(with G. Wright) Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs, submitted.
(with F. Narcowich, J.Ward and G.Wright) Error and Stability Estimates for Surface-Divergence Free RBF Interpolants on the Sphere, Mathematics of Compuation, (accepted, to appear).
Improved Stability Estimates and a Characterization of the Native Space for Matrix-valued RBFs, Advances In Computational Mathematics, (accepted, to appear).
(with N. Ben´ýtez, T. Broadhurst, D. Coe and H. Ford) LensPerfect: Gravitational Lens Massmap Reconstruction Yielding Exact Reproduction of all Possible Images, The Astrophysical Journal. 681 (2008), no. 2, 814–830.
Sobolev-type Approximation Rates for Divergence-free and Curl-free RBF Interpolants, Mathematics of Computation, 77 (2008), no. 263, 1407–1423.
Refined Error Estimates for Matrix-Valued Radial Basis Functions, Ph.D. Thesis, Texas A&M University, May 2006.
(with D. R. McCarthy) Reduction in Transport by the Parallel Velocity Shear Instability Due to Reversed Magnetic Shear, Physics of Plasmas, August 2001, 3645-3651.