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- Grady B. Wright, Bengt Fornberg
- J. Comput. Physics
- 2006

In standard equispaced finite difference (FD) formulas, symmetries can make the order of accuracy relatively high compared to the number of nodes in the FD stencil. With scattered nodes, suchâ€¦ (More)

- Natasha Flyer, Erik Lehto, SÃ©bastien Blaise, Grady B. Wright, Amik St.-Cyr
- J. Comput. Physics
- 2012

The current paper establishes the computational efficiency and accuracy of the RBFFD method for large-scale geoscience modeling with comparisons to state-of-the-art methods as high-orderâ€¦ (More)

- Natasha Flyer, Grady B. Wright
- J. Comput. Physics
- 2007

The aim of this work is to introduce the physics community to the high performance of radial basis functions (RBFs) compared to other spectral methods for modeling transport (pure advection) and toâ€¦ (More)

- Bengt Fornberg, Elisabeth Larsson, Grady B. Wright
- Computers & Mathematics with Applications
- 2006

Radial basis functions (RBFs) form a primary tool for multivariate interpolation, and they are also receiving increased attention for solving PDEs on irregular domains. Traditionally, onlyâ€¦ (More)

Abstract. Radial basis functions (RBFs) are a powerful tool for interpolating/approximating multidimensional scattered data. Notwithstanding, RBFs pose computational challenges, such as the efficientâ€¦ (More)

The paper derives the first known numerical shallow water model on the sphere using radial basis function (RBF) spatial discretisation, a novel numerical methodology that does not require any grid orâ€¦ (More)

- Grady B. Wright, Mohsin Javed, Hadrien Montanelli, Lloyd N. Trefethen
- SIAM J. Scientific Computing
- 2015

Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution ofâ€¦ (More)

- Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
- Math. Comput.
- 2009

Recently, a new class of surface-divergence free radial basis function interpolants has been developed for surfaces in R3. In this paper, several approximation results for this class of interpolantsâ€¦ (More)

This paper presents a new tool for fitting a divergence-free vector field tangent to a two dimensional orientable surface P âˆˆ R to samples of such a field taken at scattered sites on P . This method,â€¦ (More)

- Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
- Numerische Mathematik
- 2014

Quadrature formulas for spheres, the rotation group, and other compact, homogeneous manifolds are important in a number of applications and have been the subject of recent research. The main purposeâ€¦ (More)