Anzahl der Einträge: 85.
2023
Kempf, Rüdiger ; Wendland, Holger:
High-dimensional approximation with kernel-based multilevel methods on sparse grids.
In: Numerische Mathematik.
Bd. 154
(2023)
Heft 3
.
- S. 485-519.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-023-01363-x
Franz, Tino ; Wendland, Holger:
Multilevel quasi-interpolation.
In: IMA Journal of Numerical Analysis.
Bd. 43
(2023)
.
- S. 2934-2964.
ISSN 1464-3642
DOI: https://doi.org/10.1093/imanum/drac059
Sharon, Nir ; Cohen, Rafael Sherbu ; Wendland, Holger:
On multiscale quasi-interpolation of scattered scalar- and manifold-valued functions.
In: SIAM Journal on Scientific Computing.
Bd. 45
(2023)
Heft 5
.
- S. A2458 - A2482.
ISSN 1095-7197
DOI: https://doi.org/10.1137/22M1528306
2021
Franz, Tino ; Wendland, Holger:
An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method.
In: SIAM Journal on Mathematical Analysis.
Bd. 53
(2021)
.
- S. 1239-1262.
ISSN 1095-7154
DOI: https://doi.org/10.1137/19M1308293
Hoff, Daniel ; Wendland, Holger:
A meshfree method for a PDE-constrained optimization problem.
In: SIAM Journal on Numerical Analysis.
Bd. 59
(2021)
.
- S. 1896-1917.
ISSN 1095-7170
DOI: https://doi.org/10.1137/20M1363510
Giesl, Peter ; Argáez, Carlos ; Hafstein, Sigurdur ; Wendland, Holger:
Minimization with differential inequality constraints applied to complete Lyapunov functions.
In: Mathematics of Computation.
Bd. 90
(2021)
.
- S. 2137-2160.
ISSN 0025-5718
DOI: https://doi.org/10.1090/mcom/3629
2019
Giesl, Peter ; Wendland, Holger:
Construction of a contraction metric by meshless collocation.
In: Discrete and Continuous Dynamical Systems. Series B.
Bd. 24
(2019)
Heft 8
.
- S. 3843-3863.
ISSN 1531-3492
DOI: https://doi.org/10.3934/dcdsb.2018333
Künemund, Jens ; Narcowich, Francis J. ; Ward, Joseph D. ; Wendland, Holger:
A high-order meshless Galerkin method for semilinear parabolic equations on spheres.
In: Numerische Mathematik.
Bd. 142
(2019)
.
- S. 383-419.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-018-01021-7
Kempf, Rüdiger ; Wendland, Holger ; Rieger, Christian:
Kernel-based reconstructions for parametric PDEs.
In: Griebel, Michael ; Schweitzer, Marc Alexander
(Hrsg.):
Meshfree Methods for Partial Differential Equations IX. -
Cham
: Springer
,
2019
. - S. 53-71
ISBN 978-3-030-15119-5
DOI: https://doi.org/10.1007/978-3-030-15119-5_4
Wendland, Holger ; de Marchi, S.:
On the Convergence of the Rescaled Localized Radial Basis Function Method.
Bayreuth ; Padova
,
2019
Wendland, Holger ; Künemund, Jens:
Solving partial differential equations on (evolving) surfaces.
Bayreuth
,
2019
2018
Giesl, Peter ; Argáez, Carlos ; Hafstein, Sigurdur Freyr ; Wendland, Holger:
Construction of a complete Lyapunov function using quadratic programming.
In: Madani, Kurosh ; Gusikhin, Oleg
(Hrsg.):
ICINCO 2018 : Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics. Volume 1. -
Setúbal
: SciTePress
,
2018
. - S. 560-568
ISBN 978-989-758-321-6
Franz, Tino ; Wendland, Holger:
Convergence of the smoothed particle hydrodynamics method for a specific barotropic fluid flow : Constructive kernel theory.
In: SIAM Journal on Mathematical Analysis.
Bd. 50
(2018)
Heft 5
.
- S. 4752-4784.
ISSN 1095-7154
DOI: https://doi.org/10.1137/17M1157696
Ramming, Tobias ; Wendland, Holger:
A kernel-based discretisation method for first order partial differential equations.
In: Mathematics of Computation.
Bd. 87
(2018)
.
- S. 1757-1781.
