A semi-analytical numerical method for solving evolution and elliptic partial differential equations | Journal of Computational and Applied Mathematics (Journal/magazine/periodical) | 2009-05-01 |

A hybrid analytical-numerical method for solving evolution partial differential equations. 1. The half-line | Proceedings of the Royal Society. Series A, Mathematical Physical & Engineering Sciences (Journal/magazine/periodical) | 2008-04-01 |

A radial basis function method for the shallow water equations on a sphere | Proceedings of the Royal Society. Series A, Mathematical Physical & Engineering Sciences (Journal/magazine/periodical) | 2009-06-08 |

A hybrid radial basis function - pseudospectral method for thermal convection in a 3-D spherical shell | Geochemistry, Geophysics, and Geosystems (Journal/magazine/periodical) | 2010-07-08 |

Radial basis functions: Developments and applications to planetary scale flows | Computers & Fluids (Journal/magazine/periodical) | 2010-08-10 |

Stable computations with Gaussian radial basis functions | Siam Journal on Scientific Computing (Journal/magazine/periodical) | 2011-04-07 |

The Gibbs Phenomenon for radial basis functions | Book chapter | 2011-02-04 |

A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain | Proceedings of the Royal Society. Series A, Mathematical Physical & Engineering Sciences (Proceedings) | 2011-10-01 |

Moving vortices on a sphere: Local node refinement for radial basis functions | Presentation/webcast | 2008-07-10 |

Transport schemes on a sphere using radial basis functions | Journal of Computational Physics (Journal/magazine/periodical) | 2007-09-10 |

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere | Journal of Computational Physics (Journal/magazine/periodical) | 2012-06-01 |

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs | Journal of Computational Physics (Journal/magazine/periodical) | 2012-08-30 |

A penalty method for numerically handling dispersive equations with incompatible initial and boundary data | Numerical Methods for Partial Differential Equations (Journal/magazine/periodical) | 2012-11-01 |

Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices | Computers & Mathematics With Applications (Journal/magazine/periodical) | 2006-04-01 |

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids | Advances in Computational Mathematics (Journal/magazine/periodical) | 2005-07-01 |

Comparisons between pseudospectral and radial basis function derivative approximations | IMA Journal of Numerical Analysis (Journal/magazine/periodical) | 2010-01 |

Rotational transport on a sphere: Local node refinement for radial basis functions | Journal of Computational Physics (Journal/magazine/periodical) | 2010-03-20 |

Locality properties of radial basis function expansion coefficients for equispaced interpolation | IMA Journal of Numerical Analysis (Journal/magazine/periodical) | 2008 |

On the sensitivity of 3-D thermal convection codes to numerical discretization: A model intercomparison | Geoscientific Model Development (Journal/magazine/periodical) | 2014-09-15 |

Acceleration of derivative calculations with application to radial basis function: Finite-differences on the intel mic architecture | ICS '14 Proceedings of the 28th ACM International Conference on Supercomputing (Proceedings) | 2014-09-01 |

Radial basis function-generated finite differences: A mesh-free method for computational geosciences | Handbook of Geomathematics (Book/monograph) | 2015-01-01 |

Fast generation of 2-D node distributions for mesh-free PDE discretizations | Computers & Mathematics With Applications (Journal/magazine/periodical) | 2015-04-01 |

Magnetic relaxation in the solar corona | The Astrophysical Journal (Journal/magazine/periodical) | 2009-01-01 |

The topological nature of boundary value problems for force-free magnetic fields | The Astrophysical Journal (Journal/magazine/periodical) | 2007-10-10 |

Magnetic helicity of self-similar axisymmetric force-free fields | The Astrophysical Journal (Journal/magazine/periodical) | 2012-08-10 |

The convergence of spectral and finite difference methods for initial-boundary value problems | Siam Journal on Scientific Computing (Journal/magazine/periodical) | 2002-05-01 |

The dependence of the helicity bound of force-free magnetic fields on boundary conditions | The Astrophysical Journal (Journal/magazine/periodical) | 2008-08-20 |

A task parallel implementation of a scattered node stencil-based solver for the shallow water equations | Proceedings of the 6th Swedish Workshop on Multicore Computing (Proceedings) | 2013-12-01 |

Interpolating fields of carbon monoxide data using a hybrid statistical-physical model | Annals of Applied Statistics (Journal/magazine/periodical) | 2008-12-01 |

Magnetic field confinement in the corona: The role of magnetic helicity accumulation | The Astrophysical Journal (Journal/magazine/periodical) | 2006-06-10 |

Magnetic field confinement in the solar corona. II. Field-plasma interaction | The Astrophysical Journal (Journal/magazine/periodical) | 2005-10 |