88 citations · 309 across the 22 of their papers we have counts for
4 papers · 2 filters
Kernel Based Quadrature on Spheres and Other Homogeneous Spaces
E. Fuselier, T. Hangelbroek, F. J. Narcowich +2
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…
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method
Varun Shankar, Grady B. Wright, Aaron L. Fogelson +1
The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretizati…
A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces
Edward J. Fuselier, Grady B. Wright
In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedd…
Localized bases for kernel spaces on the unit sphere
E. Fuselier, T. Hangelbroek, F. J. Narcowich +2
Approximation/interpolation from spaces of positive definite or conditionally positive definite kernels is an increasingly popular tool for the analysis and synthesis of scattered…