Norms of Inverses for Matrices Associated with Scattered Data. - Francis J. Narcowich; Joseph D. Ward (Curves and Surfaces, 1991)

Stability results for scattered-data interpolation on Euclidean spheres. - Francis J. Narcowich; N. Sivakumar; Joseph D. Ward (Adv. Comput. Math., 1998)

Approximation properties of zonal function networks using scattered data on the sphere. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Joseph D. Ward (Adv. Comput. Math., 1999)

Polynomial frames on the sphere. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Jürgen Prestin; Joseph D. Ward (Adv. Comput. Math., 2000)

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Joseph D. Ward (Math. Comput., 2001)

Approximation in Sobolev Spaces by Kernel Expansions. - Francis J. Narcowich; Robert Schaback; Joseph D. Ward (J. Approx. Theory, 2002)

Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Joseph D. Ward (Math. Comput., 2002)

Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions. - Francis J. Narcowich; Joseph D. Ward (SIAM J. Math. Anal., 2002)

Collocation discretizations of the transport equation with radial basis functions. - R. A. Lorentz; Francis J. Narcowich; Joseph D. Ward (Appl. Math. Comput., 2003)

Zonal function network frames on the sphere. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Joseph D. Ward (Neural Networks, 2003)

On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Joseph D. Ward (Adv. Comput. Math., 2004)

Preface. - Francis J. Narcowich; Joseph D. Ward (Adv. Comput. Math., 2004)

Scattered-Data Interpolation on Rn: Error Estimates for Radial Basis and Band-Limited Functions. - Francis J. Narcowich; Joseph D. Ward (SIAM J. Math. Anal., 2004)

Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. - Francis J. Narcowich; Joseph D. Ward; Holger Wendland (Math. Comput., 2005)

Recent developments in error estimates for scattered-data interpolation via radial basis functions. - Francis J. Narcowich (Numer. Algorithms, 2005)

Continuous and discrete least-squares approximation by radial basis functions on spheres. - Quoc Thong Le Gia; Francis J. Narcowich; Joseph D. Ward; Holger Wendland (J. Approx. Theory, 2006)

Localized Tight Frames on Spheres. - Francis J. Narcowich; Pencho Petrushev; Joseph D. Ward (SIAM J. Math. Anal., 2006)

Approximation power of RBFs and their associated SBFs: a connection. - Francis J. Narcowich; Xingping Sun; Joseph D. Ward (Adv. Comput. Math., 2007)

Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions. - Francis J. Narcowich; Xingping Sun; Joseph D. Ward; Holger Wendland (Found. Comput. Math., 2007)

Error and stability estimates for surface-divergence free RBF interpolants on the sphere. - Edward J. Fuselier; Francis J. Narcowich; Joseph D. Ward; Grady B. Wright (Math. Comput., 2009)

LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres. - Francis J. Narcowich; Xingping Sun; Joseph D. Ward; Zongmin Wu (J. Approx. Theory, 2010)

Lp Bernstein estimates and approximation by spherical basis functions. - Hrushikesh Narhar Mhaskar; Francis J. Narcowich; Jürgen Prestin; Joseph D. Ward (Math. Comput., 2010)

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)

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

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)

A novel Galerkin method for solving PDES on the sphere using highly localized kernel bases. - Francis J. Narcowich; Stephen T. Rowe; Joseph D. Ward (Math. Comput., 2017)

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)

A meshless Galerkin method for non-local diffusion using localized kernel bases. - R. B. Lehoucq; Francis J. Narcowich; Stephen T. Rowe; Joseph D. Ward (Math. Comput., 2018)

A high-order meshless Galerkin method for semilinear parabolic equations on spheres. - Jens Künemund; Francis J. Narcowich; Joseph D. Ward; Holger Wendland (Numerische Mathematik, 2019)

Locally supported, quasi-interpolatory bases on graphs. - John Paul Ward; Francis J. Narcowich; Joseph D. Ward (CoRR, 2021)

Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels. - Anat Amir; David Levin; Francis J. Narcowich; Joseph D. Ward (Found. Comput. Math., 2022)

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)

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)