Martin D. Buhmann

Orcid: 0000-0002-3313-4561

Affiliations:
  • University of Giessen, Germany


According to our database1, Martin D. Buhmann authored at least 24 papers between 1991 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
New methods for quasi-interpolation approximations: resolution of odd-degree singularities.
CoRR, 2023

2021
Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres.
CoRR, 2021

Implementing and modifying Broyden class updates for large scale optimization.
Comput. Optim. Appl., 2021

2020
Pólya-type criteria for conditional strict positive definiteness of functions on spheres.
J. Approx. Theory, 2020

Multiply monotone functions for radial basis function interpolation: Extensions and new kernels.
J. Approx. Theory, 2020

Discretization on high-dimensional domains.
CoRR, 2020

2019
Michael J.D. Powell's work in approximation theory and optimisation.
J. Approx. Theory, 2019

Preface.
J. Approx. Theory, 2019

2017
Radial Basis Function Networks.
Proceedings of the Encyclopedia of Machine Learning and Data Mining, 2017

Error bounds for multiquadrics without added constants.
J. Approx. Theory, 2017

2015
Pointwise approximation with quasi-interpolation by radial basis functions.
J. Approx. Theory, 2015

2010
Radial Basis Function Networks.
Proceedings of the Encyclopedia of Machine Learning, 2010

Radial basis function.
Scholarpedia, 2010

Preface.
J. Approx. Theory, 2010

2009
Radial Basis Functions - Theory and Implementations.
Cambridge monographs on applied and computational mathematics 12, Cambridge University Press, ISBN: 978-0-521-10133-2, 2009

2006
Preface.
J. Approx. Theory, 2006

Half-plane approximation with radial functions.
Comput. Math. Appl., 2006

Semi-infinite cardinal interpolation with multiquadrics and beyond.
Adv. Comput. Math., 2006

2003
Cubic Spline Prewavelets on the Four-Directional Mesh.
Found. Comput. Math., 2003

2001
A new class of radial basis functions with compact support.
Math. Comput., 2001

Box Spline Prewavelets of Small Support.
J. Approx. Theory, 2001

1997
Approximation theory and optimization - tributes to M. J. D. Powell.
Cambridge University Press, ISBN: 978-0-521-58190-5, 1997

1994
Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A Review.
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, 1994

1991
Error Estimates for Multiquadric Interpolation.
Proceedings of the Curves and Surfaces, 1991


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