Stable computations with Gaussian radial basis functions B Fornberg, E Larsson, N Flyer SIAM Journal on Scientific Computing 33 (2), 869-892, 2011 | 434 | 2011 |

A primer on radial basis functions with applications to the geosciences B Fornberg, N Flyer Society for Industrial and Applied Mathematics, 2015 | 283 | 2015 |

Solving PDEs with radial basis functions B Fornberg, N Flyer Acta Numerica 24, 215-258, 2015 | 234 | 2015 |

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy N Flyer, B Fornberg, V Bayona, GA Barnett Journal of Computational Physics 321, 21-38, 2016 | 205 | 2016 |

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs V Bayona, N Flyer, B Fornberg, GA Barnett Journal of Computational Physics 332, 257-273, 2017 | 199 | 2017 |

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere N Flyer, E Lehto, S Blaise, GB Wright, A St-Cyr Journal of Computational Physics 231 (11), 4078-4095, 2012 | 187 | 2012 |

A radial basis function method for the shallow water equations on a sphere N Flyer, GB Wright Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009 | 142 | 2009 |

Transport schemes on a sphere using radial basis functions N Flyer, GB Wright Journal of Computational Physics 226 (1), 1059-1084, 2007 | 130 | 2007 |

Enhancing finite differences with radial basis functions: experiments on the Navier–Stokes equations N Flyer, GA Barnett, LJ Wicker Journal of Computational Physics 316, 39-62, 2016 | 123 | 2016 |

Magnetic field confinement in the corona: the role of magnetic helicity accumulation M Zhang, N Flyer, BC Low The Astrophysical Journal 644 (1), 575, 2006 | 123 | 2006 |

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids B Fornberg, N Flyer Advances in Computational Mathematics 23 (1-2), 5-20, 2005 | 111 | 2005 |

Fast generation of 2-D node distributions for mesh-free PDE discretizations B Fornberg, N Flyer Computers & Mathematics with Applications 69 (7), 531-544, 2015 | 108 | 2015 |

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs EF Bollig, N Flyer, G Erlebacher Journal of Computational Physics 231 (21), 7133-7151, 2012 | 95 | 2012 |

A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line N Flyer, AS Fokas Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2008 | 78 | 2008 |

Radial basis function-generated finite differences: A mesh-free method for computational geosciences N Flyer, GB Wright, B Fornberg Handbook of geomathematics, 1-30, 2014 | 73 | 2014 |

Radial basis functions: Developments and applications to planetary scale flows N Flyer, B Fornberg Computers & Fluids 46 (1), 23-32, 2011 | 71 | 2011 |

Magnetic field confinement in the solar corona. I. Force-free magnetic fields N Flyer, B Fornberg, S Thomas, BC Low The Astrophysical Journal 606 (2), 1210, 2004 | 62 | 2004 |

A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain B Fornberg, N Flyer Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 60 | 2011 |

Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods JP Boyd, N Flyer Computer methods in applied mechanics and engineering 175 (3-4), 281-309, 1999 | 58 | 1999 |

Rotational transport on a sphere: Local node refinement with radial basis functions N Flyer, E Lehto Journal of Computational Physics 229 (6), 1954-1969, 2010 | 57 | 2010 |