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ORCIDFrancis J. Narcowich
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2020 – today
- 2023
[i2]Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward:
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. CoRR abs/2302.08470 (2023)- 2022
- [j31]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): 1-34 (2022) - 2021
- [i1]John Paul Ward, Francis J. Narcowich, Joseph D. Ward:
Locally supported, quasi-interpolatory bases on graphs. CoRR abs/2101.02256 (2021)
2010 – 2019
- 2019
- [j30]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): 383-419 (2019) - 2018
- [j29]Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward:
An inverse theorem for compact Lipschitz regions in ℝd using localized kernel bases. Math. Comput. 87(312): 1949-1989 (2018) - [j28]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): 2233-2258 (2018) - 2017
- [j27]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): 197-231 (2017) - 2014
- [j26]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): 57-92 (2014) - 2013
- [j25]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): 2538-2562 (2013) - 2012
- [j24]Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward:
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation. Found. Comput. Math. 12(5): 625-670 (2012) - 2011
- [j23]Thomas Hangelbroek, Francis J. Narcowich, Xingping Sun, Joseph D. Ward:
Kernel Approximation on Manifolds II: The L∞ Norm of the L2 Projector. SIAM J. Math. Anal. 43(2): 662-684 (2011) - 2010
- [j22]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): 1256-1278 (2010) - [j21]Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin
, Joseph D. Ward:
Lp Bernstein estimates and approximation by spherical basis functions. Math. Comput. 79(271): 1647-1679 (2010) - [j20]Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward:
Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant. SIAM J. Math. Anal. 42(4): 1732-1760 (2010)
2000 – 2009
- 2009
- [j19]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): 2157-2186 (2009) - 2007
- [j18]Francis J. Narcowich, Xingping Sun, Joseph D. Ward:
Approximation power of RBFs and their associated SBFs: a connection. Adv. Comput. Math. 27(1): 107-124 (2007) - [j17]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): 369-390 (2007) - 2006
- [j16]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): 124-133 (2006) - [j15]Francis J. Narcowich, Pencho Petrushev, Joseph D. Ward:
Localized Tight Frames on Spheres. SIAM J. Math. Anal. 38(2): 574-594 (2006) - 2005
- [j14]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): 743-763 (2005) - [j13]Francis J. Narcowich:
Recent developments in error estimates for scattered-data interpolation via radial basis functions. Numer. Algorithms 39(1-3): 307-315 (2005) - 2004
- [j12]Francis J. Narcowich, Joseph D. Ward:
Preface. Adv. Comput. Math. 21(1-2): 1-2 (2004) - [j11]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): 127-146 (2004) - [j10]Francis J. Narcowich, Joseph D. Ward:
Scattered-Data Interpolation on Rn: Error Estimates for Radial Basis and Band-Limited Functions. SIAM J. Math. Anal. 36(1): 284-300 (2004) - 2003
- [j9]R. A. Lorentz, Francis J. Narcowich, Joseph D. Ward:
Collocation discretizations of the transport equation with radial basis functions. Appl. Math. Comput. 145(1): 97-116 (2003) - [j8]Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward:
Zonal function network frames on the sphere. Neural Networks 16(2): 183-203 (2003) - 2002
- [j7]Francis J. Narcowich, Robert Schaback, Joseph D. Ward:
Approximation in Sobolev Spaces by Kernel Expansions. J. Approx. Theory 114(1): 70-83 (2002) - [j6]Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward:
Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''. Math. Comput. 71(237): 453-454 (2002) - [j5]Francis J. Narcowich, Joseph D. Ward:
Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions. SIAM J. Math. Anal. 33(6): 1393-1410 (2002) - 2001
- [j4]Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward:
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comput. 70(235): 1113-1130 (2001) - 2000
- [j3]Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward:
Polynomial frames on the sphere. Adv. Comput. Math. 13(4): 387-403 (2000)
1990 – 1999
- 1999
- [j2]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): 121-137 (1999) - 1998
- [j1]Francis J. Narcowich, N. Sivakumar, Joseph D. Ward:
Stability results for scattered-data interpolation on Euclidean spheres. Adv. Comput. Math. 8(3): 137-163 (1998) - 1991
- [p1]Francis J. Narcowich, Joseph D. Ward:
Norms of Inverses for Matrices Associated with Scattered Data. Curves and Surfaces 1991: 341-348
Coauthor Index
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