4 papers
Kernel approximation beyond the native space -- with applications to approximation on manifolds
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
This article treats kernel approximation and interpolation on embedded manifolds of using restrictions of positive and conditionally positive definite kernels. The ma…
Spectral interpolation in semi-implicit semi-Lagrangian methods for shallow water equations on the sphere
Michael Chiwere, Daniel Fortunato, Grady B. Wright
Semi-implicit semi-Lagrangian (SISL) methods are commonly used for the shallow water equations (SWE) because they allow for larger time steps than those permitted by the Courant-Fr…
A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
We analyze rates of uniform convergence for a class of high-order semi-Lagrangian schemes for first-order, time-dependent partial differential equations on embedded submanifolds of…
Error propagation of direct pressure gradient integration and a Helmholtz-Hodge decomposition based pressure field reconstruction method for image velocimetry
Lanyu Li, Jeffrey McClure, Grady B. Wright +3
Recovering pressure fields from image velocimetry measurements has two general strategies: i) directly integrating the pressure gradients from the momentum equation and ii) solving…