ISSN 0025-5718
DOI: https://doi.org/10.1090/mcom/3265
Giesl, Peter ; Wendland, Holger:
Kernel-based discretization for solving matrix-valued PDEs.
In: SIAM Journal on Numerical Analysis.
Bd. 56
(2018)
Heft 6
.
- S. 3386-3406.
ISSN 1095-7170
DOI: https://doi.org/10.1137/16M1092842
Wendland, Holger ; Rieger, Christian:
Sampling inequalities for anisotropic tensor product grids.
Bayreuth ; Bonn
,
2018
Wendland, Holger:
Solving partial differential equations with multiscale radial basis functions.
In: Dick, Josef ; Kuo, Frances Y. ; Wozniakowski, Henryk
(Hrsg.):
Contemporary Computational Mathematics : A Celebration of the 80th Birthday of Ian Sloan. -
Cham
: Springer
,
2018
. - S. 1191-1213
ISBN 978-3-319-72456-0
DOI: https://doi.org/10.1007/978-3-319-72456-0_55
2017
Rieger, Christian ; Wendland, Holger:
Sampling inequalities for sparse grids.
In: Numerische Mathematik.
Bd. 136
(Juni 2017)
Heft 2
.
- S. 439-466.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-016-0845-7
Farrell, Patricio ; Gillow, Kathryn ; Wendland, Holger:
Multilevel Interpolation of Divergence-Free Vector Fields.
In: IMA Journal of Numerical Analysis.
Bd. 37
(2017)
Heft 1
.
- S. 332-353.
ISSN 1464-3642
DOI: https://doi.org/10.1093/imanum/drw006
Wendland, Holger:
Multiscale radial basis functions.
In: Pesenson, Isaac
(Hrsg.):
Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis. Volume 1. -
Cham
: Birkhäuser
,
2017
. - S. 265-299
ISBN 978-3-319-55550-8
DOI: https://doi.org/10.1007/978-3-319-55550-8_12
Wendland, Holger:
Numerical Linear Algebra : An Introduction.
Cambridge
:
Cambridge University Press
,
2017
. -
X, 408 S.
ISBN 978-1-316-54493-8
DOI: https://doi.org/10.1017/9781316544938
Le Gia, Q. T. ; Sloan, Ian H. ; Wendland, Holger:
Zooming from Global to Local : A Multiscale RBF Approach.
In: Advances in Computational Mathematics.
Bd. 43
(2017)
.
- S. 581-606.
ISSN 1572-9044
DOI: https://doi.org/10.1007/s10444-016-9498-4
2016
Keim, Christopher ; Wendland, Holger:
A High-order, analytically divergence-free approximation method for the time-dependent Stokes problem.
In: SIAM Journal on Numerical Analysis.
Bd. 54
(2016)
Heft 2
.
- S. 1288-1312.
ISSN 1095-7170
DOI: https://doi.org/10.1137/151006196
2014
Le Gia, Q. T. ; Wendland, Holger:
Data compression on the sphere using multiscale radial basis function approximation.
In: Advances in Computational Mathematics.
Bd. 40
(2014)
.
- S. 923-943.
ISSN 1572-9044
DOI: https://doi.org/10.1007/s10444-013-9334-z
2013
Wendland, Holger:
A high-order approximation method for semilinear parabolic equations on spheres.
In: Mathematics of Computation.
Bd. 82
(2013)
.
- S. 227-245.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-2012-02623-8
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.
ISSN 1464-3642
DOI: https://doi.org/10.1093/imanum/drs036
Farrell, Patricio ; Wendland, Holger:
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems.
In: SIAM Journal on Numerical Analysis.
Bd. 51
(2013)
Heft 4
.
- S. 2403-2425.
ISSN 1095-7170
DOI: https://doi.org/10.1137/120898383
2012
Wendland, Holger ; Giesl, Peter:
Numerical determination of the basin of attraction of asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications.
Bd. 75
(März 2012)
Heft 5
.
- S. 2823-2840.
ISSN 0362-546X
DOI: https://doi.org/10.1016/j.na.2011.11.027
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.
ISSN 1095-7170
DOI: https://doi.org/10.1137/100806461
Le Gia, Q. T. ; Sloan, Ian 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.
Bd. 32
(2012)
Heft 3
.
- S. 401-412.
ISSN 1096-603X
DOI: https://doi.org/10.1016/j.acha.2011.07.007
Le Gia, Q. T. ; Sloan, Ian H. ; Wendland, Holger:
Multiscale RBF collocation for solving PDEs on spheres.
