Buch / Monografie

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

Rez.: AMS MatSciNet

Referierte Beiträge in Zeitschriften (begutachtet)

Rieger, Christian; Wendland, Holger
Sampling inequalities for sparse grids
In: Numerische Mathematik Bd. 136 (2017) Heft 2. - S. 439-466
doi:10.1007/s00211-016-0845-7 ...
Rez.: AMS MatSciNet

Townsend, Alex; Wendland, Holger
Multiscale analysis in Sobolev spaces on bounded domains with zero boundary values
In: IMA Journal of Numerical Analysis Bd. 33 (2013) Heft 3. - S. 1095-1114
doi:10.1093/imanum/drs036 ...
Rez.: 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 Bd. 32 (2012) Heft 3. - S. 401-412
doi:10.1016/j.acha.2011.07.007 ...
Rez.: AMS MatSciNet

Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
Multiscale RBF collocation for solving PDEs on spheres
In: Numerische Mathematik Bd. 121 (2012) Heft 1. - S. 99-125
doi:10.1007/s00211-011-0428-6 ...
Rez.: 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 Bd. 50 (2012) Heft 2. - S. 838-857
doi:10.1137/100806461 ...
Rez.: AMS MatSciNet

Wendland, Holger
Multiscale analysis of Sobolev spaces on bounded domains
In: Numerische Mathematik Bd. 116 (2010) Heft 3. - S. 493-517
doi:10.1007/s00211-010-0313-8 ...
Rez.: 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. Series A (2009) Heft Supplement. - S. 259-268
https://aimsciences.org/journals/pdfs.jsp?paperID= ...
Rez.: AMS MatSciNet

Sloan, Ian H.; Wendland, Holger
Inf-sup condition for spherical polynomials and radial basis functions on spheres
In: Mathematics of Computation Bd. 78 (2009) Heft 267. - S. 1319-1331
doi:10.1090/S0025-5718-09-02207-8 ...
Rez.: AMS MatSciNet

Dyn, Nira; Iske, Armin; Wendland, Holger
Meshfree thinning of 3D point clouds
In: Foundations of Computational Mathematics Bd. 8 (2008) Heft 4. - S. 409-425
doi:10.1007/s10208-007-9008-7 ...
Rez.: 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 Bd. 7 (2007) Heft 3. - S. 369-390
doi:10.1007/s10208-005-0197-7 ...
Rez.: AMS MatSciNet

Giesl, Peter; Wendland, Holger
Meshless collocation : error estimates with application to dynamical systems
In: SIAM Journal Numerical Analysis Bd. 45 (2007) Heft 4. - S. 1723-1741
doi:10.1137/060658813 ...
Rez.: AMS MatSciNet

Wendland, Holger
On the stability of meshless symmetric collocation for boundary value problems
In: BIT Numerical Mathematics Bd. 47 (2007) Heft 2. - S. 455-468
doi:10.1007/s10543-007-0121-4 ...
Rez.: 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 Bd. 24 (2006) Heft 2. - S. 175-186
doi:10.1007/s00365-005-0624-7 ...
Rez.: AMS MatSciNet

Schaback, Robert; Wendland, Holger
Kernel techniques : from machine learning to meshless methods
In: Acta Numerica Bd. 15 (2006) . - S. 543-639
doi:10.1017/S0962492906270016 ...
Rez.: AMS MatSciNet

Wendland, Holger; Rieger, Christian
Approximate interpolation with applications to selecting smoothing parameters
In: Numerische Mathematik Bd. 101 (2005) Heft 4. - S. 729-748
doi:10.1007/s00211-005-0637-y ...
Rez.: 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 Bd. 23 (2005) Heft 3. - S. 317-330
doi:10.1007/s10444-004-1829-1 ...
Rez.: AMS MatSciNet

Wendland, Holger
On the convergence of a general class of finite volume methods
In: SIAM Journal on Numerical Analysis Bd. 43 (2005) Heft 3. - S. 987-1002
doi:10.1137/040612993 ...
Rez.: 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 Bd. 74 (2005) . - S. 743-763
doi:10.1090/S0025-5718-04-01708-9 ...
Rez.: AMS MatSciNet

Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Refined error estimates for radial basis function interpolation
In: Constructive Approximation Bd. 19 (2003) Heft 4. - S. 541-564
doi:10.1007/s00365-002-0529-7 ...
Rez.: AMS MatSciNet

Schaback, Robert; Wendland, Holger
Inverse and saturation theorems for radial basis function interpolation
In: Mathematics of Computation Bd. 71 (2002) Heft 238. - S. 669-681
doi:10.1090/S0025-5718-01-01383-7 ...
Rez.: AMS MatSciNet

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

Beiträge in Sammelbänden (begutachtet)

Wendland, Holger
Computational aspects of radial basis function approximation
In: Jetter, Kurt (Hrsg.): Topics in multivariate approximation and interpolation - Amsterdam: Elsevier, 2006. - S. 231-256 . - (Studies in computational mathematics; 12)
doi:10.1016/S1570-579X(06)80010-8 ...
Rez.: 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 (Hrsg.): 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 (Hrsg.): Modern developments in multivariate approximation : 5th International Conference, Witten-Bommerholz (Germany), September, 2002 - Basel: Birkhäuser, 2003. - S. 295-308 . - (International Series of Numericl Mathematics; 145)
Rez.: AMS MatSciNet

Wendland, Holger
Fast evaluation of radial basis functions : methods based on partition of unity
In: Chui, Charles K. (Hrsg.): 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. - S. 473-483
Rez.: AMS MatSciNet

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

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