M
Martin D. Buhmann
Researcher at University of Giessen
Publications - 42
Citations - 4103
Martin D. Buhmann is an academic researcher from University of Giessen. The author has contributed to research in topics: Radial basis function & Interpolation. The author has an hindex of 12, co-authored 38 publications receiving 3936 citations. Previous affiliations of Martin D. Buhmann include ETH Zurich & Technical University of Dortmund.
Papers
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Radial Basis Functions: Theory and Implementations
TL;DR: In this paper, a radial basis function approximation on infinite grids is proposed, based on the wavelet method with radial basis functions (WBFF) with compact support, which is a general method for approximation and interpolation.
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Radial Basis Functions
Martin D. Buhmann,M. D. Buhmann +1 more
TL;DR: This paper gives a selective but up-to-date survey of several recent developments that explains their usefulness from the theoretical point of view and contributes useful new classes of radial basis function.
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A new class of radial basis functions with compact support
TL;DR: This paper studies a new, larger class of smooth radial functions of compact support which contains other compactly supported ones that were proposed earlier in the literature.
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Stability of the discretized pantograph differential equation
Martin D. Buhmann,Arieh Iserles +1 more
TL;DR: In this article, the authors studied discretizations of the general pantograph equation with trapezoidal rule discretization and identified conditions on a, b, c and the stepsize which imply that the solution sequence is bounded or tends to zero algebraically, as a negative power of n.
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Radial functions on compact support
TL;DR: In this paper, the radial basis functions that are compactly supported and give rise to positive definite interpolation matrices for scattered data are discussed, which are related to the well-known thin plate spline radial functions which are highly useful in applications for grid free approximation methods.