Grady B. Wright

Publication Activity (10 Years)

Years Active: 2006-2023
Publications (10 Years): 26

Top Topics

Radial Basis Function

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

J. Sci. Comput.

Publications

Thomas Hangelbroek, Christian Rieger, Grady B. Wright
Spectral stability and perturbation results for kernel differentiation matrices on the sphere. CoRR (2023)
Grady B. Wright, Andrew C. Jones, Varun Shankar
MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces. SIAM J. Sci. Comput. 45 (2) (2023)
Andrew M. Jones, Peter A. Bosler, Paul A. Kuberry, Grady B. Wright
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives. Comput. Math. Appl. 147 (2023)
Andrew M. Jones, Peter A. Bosler, Paul A. Kuberry, Grady B. Wright
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives. CoRR (2023)
Grady B. Wright, Andrew M. Jones, Varun Shankar
MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. CoRR (2022)
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method. SIAM J. Sci. Comput. 44 (5) (2022)
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
A Partition of Unity Method for Divergence-Free or Curl-Free Radial Basis Function Approximation. SIAM J. Sci. Comput. 43 (3) (2021)
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
Implicit Surface Reconstruction with a Curl-free Radial Basis Function Partition of Unity Method. CoRR (2021)
Varun Shankar, Grady B. Wright, Aaron L. Fogelson
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. J. Comput. Phys. 445 (2021)
Varun Shankar, Grady B. Wright, Aaron L. Fogelson
An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains. CoRR (2020)
Kathryn P. Drake, Grady B. Wright
A stable algorithm for divergence-free radial basis functions in the flat limit. J. Comput. Phys. 417 (2020)
Kathryn P. Drake, Grady B. Wright
A stable algorithm for divergence-free radial basis functions in the flat limit. CoRR (2020)
Kathryn P. Drake, Grady B. Wright
A fast and accurate algorithm for spherical harmonic analysis on HEALPix grids with applications to the cosmic microwave background radiation. J. Comput. Phys. 416 (2020)
Varun Shankar, Grady B. Wright, Akil Narayan
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. SIAM J. Sci. Comput. 42 (4) (2020)
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
A Divergence-free and Curl-free Radial Basis Function Partition of Unity Method. CoRR (2020)
Varun Shankar, Grady B. Wright, Akil Narayan
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. CoRR (2019)
Varun Shankar, Grady B. Wright
Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions. J. Comput. Phys. 366 (2018)
Varun Shankar, Grady B. Wright
Mesh-free Semi-Lagrangian Methods for Transport on a Sphere Using Radial Basis Functions. CoRR (2018)
Erik Lehto, Varun Shankar, Grady B. Wright
A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces. SIAM J. Sci. Comput. 39 (5) (2017)
Heather Wilber, Alex Townsend, Grady B. Wright
Computing with Functions in Spherical and Polar Geometries II. The Disk. SIAM J. Sci. Comput. 39 (3) (2017)
Grady B. Wright, Bengt Fornberg
Stable computations with flat radial basis functions using vector-valued rational approximations. J. Comput. Phys. 331 (2017)
Alex Townsend, Heather Wilber, Grady B. Wright
Computing with Functions in Spherical and Polar Geometries I. The Sphere. SIAM J. Sci. Comput. 38 (4) (2016)
Edward J. Fuselier, Varun Shankar, Grady B. Wright
A High-Order Radial Basis Function (RBF) Leray Projection Method for the Solution of the Incompressible Unsteady Stokes Equations. CoRR (2015)
Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. J. Sci. Comput. 63 (3) (2015)
Grady B. Wright, Mohsin Javed, Hadrien Montanelli, Lloyd N. Trefethen
Extension of Chebfun to Periodic Functions. SIAM J. Sci. Comput. 37 (5) (2015)
Edward J. Fuselier, Grady B. Wright
Order-preserving derivative approximation with periodic radial basis functions. Adv. Comput. Math. 41 (1) (2015)
Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
Kernel based quadrature on spheres and other homogeneous spaces. Numerische Mathematik 127 (1) (2014)
Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. CoRR (2014)
Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson
Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows CoRR (2013)
Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby
A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method. CoRR (2013)
Edward J. Fuselier, Grady B. Wright
A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces. J. Sci. Comput. 56 (3) (2013)
Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method CoRR (2012)
Natasha Flyer, Erik Lehto, Sébastien Blaise, Grady B. Wright, Amik St.-Cyr
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere. J. Comput. Phys. 231 (11) (2012)
Edward J. Fuselier, Grady B. Wright
Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates. SIAM J. Numer. Anal. 50 (3) (2012)
Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
Error and stability estimates for surface-divergence free RBF interpolants on the sphere. Math. Comput. 78 (268) (2009)
Edward J. Fuselier, Grady B. Wright
Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs. SIAM J. Numer. Anal. 47 (5) (2009)
Grady B. Wright, Robert D. Guy, Aaron L. Fogelson
An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics. SIAM J. Sci. Comput. 30 (5) (2008)
Natasha Flyer, Grady B. Wright
Transport schemes on a sphere using radial basis functions. J. Comput. Phys. 226 (1) (2007)
Bengt Fornberg, Elisabeth Larsson, Grady B. Wright
A new class of oscillatory radial basis functions. Comput. Math. Appl. 51 (8) (2006)
Grady B. Wright, Bengt Fornberg
Scattered node compact finite difference-type formulas generated from radial basis functions. J. Comput. Phys. 212 (1) (2006)