A new class of oscillatory radial basis functions. - Bengt Fornberg; Elisabeth Larsson; Grady B. Wright (Comput. Math. Appl., 2006)

Scattered node compact finite difference-type formulas generated from radial basis functions. - Grady B. Wright; Bengt Fornberg (J. Comput. Phys., 2006)

Transport schemes on a sphere using radial basis functions. - Natasha Flyer; Grady B. Wright (J. Comput. Phys., 2007)

An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics. - Grady B. Wright; Robert D. Guy; Aaron L. Fogelson (SIAM J. Sci. Comput., 2008)

Error and stability estimates for surface-divergence free RBF interpolants on the sphere. - Edward J. Fuselier; Francis J. Narcowich; Joseph D. Ward; Grady B. Wright (Math. Comput., 2009)

Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs. - Edward J. Fuselier; Grady B. Wright (SIAM J. Numer. Anal., 2009)

Modeling of tsunami waves and atmospheric swirling flows with graphics processing unit (GPU) and radial basis functions (RBF). - Jessica Schmidt; Cécile Piret; Nan Zhang; Benjamin J. Kadlec; David A. Yuen; Yingchun Liu; Grady Barrett Wright; Erik O. D. Sevre (Concurr. Comput. Pract. Exp., 2010)

The Role of Floating Point Precision in Two- and Three-Dimensional High Rayleigh Bénard Convection Modeled on Fermi GPU. - David A. Sanchez; David A. Yuen; Yujun Sun; Grady Barrett Wright (CSE, 2011)

A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method - Varun Shankar; Grady B. Wright; Aaron L. Fogelson; Robert M. Kirby (CoRR, 2012)

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere. - Natasha Flyer; Erik Lehto; Sébastien Blaise; Grady B. Wright; Amik St.-Cyr (J. Comput. Phys., 2012)

Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates. - Edward J. Fuselier; Grady B. Wright (SIAM J. Numer. Anal., 2012)

A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method. - Varun Shankar; Grady B. Wright; Aaron L. Fogelson; Robert M. Kirby (CoRR, 2013)

Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows - Varun Shankar; Grady B. Wright; Robert M. Kirby; Aaron L. Fogelson (CoRR, 2013)

A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces. - Edward J. Fuselier; Grady B. Wright (J. Sci. Comput., 2013)

Localized Bases for Kernel Spaces on the Unit Sphere. - Edward J. Fuselier; Thomas Hangelbroek; Francis J. Narcowich; Joseph D. Ward; Grady Barrett Wright (SIAM J. Numer. Anal., 2013)

Kernel based quadrature on spheres and other homogeneous spaces. - Edward J. Fuselier; Thomas Hangelbroek; Francis J. Narcowich; Joseph D. Ward; Grady B. Wright (Numerische Mathematik, 2014)

Order-preserving derivative approximation with periodic radial basis functions. - Edward J. Fuselier; Grady B. Wright (Adv. Comput. Math., 2015)

A High-Order Radial Basis Function (RBF) Leray Projection Method for the Solution of the Incompressible Unsteady Stokes Equations. - Edward J. Fuselier; Varun Shankar; Grady B. Wright (CoRR, 2015)

A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. - Varun Shankar; Grady B. Wright; Robert M. Kirby; Aaron L. Fogelson (J. Sci. Comput., 2015)

Extension of Chebfun to Periodic Functions. - Grady B. Wright; Mohsin Javed; Hadrien Montanelli; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2015)

Computing with Functions in Spherical and Polar Geometries I. The Sphere. - Alex Townsend; Heather Wilber; Grady B. Wright (SIAM J. Sci. Comput., 2016)

Stable computations with flat radial basis functions using vector-valued rational approximations. - Grady B. Wright; Bengt Fornberg (J. Comput. Phys., 2017)

A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces. - Erik Lehto; Varun Shankar; Grady B. Wright (SIAM J. Sci. Comput., 2017)

Computing with Functions in Spherical and Polar Geometries II. The Disk. - Heather Wilber; Alex Townsend; Grady B. Wright (SIAM J. Sci. Comput., 2017)

Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions. - Varun Shankar; Grady B. Wright (J. Comput. Phys., 2018)

A Divergence-free and Curl-free Radial Basis Function Partition of Unity Method. - Kathryn P. Drake; Edward J. Fuselier; Grady B. Wright (CoRR, 2020)

A fast and accurate algorithm for spherical harmonic analysis on HEALPix grids with applications to the cosmic microwave background radiation. - Kathryn P. Drake; Grady B. Wright (J. Comput. Phys., 2020)

A stable algorithm for divergence-free radial basis functions in the flat limit. - Kathryn P. Drake; Grady B. Wright (J. Comput. Phys., 2020)

A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. - Varun Shankar; Grady B. Wright; Akil Narayan 001 (SIAM J. Sci. Comput., 2020)

An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. - Varun Shankar; Grady B. Wright; Aaron L. Fogelson (J. Comput. Phys., 2021)

A Partition of Unity Method for Divergence-Free or Curl-Free Radial Basis Function Approximation. - Kathryn P. Drake; Edward J. Fuselier; Grady B. Wright (SIAM J. Sci. Comput., 2021)

Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method. - Kathryn P. Drake; Edward J. Fuselier; Grady B. Wright (SIAM J. Sci. Comput., 2022)

MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces. - Grady B. Wright; Andrew M. Jones; Varun Shankar (SIAM J. Sci. Comput., 2023)

Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives. - Andrew M. Jones; Peter A. Bosler; Paul A. Kuberry; Grady B. Wright (Comput. Math. Appl., 2023)

Barycentric interpolation formulas for the sphere and the disk. - Michael Chiwere; Grady B. Wright (CoRR, 2024)

Generalized local polynomial reproductions. - Thomas Hangelbroek; Christian Rieger; Grady B. Wright (CoRR, 2024)

Spectral stability and perturbation results for kernel differentiation matrices on the sphere. - Thomas Hangelbroek; Christian Rieger; Grady B. Wright (Numerische Mathematik, 2025)

A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions. - Thomas Hangelbroek; Christian Rieger; Grady B. Wright (CoRR, 2025)