In: Numerische Mathematik.
Bd. 121
(2012)
Heft 1
.
- S. 99-125.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-011-0428-6
Wendland, Holger ; Rütten, Markus:
Performance Enhancement of Auxiliary Air Intakes by Using Vortex Generators.
In:
50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. -
S.l.
,
2012
DOI: https://doi.org/10.2514/6.2012-57
Giesl, Peter ; Wendland, Holger:
Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications.
Bd. 75
(2012)
Heft 5
.
- S. 2823-2840.
ISSN 0362-546X
DOI: https://doi.org/10.1016/j.na.2011.11.027
2011
Wendland, Holger ; Giesl, Peter:
Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications.
Bd. 74
(Juli 2011)
Heft 10
.
- S. 3191-3202.
ISSN 0362-546X
DOI: https://doi.org/10.1016/j.na.2011.01.032
Schräder, Daniela ; Wendland, Holger:
A high-order, analytically divergence-free discretization method for Darcy's problem.
In: Mathematics of Computation.
Bd. 80
(2011)
.
- S. 263-277.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-2010-02388-9
2010
Wendland, Holger:
Multiscale analysis of Sobolev spaces on bounded domains.
In: Numerische Mathematik.
Bd. 116
(September 2010)
Heft 3
.
- S. 493-517.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-010-0313-8
Wendland, Holger ; Le Gia, Quoc T. ; Sloan, Ian H.:
Multiscale analysis in Sobolev spaces on the sphere.
In: SIAM Journal on Numerical Analysis.
Bd. 48
(2010)
Heft 6
.
- S. 2065-2090.
ISSN 1095-7170
DOI: https://doi.org/10.1137/090774550
Wendland, Holger:
Scattered Data Approximation.
Cambridge
:
Cambridge University Press
,
2010
. -
X, 336 S.
- (Cambridge Monographs on Applied and Computational Mathematics
; 17
)
ISBN 978-0-521-13101-8
2009
Giesl, Peter ; Wendland, Holger:
Approximating the basin of attraction of time-periodic ODEs by meshless collocation.
In: Discrete and Continuous Dynamical Systems.
Bd. 25
(2009)
Heft 4
.
- S. 1249-1274.
ISSN 1553-5231
DOI: https://doi.org/10.3934/dcds.2009.25.1249
Giesl, Peter ; Wendland, Holger:
Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a Cauchy problem.
In: Conference Publications / American Institute of Mathematical Sciences.
(2009)
.
- S. 259-268.
DOI: https://doi.org/10.3934/proc.2009.2009.259
Wendland, Holger:
Divergence-free kernel methods for approximating the Stokes problem.
In: SIAM Journal on Numerical Analysis.
Bd. 47
(2009)
Heft 4
.
- S. 3158-3179.
ISSN 1095-7170
DOI: https://doi.org/10.1137/080730299
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.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-09-02207-8
Wendland, Holger ; Krebs, Jochen ; Louis, Alfred K.:
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization.
In: Journal of Inverse and ILL-Posed Problems.
Bd. 17
(2009)
Heft 9
.
- S. 845-869.
ISSN 1569-3945
DOI: https://doi.org/10.1515/JIIP.2009.050
2008
Wendland, Holger:
Hybrid methods for fluid-structure-interaction problems in Aeroelasticity.
In: Griebel, Michael ; Schweitzer, Marc A.
(Hrsg.):
Meshfree Methods for Partial Differential Equations IV. -
Berlin
: Springer
,
2008
. - S. 335-358
. - (Lecture Notes in Computational Science and Engineering
; 65
)
ISBN 978-3-540-79993-1
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.
ISSN 1615-3383
DOI: https://doi.org/10.1007/s10208-007-9008-7
Rütten, Markus ; Alrutz, Thomas ; Wendland, Holger:
A Vortex axis and vortex core border grid adaptation algorithm.
In: International Journal for Numerical Methods in Fluids.
Bd. 58
(2008)
Heft 12
.
- S. 1379-1405.
ISSN 0271-2091
DOI: https://doi.org/10.1002/fld.1792
2007
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.
Bd. 7
(2007)
Heft 3
.
- S. 369-390.
ISSN 1615-3383
DOI: https://doi.org/10.1007/s10208-005-0197-7
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.
