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Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics III (Applied and Numerical Analysis) > Chair Mathematics III (Applied and Numerical Analysis) - Univ.-Prof. Dr. Holger Wendland

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Number of items at this level: 27.

2017

Volltext
Rieger, Christian ; Wendland, Holger:
Sampling inequalities for sparse grids.
In: Numerische Mathematik. Vol. 136 (June 2017) Issue 2 . - pp. 439-466.
DOI: https://doi.org/10.1007/s00211-016-0845-7
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2013

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Townsend, Alex ; Wendland, Holger:
Multiscale analysis in Sobolev spaces on bounded domains with zero boundary values.
In: IMA Journal of Numerical Analysis. Vol. 33 (2013) Issue 3 . - pp. 1095-1114.
DOI: https://doi.org/10.1093/imanum/drs036
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2012

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Le Gia, Q. T. ; Sloan, I. H. ; Wendland, Holger:
Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere.
In: Applied and Computational Harmonic Analysis. Vol. 32 (May 2012) Issue 3 . - pp. 401-412.
DOI: https://doi.org/10.1016/j.acha.2011.07.007
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Le Gia, Q. T. ; Sloan, I. H. ; Wendland, Holger:
Multiscale RBF collocation for solving PDEs on spheres.
In: Numerische Mathematik. Vol. 121 (May 2012) Issue 1 . - pp. 99-125.
DOI: https://doi.org/10.1007/s00211-011-0428-6
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Volltext
Schräder, Daniela ; Wendland, Holger:
An extended error analysis for a meshfree discretization method of Darcy's problem.
In: SIAM Journal on Numerical Analysis. Vol. 50 (2012) Issue 2 . - pp. 838-857.
DOI: https://doi.org/10.1137/100806461
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2010

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Wendland, Holger:
Multiscale analysis of Sobolev spaces on bounded domains.
In: Numerische Mathematik. Vol. 116 (September 2010) Issue 3 . - pp. 493-517.
DOI: https://doi.org/10.1007/s00211-010-0313-8
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2009

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Giesl, Peter ; Wendland, Holger:
Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a Cauchy problem.
In: Discrete and Continuous Dynamical Systems. Series A. (September 2009) Issue Supplement . - pp. 259-268.
Review:

Volltext
Sloan, Ian H. ; Wendland, Holger:
Inf-sup condition for spherical polynomials and radial basis functions on spheres.
In: Mathematics of Computation. Vol. 78 (2009) Issue 267 . - pp. 1319-1331.
DOI: https://doi.org/10.1090/S0025-5718-09-02207-8
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2008

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Dyn, Nira ; Iske, Armin ; Wendland, Holger:
Meshfree thinning of 3D point clouds.
In: Foundations of Computational Mathematics. Vol. 8 (2008) Issue 4 . - pp. 409-425.
DOI: https://doi.org/10.1007/s10208-007-9008-7
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2007

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Narcowich, Francis J. ; Sun, Xingping ; Ward, Joseph D. ; Wendland, Holger:
Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions.
In: Foundations of Computational Mathematics. Vol. 7 (2007) Issue 3 . - pp. 369-390.
DOI: https://doi.org/10.1007/s10208-005-0197-7
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Volltext
Giesl, Peter ; Wendland, Holger:
Meshless collocation : error estimates with application to dynamical systems.
In: SIAM Journal Numerical Analysis. Vol. 45 (2007) Issue 4 . - pp. 1723-1741.
DOI: https://doi.org/10.1137/060658813
Review:

Volltext
Wendland, Holger:
On the stability of meshless symmetric collocation for boundary value problems.
In: BIT Numerical Mathematics. Vol. 47 (2007) Issue 2 . - pp. 455-468.
DOI: https://doi.org/10.1007/s10543-007-0121-4
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2006

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Narcowich, Francis J. ; Ward, Joseph D. ; Wendland, Holger:
Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions.
In: Constructive Approximation. Vol. 24 (September 2006) Issue 2 . - pp. 175-186.
DOI: https://doi.org/10.1007/s00365-005-0624-7
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Volltext
Wendland, Holger:
Computational aspects of radial basis function approximation.
In: Jetter, Kurt (ed.): Topics in multivariate approximation and interpolation. - Amsterdam : Elsevier, 2006 . - pp. 231-256 . - IX, 346 S. . - (Studies in computational mathematics ; 12 )
DOI: https://doi.org/10.1016/S1570-579X(06)80010-8
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Volltext
Schaback, Robert ; Wendland, Holger:
Kernel techniques : from machine learning to meshless methods.
In: Acta Numerica. Vol. 15 (2006) . - pp. 543-639.
DOI: https://doi.org/10.1017/S0962492906270016
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2005

