H. Wendland | Semantic Scholar

Publications
Influence

H. Wendland
Mathematics
1 December 2004

1. Applications and motivations 2. Hear spaces and multivariate polynomials 3. Local polynomial reproduction 4. Moving least squares 5. Auxiliary tools from analysis and measure theory 6. Positive…

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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

H. Wendland
Mathematics
Adv. Comput. Math.
1 December 1995

A new class of positive definite and compactly supported radial functions which consist of a univariate polynomial within their support is constructed, it is proved that they are of minimal degree and unique up to a constant factor.

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Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree

H. Wendland
Mathematics
1 May 1998

We consider error estimates for interpolation by a special class of compactly supported radial basis functions. These functions consist of a univariate polynomial within their support and are of…

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Multivariate interpolation for fluid-structure-interaction problems using radial basis functions

Armin Beckert, H. Wendland
Mathematics
1 February 2001

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Kernel techniques: From machine learning to meshless methods

R. Schaback, H. Wendland
Computer Science
Acta Numerica
1 May 2006

This contribution explains why and how kernels are applied in these disciplines and uncovers the links between them, in so far as they are related to kernel techniques.

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Computational Aspects of Radial Basis Function Approximation

H. Wendland
Computer Science
2006

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Sobolev Error Estimates and a Bernstein Inequality for Scattered Data Interpolation via Radial Basis Functions

F. J. Narcowich, J. Ward, H. Wendland
Mathematics
12 April 2006

Error estimates for scattered-data interpolation via radial basis functions (RBFs) for target functions in the associated reproducing kernel Hilbert space (RKHS) have been known for a long time.…

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Local polynomial reproduction and moving least squares approximation

H. Wendland
Mathematics, Computer Science
2001

A result is provided which allows us to bound the Lebesgue constants uniformly and independently of the space dimension by oversampling and this results are used to establish error estimates for the moving least squares approximation scheme.

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Characterization and construction of radial basis functions

R. Schaback, H. Wendland
Mathematics
2001

We review characterizations of (conditional) positive definiteness and show how they apply to the theory of radial basis functions. We then give complete proofs for the (conditional) positive…

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

F. J. Narcowich, J. Ward, H. Wendland
Mathematics
Math. Comput.
20 August 2004

Sobolev bounds on functions that vanish at scattered points in a bounded, Lipschitz domain that satisfies a uniform interior cone condition are discussed and estimates are obtained for continuous and discrete least squares surface fits via radial basis functions (RBFs).

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