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Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

Mathematics of computation, 2005-04, Vol.74 (250), p.743-763

2005

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Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels

Foundations of computational mathematics, 2022-02, Vol.22 (1), p.1-34

2022

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Sobolev error estimates and a bernstein inequality for scattered data interpolation via radial basis functions

Constructive approximation, 2006-09, Vol.24 (2), p.175-186

2006

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A high-order meshless Galerkin method for semilinear parabolic equations on spheres

Numerische Mathematik, 2019-06, Vol.142 (2), p.383-419

2019

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Error and stability estimates for surface-divergence free RBF interpolants on the sphere

Mathematics of computation, 2009-10, Vol.78 (268), p.2157-2186

2009

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A novel Galerkin method for solving PDES on the sphere using highly localized kernel bases

Mathematics of computation, 2017-01, Vol.86 (303), p.197-231

2017

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Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions

Foundations of computational mathematics, 2007-07, Vol.7 (3), p.369-390

2007

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Approximation power of RBFs and their associated SBFs: a connection

Advances in computational mathematics, 2007-07, Vol.27 (1), p.107-124

2007

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Interpolating splines on graphs for data science applications

Applied and computational harmonic analysis, 2020-09, Vol.49 (2), p.540-557

2020

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Scattered data interpolation on spheres: Error estimates and locally supported basis functions

SIAM journal on mathematical analysis, 2002, Vol.33 (6), p.1393-1410

2002

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Error estimates for scattered data interpolation on spheres

Mathematics of computation, 1999-04, Vol.68 (226), p.733-747

1999

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Persistency of excitation in identification using radial basis function approximants

SIAM journal on control and optimization, 1995-03, Vol.33 (2), p.625-642

1995

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Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property

SIAM journal on optimization, 1999, Vol.10 (1), p.252-268

1999

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A Dual Approach to Constrained Interpolationfrom a Convex Subset of Hilbert Space

Journal of approximation theory, 1997-09, Vol.90 (3), p.385-414

1997

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Scattered-Data Interpolation on $\bb R^\protectn$: Error Estimates for Radial Basis and Band-Limited Functions

SIAM journal on mathematical analysis, 2004-01, Vol.36 (1), p.284-300

2004

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Refined error estimates for radial basis function interpolation

Constructive approximation, 2003-01, Vol.19 (4), p.541-564

2003

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Norms of inverses and condition numbers for matrices associated with scattered data

Journal of approximation theory, 1991, Vol.64 (1), p.69-94

1991

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Divergence-Free RBFs on Surfaces

The Journal of fourier analysis and applications, 2007-12, Vol.13 (6), p.643-663

2007

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Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices

Journal of approximation theory, 1992, Vol.69 (1), p.84-109

1992

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Constrained best approximation in Hilbert space, II

Journal of approximation theory, 1992, Vol.71 (2), p.213-238

1992

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Scattered-data interpolation on Rn: Error estimates for radial basis and band-limited functions

SIAM journal on mathematical analysis, 2005, Vol.36 (1), p.284-300

2005

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Nonstationary Wavelets on the m-Sphere for Scattered Data

Applied and computational harmonic analysis, 1996, Vol.3 (4), p.324-336

1996

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Preface

Advances in computational mathematics, 2004-07, Vol.21 (1/2), p.1-2

2004

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Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions

Mathematics of computation, 1994, Vol.63 (208), p.661-687

1994

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Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, 2018, p.517-543

2018

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Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels

Sobolev error estimates and a bernstein inequality for scattered data interpolation via radial basis functions

A high-order meshless Galerkin method for semilinear parabolic equations on spheres

Error and stability estimates for surface-divergence free RBF interpolants on the sphere

A novel Galerkin method for solving PDES on the sphere using highly localized kernel bases

Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions

Approximation power of RBFs and their associated SBFs: a connection

Interpolating splines on graphs for data science applications

Scattered data interpolation on spheres: Error estimates and locally supported basis functions

Error estimates for scattered data interpolation on spheres

Persistency of excitation in identification using radial basis function approximants

Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property

A Dual Approach to Constrained Interpolationfrom a Convex Subset of Hilbert Space

Scattered-Data Interpolation on $\bb R^\protectn$: Error Estimates for Radial Basis and Band-Limited Functions

Refined error estimates for radial basis function interpolation

Norms of inverses and condition numbers for matrices associated with scattered data

Divergence-Free RBFs on Surfaces

Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices

Constrained best approximation in Hilbert space, II

Scattered-data interpolation on Rn: Error estimates for radial basis and band-limited functions

Nonstationary Wavelets on the m-Sphere for Scattered Data

Preface

Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions

Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds

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