Francis J. Narcowich

35 papers Journal 34

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs. CoRR Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward
2023	J	`jnl`	Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. CoRR Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
2022	J	`jnl`	Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels. Found. Comput. Math. Anat Amir, David Levin, Francis J. Narcowich, Joseph D. Ward
2021	J	`jnl`	Locally supported, quasi-interpolatory bases on graphs. CoRR John Paul Ward, Francis J. Narcowich, Joseph D. Ward
2019	J	`jnl`	A high-order meshless Galerkin method for semilinear parabolic equations on spheres. Numerische Mathematik Jens Künemund, Francis J. Narcowich, Joseph D. Ward, Holger Wendland
2018	J	`jnl`	A meshless Galerkin method for non-local diffusion using localized kernel bases. Math. Comput. R. B. Lehoucq, Francis J. Narcowich, Stephen T. Rowe, Joseph D. Ward
2018	J	`jnl`	An inverse theorem for compact Lipschitz regions in ℝ Math. Comput. Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
2017	J	`jnl`	A novel Galerkin method for solving PDES on the sphere using highly localized kernel bases. Math. Comput. Francis J. Narcowich, Stephen T. Rowe, Joseph D. Ward
2014	J	`jnl`	Kernel based quadrature on spheres and other homogeneous spaces. Numerische Mathematik Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
2013	J	`jnl`	Localized Bases for Kernel Spaces on the Unit Sphere. SIAM J. Numer. Anal. Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady Barrett Wright
2012	J	`jnl`	Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation. Found. Comput. Math. Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward
2011	J	`jnl`	Kernel Approximation on Manifolds II: The L SIAM J. Math. Anal. Thomas Hangelbroek, Francis J. Narcowich, Xingping Sun, Joseph D. Ward
2010	J	`jnl`	Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant. SIAM J. Math. Anal. Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward
2010	J	`jnl`	L Math. Comput. Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward
2010	J	`jnl`	LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres. J. Approx. Theory Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Zongmin Wu
2009	J	`jnl`	Error and stability estimates for surface-divergence free RBF interpolants on the sphere. Math. Comput. Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
2007	J	`jnl`	Approximation power of RBFs and their associated SBFs: a connection. Adv. Comput. Math. Francis J. Narcowich, Xingping Sun, Joseph D. Ward
2007	J	`jnl`	Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions. Found. Comput. Math. Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Holger Wendland
2006	J	`jnl`	Continuous and discrete least-squares approximation by radial basis functions on spheres. J. Approx. Theory Quoc Thong Le Gia, Francis J. Narcowich, Joseph D. Ward, Holger Wendland
2006	J	`jnl`	Localized Tight Frames on Spheres. SIAM J. Math. Anal. Francis J. Narcowich, Pencho Petrushev, Joseph D. Ward
2005	J	`jnl`	Recent developments in error estimates for scattered-data interpolation via radial basis functions. Numer. Algorithms Francis J. Narcowich
2005	J	`jnl`	Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Math. Comput. Francis J. Narcowich, Joseph D. Ward, Holger Wendland
2004	J	`jnl`	On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits. Adv. Comput. Math. Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
2004	J	`jnl`	Preface. Adv. Comput. Math. Francis J. Narcowich, Joseph D. Ward
2004	J	`jnl`	Scattered-Data Interpolation on R SIAM J. Math. Anal. Francis J. Narcowich, Joseph D. Ward
2003	J	`jnl`	Collocation discretizations of the transport equation with radial basis functions. Appl. Math. Comput. R. A. Lorentz, Francis J. Narcowich, Joseph D. Ward
2003	J	`jnl`	Zonal function network frames on the sphere. Neural Networks Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
2002	J	`jnl`	Approximation in Sobolev Spaces by Kernel Expansions. J. Approx. Theory Francis J. Narcowich, Robert Schaback, Joseph D. Ward
2002	J	`jnl`	Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''. Math. Comput. Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
2002	J	`jnl`	Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions. SIAM J. Math. Anal. Francis J. Narcowich, Joseph D. Ward
2001	J	`jnl`	Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comput. Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
2000	J	`jnl`	Polynomial frames on the sphere. Adv. Comput. Math. Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward
1999	J	`jnl`	Approximation properties of zonal function networks using scattered data on the sphere. Adv. Comput. Math. Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
1998	J	`jnl`	Stability results for scattered-data interpolation on Euclidean spheres. Adv. Comput. Math. Francis J. Narcowich, N. Sivakumar, Joseph D. Ward
1991	—	`ch.`	Norms of Inverses for Matrices Associated with Scattered Data. Curves and Surfaces Francis J. Narcowich, Joseph D. Ward