical Physics 347 (2), 489-509, 2016 | 13 | 2016 |

Heat conduction on the ring: Interface problems with periodic boundary conditions NE Sheils, B Deconinck Applied Mathematics Letters 37, 107-111, 2014 | 13 | 2014 |

Multilayer diffusion in a composite medium with imperfect contact NE Sheils Applied Mathematical Modelling 46, 450-464, 2017 | 6 | 2017 |

Initial‐to‐Interface Maps for the Heat Equation on Composite Domains NE Sheils, B Deconinck Studies in Applied Mathematics 137 (1), 140-154, 2016 | 6 | 2016 |

The time-dependent Schrödinger equation with piecewise constant potentials NE Sheils, B Deconinck European Journal of Applied Mathematics, 1-27, 2017 | 5 | 2017 |

Interface Problems using the Fokas Method NE Sheils | 4 | 2015 |

Entrainment ranges of forced phase oscillators JP Previte, N Sheils, KA Hoffman, T Kiemel, ED Tytell Journal of mathematical biology 62 (4), 589-603, 2011 | 4 | 2011 |

On the spectral stability of solitary wave solutions of the vector nonlinear Schrödinger equation B Deconinck, NE Sheils, NV Nguyen, R Tian Journal of Physics A: Mathematical and Theoretical 46 (41), 415202, 2013 | 3 | 2013 |

Dispersive Lamb Systems P Olver, N Sheils arXiv preprint arXiv:1710.05814, 2017 | 2 | 2017 |

Revivals and Fractalisation in the Linear Free Space Schr\" odinger Equation PJ Olver, NE Sheils, DA Smith arXiv preprint arXiv:1812.08637, 2018 | | 2018 |