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Wendland, Holger ; Rieger, Christian:
Approximate interpolation with applications to selecting smoothing parameters.
In: Numerische Mathematik. Vol. 101 (October 2005) Issue 4 . - pp. 729-748.
DOI: https://doi.org/10.1007/s00211-005-0637-y
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de Marchi, Stefano ; Schaback, Robert ; Wendland, Holger:
Near-optimal data-independent point locations for radial basis function interpolation.
In: Advances in Computational Mathematics. Vol. 23 (October 2005) Issue 3 . - pp. 317-330.
DOI: https://doi.org/10.1007/s10444-004-1829-1
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Ahrem, R. ; Beckert, Armin ; Wendland, Holger:
A new multivariate interpolation method for large-scale spatial coupling problems in aeroelasticity.
In: DLRG; International Forum on Aeroelasticity and Structural Dynamics, IFASD (ed.): Conference Proceedings : Vorträge ; [München, June 28 - July 1, 2005]. - Bonn : DGLR, 2005 . - 1 CDROM . - (DGLR-Bericht ; 2005.04 )

Volltext
Wendland, Holger:
On the convergence of a general class of finite volume methods.
In: SIAM Journal on Numerical Analysis. Vol. 43 (2005) Issue 3 . - pp. 987-1002.
DOI: https://doi.org/10.1137/040612993
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Wendland, Holger:
Scattered data approximation.
Cambridge : Cambridge University Press , 2005 . - X, 336 p. - (Cambridge Monographs on Applied and Computational Mathematics ; 17 )
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Volltext
Narcowich, Francis J. ; Ward, Joseph D. ; Wendland, Holger:
Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting.
In: Mathematics of Computation. Vol. 74 (2005) . - pp. 743-763.
DOI: https://doi.org/10.1090/S0025-5718-04-01708-9
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2003

Wendland, Holger:
Reconstructing multivariate functions from large data sets.
In: Haußmann, Werner (ed.): Modern developments in multivariate approximation : 5th International Conference, Witten-Bommerholz (Germany), September, 2002. - Basel : Birkhäuser, 2003 . - pp. 295-308 . - (International Series of Numerical Mathematics ; 145 )
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Volltext
Narcowich, Francis J. ; Ward, Joseph D. ; Wendland, Holger:
Refined error estimates for radial basis function interpolation.
In: Constructive Approximation. Vol. 19 (2003) Issue 4 . - pp. 541-564.
DOI: https://doi.org/10.1007/s00365-002-0529-7
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2002

Wendland, Holger:
Fast evaluation of radial basis functions : methods based on partition of unity.
In: Chui, Charles K. (ed.): Approximation theory X : [selections of papers that were presented at the Tenth International Conference on Approximation Theory, held in St. Louis, Missouri, in March 2001]. - Nashville, Tn : Vanderbilt Univ. Press, 2002 . - pp. 473-483 . - 2 Bände; XIV, 402 S. und XV, 483 S.
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Volltext
Schaback, Robert ; Wendland, Holger:
Inverse and saturation theorems for radial basis function interpolation.
In: Mathematics of Computation. Vol. 71 (2002) Issue 238 . - pp. 669-681.
DOI: https://doi.org/10.1090/S0025-5718-01-01383-7
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2001

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Beckert, Armin ; Wendland, Holger:
Multivariate interpolation for fluid-structure-interaction problems using radial basis functions.
In: Aerospace Science and Technology. Vol. 5 (February 2001) Issue 2 . - pp. 125-134.
DOI: https://doi.org/10.1016/S1270-9638(00)01087-7

Wendland, Holger:
Gaussian interpolation revisited.
In: Trends in approximation theory 2000 : Vanderbild University, Nashville. - Nashville : Vanderbilt Univ. Press, Nashville, TN, 2001 . - pp. 417-426
Review:

This list was generated on Wed Nov 20 01:23:40 2019 CET.
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