Francis J. Narcowich

According to our database, Francis J. Narcowich authored at least 34 papers between 1991 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2023

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

2022

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

2021

Locally supported, quasi-interpolatory bases on graphs.

John Paul Ward, Francis J. Narcowich, Joseph D. Ward

CoRR, 2021

2019

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

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

An inverse theorem for compact Lipschitz regions in ℝ^d using localized kernel bases.

Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward

Math. Comput., 2018

2017

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

2014

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

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

2012

Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation.

Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward

Found. Comput. Math., 2012

2011

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

2010

Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant.

Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward

SIAM J. Math. Anal., 2010

L^p Bernstein estimates and approximation by spherical basis functions.

Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward

Math. Comput., 2010

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

2009

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

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

Approximation power of RBFs and their associated SBFs: a connection.

Francis J. Narcowich, Xingping Sun, Joseph D. Ward

Adv. Comput. Math., 2007

2006

Localized Tight Frames on Spheres.

Francis J. Narcowich, Pencho Petrushev, Joseph D. Ward

SIAM J. Math. Anal., 2006

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

2005

Recent developments in error estimates for scattered-data interpolation via radial basis functions.

Francis J. Narcowich

Numer. Algorithms, 2005

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

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

Preface.

Francis J. Narcowich, Joseph D. Ward

Adv. Comput. Math., 2004

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

2003

Zonal function network frames on the sphere.

Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward

Neural Networks, 2003

Collocation discretizations of the transport equation with radial basis functions.

R. A. Lorentz, Francis J. Narcowich, Joseph D. Ward

Appl. Math. Comput., 2003

2002

Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions.

Francis J. Narcowich, Joseph D. Ward

SIAM J. Math. Anal., 2002

Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''.

Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward

Math. Comput., 2002

Approximation in Sobolev Spaces by Kernel Expansions.

Francis J. Narcowich, Robert Schaback, Joseph D. Ward

J. Approx. Theory, 2002

2001

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature.

Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward

Math. Comput., 2001

2000

Polynomial frames on the sphere.

Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward

Adv. Comput. Math., 2000

1999

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

1998

Stability results for scattered-data interpolation on Euclidean spheres.

Francis J. Narcowich, N. Sivakumar, Joseph D. Ward

Adv. Comput. Math., 1998

1991

Norms of Inverses for Matrices Associated with Scattered Data.

Francis J. Narcowich, Joseph D. Ward

Proceedings of the Curves and Surfaces, 1991