An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell. - Philip W. Livermore (J. Comput. Phys., 2007)

Spectral radial basis functions for full sphere computations. - Philip W. Livermore; Chris A. Jones; Steven J. Worland (J. Comput. Phys., 2007)

A new hypergeometric identity linking coefficients of a certain class of homogeneous polynomials motivated from magnetohydrodynamics. - Philip W. Livermore; Glenn R. Ierley (Adv. Appl. Math., 2009)

An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere. - Kuan Li; Philip W. Livermore; Andrew Jackson 006 (J. Comput. Phys., 2010)

Galerkin orthogonal polynomials. - Philip W. Livermore (J. Comput. Phys., 2010)

Quasi-Lp norm orthogonal Galerkin expansions in sums of Jacobi polynomials - Orthogonal expansions. - Philip W. Livermore; Glenn R. Ierley (Numer. Algorithms, 2010)

Torsional Axisymmetric Core Oscillations Visualiser (TACO-VIS): A Python module for animating torsiona l wave data for fluid planetary cores. - Sam Greenwood; Philip W. Livermore; Grace Cox (J. Open Source Softw., 2020)

Reconstructions of Jupiter's magnetic field using physics informed neural networks. - Philip W. Livermore; Leyuan Wu; Longwei Chen; Sjoerd A. L. de Ridder (CoRR, 2024)