Francis J. Narcowich

Publication Activity (10 Years)

Years Active: 1998-2023
Publications (10 Years): 7

Top Topics

Von Mises Fisher

Finite Difference

Top Venues

Numerische Mathematik

SIAM J. Numer. Anal.

Publications

Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. CoRR (2023)
Anat Amir, David Levin, Francis J. Narcowich, Joseph D. Ward
Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels. Found. Comput. Math. 22 (1) (2022)
John Paul Ward, Francis J. Narcowich, Joseph D. Ward
Locally supported, quasi-interpolatory bases on graphs. CoRR (2021)
Jens Künemund, Francis J. Narcowich, Joseph D. Ward, Holger Wendland
A high-order meshless Galerkin method for semilinear parabolic equations on spheres. Numerische Mathematik 142 (2) (2019)
R. B. Lehoucq, Francis J. Narcowich, Stephen T. Rowe, Joseph D. Ward
A meshless Galerkin method for non-local diffusion using localized kernel bases. Math. Comput. 87 (313) (2018)
Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
using localized kernel bases. Math. Comput. 87 (312) (2018)
Francis J. Narcowich, Stephen T. Rowe, Joseph D. Ward
A novel Galerkin method for solving PDES on the sphere using highly localized kernel bases. Math. Comput. 86 (303) (2017)
Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
Kernel based quadrature on spheres and other homogeneous spaces. Numerische Mathematik 127 (1) (2014)
Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady Barrett Wright
Localized Bases for Kernel Spaces on the Unit Sphere. SIAM J. Numer. Anal. 51 (5) (2013)
Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation. Found. Comput. Math. 12 (5) (2012)
Thomas Hangelbroek, Francis J. Narcowich, Xingping Sun, Joseph D. Ward
Projector. SIAM J. Math. Anal. 43 (2) (2011)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward
Bernstein estimates and approximation by spherical basis functions. Math. Comput. 79 (271) (2010)
Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward
Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant. SIAM J. Math. Anal. 42 (4) (2010)
Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Zongmin Wu
LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres. J. Approx. Theory 162 (6) (2010)
Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright
Error and stability estimates for surface-divergence free RBF interpolants on the sphere. Math. Comput. 78 (268) (2009)
Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Holger Wendland
Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions. Found. Comput. Math. 7 (3) (2007)
Francis J. Narcowich, Xingping Sun, Joseph D. Ward
Approximation power of RBFs and their associated SBFs: a connection. Adv. Comput. Math. 27 (1) (2007)
Quoc Thong Le Gia, Francis J. Narcowich, Joseph D. Ward, Holger Wendland
Continuous and discrete least-squares approximation by radial basis functions on spheres. J. Approx. Theory 143 (1) (2006)
Francis J. Narcowich, Pencho Petrushev, Joseph D. Ward
Localized Tight Frames on Spheres. SIAM J. Math. Anal. 38 (2) (2006)
Francis J. Narcowich, Joseph D. Ward, Holger Wendland
Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Math. Comput. 74 (250) (2005)
Francis J. Narcowich
Recent developments in error estimates for scattered-data interpolation via radial basis functions. Numer. Algorithms 39 (1-3) (2005)
Francis J. Narcowich, Joseph D. Ward
Preface. Adv. Comput. Math. 21 (1-2) (2004)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits. Adv. Comput. Math. 21 (1-2) (2004)
Francis J. Narcowich, Joseph D. Ward
: Error Estimates for Radial Basis and Band-Limited Functions. SIAM J. Math. Anal. 36 (1) (2004)
R. A. Lorentz, Francis J. Narcowich, Joseph D. Ward
Collocation discretizations of the transport equation with radial basis functions. Appl. Math. Comput. 145 (1) (2003)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
Zonal function network frames on the sphere. Neural Networks 16 (2) (2003)
Francis J. Narcowich, Robert Schaback, Joseph D. Ward
Approximation in Sobolev Spaces by Kernel Expansions. J. Approx. Theory 114 (1) (2002)
Francis J. Narcowich, Joseph D. Ward
Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions. SIAM J. Math. Anal. 33 (6) (2002)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''. Math. Comput. 71 (237) (2002)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comput. 70 (235) (2001)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward
Polynomial frames on the sphere. Adv. Comput. Math. 13 (4) (2000)
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward
Approximation properties of zonal function networks using scattered data on the sphere. Adv. Comput. Math. 11 (2-3) (1999)
Francis J. Narcowich, N. Sivakumar, Joseph D. Ward
Stability results for scattered-data interpolation on Euclidean spheres. Adv. Comput. Math. 8 (3) (1998)