Dimension of C1-splines on type-6 tetrahedral partitions. - Thomas Hangelbroek; Günther Nürnberger; Christian Rössl; Hans-Peter Seidel; Frank Zeilfelder (J. Approx. Theory, 2004)

Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant. - Thomas Hangelbroek; Francis J. Narcowich; Joseph D. Ward (SIAM J. Math. Anal., 2010)

Kernel Approximation on Manifolds II: The L∞ Norm of the L2 Projector. - Thomas Hangelbroek; Francis J. Narcowich; Xingping Sun; Joseph D. Ward (SIAM J. Math. Anal., 2011)

On local RBF approximation. - Thomas Hangelbroek (Adv. Comput. Math., 2012)

Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation. - Thomas Hangelbroek; Francis J. Narcowich; Joseph D. Ward (Found. Comput. Math., 2012)

On the density of polyharmonic splines. - Thomas Hangelbroek; Jeremy Levesley (J. Approx. Theory, 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)

An inverse theorem for compact Lipschitz regions in ℝd using localized kernel bases. - Thomas Hangelbroek; Francis J. Narcowich; Christian Rieger; Joseph D. Ward (Math. Comput., 2018)

Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. - Wolfgang Erb; Thomas Hangelbroek; Francis J. Narcowich; Christian Rieger; Joseph D. Ward (CoRR, 2023)

Kernel Multi-Grid on Manifolds. - Thomas Hangelbroek; Christian Rieger (CoRR, 2023)

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

Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms. - Thomas Hangelbroek; Christian Rieger (Math. Comput., 2024)

Kernel multigrid on manifolds. - Thomas Hangelbroek; Christian Rieger (J. Complex., 2025)

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

Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs. - Thomas Hangelbroek; Francis J. Narcowich; Joseph D. Ward (CoRR, 2025)

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