Martin D. Buhmann - researchr alias

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2024

New methods for quasi-interpolation approximations: Resolution of odd-degree singularitiesMartin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez. mcs, 223:50-64, 2024. [doi]

2021

Implementing and modifying Broyden class updates for large scale optimizationMartin D. Buhmann, Dirk Siegel. coap, 78(1):181-203, 2021. [doi]

2020

Pólya-type criteria for conditional strict positive definiteness of functions on spheresMartin D. Buhmann, Janin Jäger. jat, 257:105440, 2020. [doi]

Multiply monotone functions for radial basis function interpolation: Extensions and new kernelsMartin D. Buhmann, Janin Jäger. jat, 256:105434, 2020. [doi]

2019

PrefaceElena E. Berdysheva, Martin D. Buhmann, Oleg Davydov. jat, 238:1-2, 2019. [doi]

Michael J.D. Powell's work in approximation theory and optimisationMartin D. Buhmann. jat, 238:3-25, 2019. [doi]

2017

Error bounds for multiquadrics without added constantsMartin D. Buhmann, Oleg Davydov. jat, 219:1-14, 2017. [doi]

2015

Pointwise approximation with quasi-interpolation by radial basis functionsMartin D. Buhmann, Feng Dai. jat, 192:156-192, 2015. [doi]

2010

Radial basis functionMartin D. Buhmann. scholarpedia, 5(5):9837, 2010. [doi]

PrefaceMartin D. Buhmann, Kurt Jetter. jat, 162(3):493, 2010. [doi]

2009

Radial Basis Functions - Theory and ImplementationsMartin D. Buhmann. Volume 12 of Cambridge monographs on applied and computational mathematics, Cambridge University Press, 2009. [doi]

2006

Semi-infinite cardinal interpolation with multiquadrics and beyondMartin D. Buhmann. adcm, 24(1-4):57-80, 2006. [doi]

PrefaceMartin D. Buhmann, Juan Manuel Peña. jat, 143(1):1, 2006. [doi]

Half-plane approximation with radial functionsMartin D. Buhmann. cma, 51(8):1171-1184, 2006. [doi]

2003

Cubic Spline Prewavelets on the Four-Directional MeshMartin D. Buhmann, Oleg Davydov, Tim N. T. Goodman. focm, 3(2):113-133, 2003. [doi]

2001

A new class of radial basis functions with compact supportMartin D. Buhmann. moc, 70(233):307-318, 2001.

Box Spline Prewavelets of Small SupportMartin D. Buhmann, Oleg Davydov, Tim N. T. Goodman. jat, 112(1):16-27, 2001. [doi]

1997

Approximation theory and optimization - tributes to M. J. D. PowellMartin D. Buhmann, Arieh Iserles. Cambridge University Press, 1997.

1994

Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A ReviewMartin D. Buhmann. ima-ms 1996: 309-324

1991

Error Estimates for Multiquadric InterpolationMartin D. Buhmann, Nira Dyn. In Pierre-Jean Laurent, Alain Le Méhauté, Larry L. Schumaker, editors, Curves and Surfaces. pages 51-58, Academic Press, 1991. [doi]

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