Book/Monograph

Wendland, Holger
Scattered data approximation
Cambridge : Cambridge University Press, 2005 . - (Cambridge Monographs on Applied and Computational Mathematics; 17)

rev.: AMS MatSciNet

Article in a journal (peer-reviewed)

Rieger, Christian; Wendland, Holger
Sampling inequalities for sparse grids
in Numerische Mathematik vol. 136 (2017) issue 2. - pp. 439-466
doi:10.1007/s00211-016-0845-7 ...
rev.: AMS MatSciNet

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:10.1093/imanum/drs036 ...
rev.: AMS MatSciNet

Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis ...
in Applied and Computational Harmonic Analysis vol. 32 (2012) issue 3. - pp. 401-412
doi:10.1016/j.acha.2011.07.007 ...
rev.: AMS MatSciNet

Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
Multiscale RBF collocation for solving PDEs on spheres
in Numerische Mathematik vol. 121 (2012) issue 1. - pp. 99-125
doi:10.1007/s00211-011-0428-6 ...
rev.: AMS MatSciNet

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:10.1137/100806461 ...
rev.: AMS MatSciNet

Wendland, Holger
Multiscale analysis of Sobolev spaces on bounded domains
in Numerische Mathematik vol. 116 (2010) issue 3. - pp. 493-517
doi:10.1007/s00211-010-0313-8 ...
rev.: AMS MatSciNet

Giesl, Peter; Wendland, Holger
Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a C ...
in Discrete and Continuous Dynamical Systems A (2009) issue Supplement. - pp. 259-268
https://aimsciences.org/journals/pdfs.jsp?paperID= ...
rev.: AMS MatSciNet

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:10.1090/S0025-5718-09-02207-8 ...
rev.: AMS MatSciNet

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:10.1007/s10208-007-9008-7 ...
rev.: AMS MatSciNet

Narcowich, Francis J.; Sun, Xingping; Ward, Joseph D.; Wendland, Holger
Direct and inverse Sobolev error estimates for scattered data interpolation via spherical ...
in Foundations of Computational Mathematics vol. 7 (2007) issue 3. - pp. 369-390
doi:10.1007/s10208-005-0197-7 ...
rev.: AMS MatSciNet

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:10.1137/060658813 ...
rev.: AMS MatSciNet

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:10.1007/s10543-007-0121-4 ...
rev.: AMS MatSciNet

Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Sobolev error estimates and a Bernstein inequality for scattered data interpolation via ra ...
in Constructive Approximation vol. 24 (2006) issue 2. - pp. 175-186
doi:10.1007/s00365-005-0624-7 ...
rev.: AMS MatSciNet

Schaback, Robert; Wendland, Holger
Kernel techniques : from machine learning to meshless methods
in Acta Numerica vol. 15 (2006) . - pp. 543-639
doi:10.1017/S0962492906270016 ...
rev.: AMS MatSciNet

Wendland, Holger; Rieger, Christian
Approximate interpolation with applications to selecting smoothing parameters
in Numer. Math. vol. 101 (2005) issue 4. - pp. 729-748
doi:10.1007/s00211-005-0637-y ...
rev.: AMS MatSciNet

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 (2005) issue 3. - pp. 317-330
doi:10.1007/s10444-004-1829-1 ...
rev.: AMS MatSciNet

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:10.1137/040612993 ...
rev.: AMS MatSciNet

Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Sobolev bounds on functions with scattered zeros, with applications to radial basis functi ...
in Mathematics of Computation vol. 74 (2005) . - pp. 743-763
doi:10.1090/S0025-5718-04-01708-9 ...
rev.: AMS MatSciNet

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:10.1007/s00365-002-0529-7 ...
rev.: AMS MatSciNet

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:10.1090/S0025-5718-01-01383-7 ...
rev.: AMS MatSciNet

Beckert, Armin; Wendland, Holger
Multivariate interpolation for fluid-structure-interaction problems using radial basis fun ...
in Aerospace Science and Technology vol. 5 (2001) issue 2. - pp. 125-134
doi:10.1016/S1270-9638(00)01087-7 ...

Article in a book (peer-reviewed)

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 . - (Studies in computational mathematics; 12)
doi:10.1016/S1570-579X(06)80010-8 ...
rev.: AMS MatSciNet

Ahrem, R.; Beckert, Armin; Wendland, Holger
A new multivariate interpolation method for large-scale spatial coupling problems in aeroe ...
In: DLRG ; International Forum on Aeroelasticity and Structural Dynamics, IFASD (ed.): Conference Proceedings : Vorträge ; [München, June 28 - July 1, 2005] - Bonn: DGLR, 2005 (DGLR-Bericht; 2005.04)

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 Numericl Mathematics; 145)
rev.: AMS MatSciNet

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
rev.: AMS MatSciNet

Wendland, Holger
Gaussian interpolation revisited
Trends in approximation theory 2000 : Vanderbild University, Nashville 2000 - Nashville: Vanderbilt Univ. Press, Nashville, TN, 2001. - pp. 417-426 . - (Innov. Appl. Math.)
rev.: AMS MatSciNet

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