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ORCIDMartin D. Buhmann
Person information
- affiliation: University of Giessen, Germany
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Books and Theses
- 2009
[b2]Martin D. Buhmann:
Radial Basis Functions - Theory and Implementations. Cambridge monographs on applied and computational mathematics 12, Cambridge University Press 2009, ISBN 978-0-521-10133-2, pp. I-X, 1-259- 1997
- [b1]Martin D. Buhmann, Arieh Iserles:
Approximation theory and optimization - tributes to M. J. D. Powell. Cambridge University Press 1997, ISBN 978-0-521-58190-5, pp. I-XIII, 1-220
Journal Articles
- 2024
- [j16]Martin D. Buhmann
, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez:
New methods for quasi-interpolation approximations: Resolution of odd-degree singularities. Math. Comput. Simul. 223: 50-64 (2024) - 2021
- [j15]Martin D. Buhmann, Dirk Siegel:
Implementing and modifying Broyden class updates for large scale optimization. Comput. Optim. Appl. 78(1): 181-203 (2021) - 2020
- [j14]Martin D. Buhmann, Janin Jäger:
Multiply monotone functions for radial basis function interpolation: Extensions and new kernels. J. Approx. Theory 256: 105434 (2020) - [j13]Martin D. Buhmann, Janin Jäger:
Pólya-type criteria for conditional strict positive definiteness of functions on spheres. J. Approx. Theory 257: 105440 (2020) - 2019
- [j12]Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov:
Preface. J. Approx. Theory 238: 1-2 (2019) - [j11]Martin D. Buhmann:
Michael J.D. Powell's work in approximation theory and optimisation. J. Approx. Theory 238: 3-25 (2019) - 2017
- [j10]Martin D. Buhmann, Oleg Davydov:
Error bounds for multiquadrics without added constants. J. Approx. Theory 219: 1-14 (2017) - 2015
- [j9]Martin D. Buhmann, Feng Dai:
Pointwise approximation with quasi-interpolation by radial basis functions. J. Approx. Theory 192: 156-192 (2015) - 2010
- [j8]Martin D. Buhmann, Kurt Jetter:
Preface. J. Approx. Theory 162(3): 493 (2010) - [j7]Martin D. Buhmann:
Radial basis function. Scholarpedia 5(5): 9837 (2010) - 2006
- [j6]Martin D. Buhmann:
Semi-infinite cardinal interpolation with multiquadrics and beyond. Adv. Comput. Math. 24(1-4): 57-80 (2006) - [j5]Martin D. Buhmann:
Half-plane approximation with radial functions. Comput. Math. Appl. 51(8): 1171-1184 (2006) - [j4]Martin D. Buhmann, Juan Manuel Peña:
Preface. J. Approx. Theory 143(1): 1 (2006) - 2003
- [j3]Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman:
Cubic Spline Prewavelets on the Four-Directional Mesh. Found. Comput. Math. 3(2): 113-133 (2003) - 2001
- [j2]Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman:
Box Spline Prewavelets of Small Support. J. Approx. Theory 112(1): 16-27 (2001) - [j1]Martin D. Buhmann:
A new class of radial basis functions with compact support. Math. Comput. 70(233): 307-318 (2001)
Conference and Workshop Papers
- 1994
- [c1]Martin D. Buhmann:
Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A Review. IMA Conference on the Mathematics of Surfaces 1994: 309-324
Parts in Books or Collections
- 1991
- [p1]Martin D. Buhmann, Nira Dyn:
Error Estimates for Multiquadric Interpolation. Curves and Surfaces 1991: 51-58
Reference Works
- 2017
- [r2]Martin D. Buhmann:
Radial Basis Function Networks. Encyclopedia of Machine Learning and Data Mining 2017: 1049-1054 - 2010
- [r1]Martin D. Buhmann:
Radial Basis Function Networks. Encyclopedia of Machine Learning 2010: 823-827
Informal and Other Publications
- 2024
- [i7]Mathis Ortmann, Martin D. Buhmann:
On Quasi-Interpolation and their associated shift-invariant space using a new class of generalized Thin Plate Splines and Inverse Multiquadrics. CoRR abs/2406.16088 (2024) - [i6]Martin D. Buhmann, Feng Dai:
Compression using Quasi-Interpolation. CoRR abs/2407.05772 (2024) - 2023
- [i5]Martin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez:
New methods for quasi-interpolation approximations: resolution of odd-degree singularities. CoRR abs/2309.02867 (2023) - [i4]Mathis Ortmann, Martin D. Buhmann:
High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics. CoRR abs/2309.03134 (2023) - 2022
- [i3]Martin D. Buhmann, Yuan Xu:
Positive definite functions on a regular domain. CoRR abs/2204.05696 (2022) - 2021
- [i2]Martin D. Buhmann, Janin Jäger:
Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres. CoRR abs/2105.02586 (2021) - 2020
- [i1]Martin D. Buhmann, Feng Dai, Yeli Niu:
Discretization on high-dimensional domains. CoRR abs/2011.04596 (2020)
Coauthor Index
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