ISSN 1095-7170
DOI: https://doi.org/10.1137/060658813
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.
ISSN 0006-3835
DOI: https://doi.org/10.1007/s10543-007-0121-4
Ahrem, Regine ; Beckert, Armin ; Wendland, Holger:
Recovering rotations in aeroelasticity.
In: Journal of Fluids and Structures.
Bd. 23
(2007)
Heft 6
.
- S. 874-884.
ISSN 0889-9746
DOI: https://doi.org/10.1016/j.jfluidstructs.2007.02.003
2006
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
. - IX, 346 S.
. - (Studies in Computational Mathematics
; 12
)
ISBN 0-444-51844-4
DOI: https://doi.org/10.1016/S1570-579X(06)80010-8
Le Gia, Quoc T. ; Narcowich, Francis J. ; Ward, Joseph D. ; Wendland, Holger:
Continuous and discrete least-squares approximation by basis functions on spheres.
In: Journal of Approximation Theory.
Bd. 143
(2006)
Heft 1
.
- S. 124-133.
ISSN 1096-0430
DOI: https://doi.org/10.1016/j.jat.2006.03.007
Schaback, Robert ; Wendland, Holger:
Kernel techniques : from machine learning to meshless methods.
In: Acta Numerica.
Bd. 15
(2006)
.
- S. 543-639.
ISSN 0962-4929
DOI: https://doi.org/10.1017/S0962492906270016
Ahrem, Regine ; Beckert, Armin ; Wendland, Holger:
A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems.
In: Computer Modeling in Engineering and Sciences.
Bd. 12
(2006)
Heft 2
.
- S. 121-136.
ISSN 1526-1492
DOI: https://doi.org/10.3970/cmes.2006.012.121
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.
Bd. 24
(2006)
.
- S. 175-186.
ISSN 0176-4276
DOI: https://doi.org/10.1007/s00365-005-0624-7
Wendland, Holger:
Spatial coupling in Aeroelasticity by meshless kernel-based methods.
In: Wesseling, Peter ; Oñate, Eugenio ; Périaux, Jacques.
(Hrsg.):
Proceedings ECCOMAS CFD 2006 : European Conference on Computational Fluid Dynamics. -
Delft
: Univ. of Technology
,
2006
ISBN 90-9020970-0
Le Gia, Q. T. ; Narcowich, F. J. ; Ward, J. D. ; Wendland, Holger:
Continuous and discrete least-squares approximation by radial basis functions on spheres.
In: Journal of Approximation Theory.
Bd. 143
(2006)
Heft 1
.
- S. 124-133.
ISSN 1096-0430
DOI: https://doi.org/10.1016/j.jat.2006.03.007
2005
Wendland, Holger ; Rieger, Christian:
Approximate interpolation with applications to selecting smoothing parameters.
In: Numerische Mathematik.
Bd. 101
(Oktober 2005)
Heft 4
.
- S. 729-748.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-005-0637-y
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)
.
- S. 317-330.
ISSN 1572-9044
DOI: https://doi.org/10.1007/s10444-004-1829-1
Ahrem, Regine ; 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
(Hrsg.):
Conference Proceedings : Vorträge ; [München, June 28 - July 1, 2005]. -
Bonn
: DGLR
,
2005
. - 1 CDROM
. - (DGLR-Bericht
; 2005.04
)
ISBN 3-932-182-43-X
Schaback, Robert ; Wendland, Holger:
Numerische Mathematik.
Berlin
:
Springer
,
2005
DOI: https://doi.org/10.1007/b137970
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.
ISSN 1095-7170
DOI: https://doi.org/10.1137/040612993
Wendland, Holger:
Scattered data approximation.
Cambridge
:
Cambridge University Press
,
2005
. -
X, 336 S.
- (Cambridge Monographs on Applied and Computational Mathematics
; 17
)
ISBN 978-0521-84335-5; 0-521-84335-9
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.
Bd. 74
(2005)
.
- S. 743-763.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-04-01708-9
2004
Wendland, Holger:
Spatial coupling in Aeroelasticity by meshless kernel-based methods.
In: Neamtu, Marian ; Saff, Edward B.
(Hrsg.):
Advances in Constructive Approximation : Vanderbilt 2003. -
Brentwood, USA
: Nashboro Press
,
2004
ISBN 0-0-9728482-2-3
2003
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 Numerical Mathematics
; 145
)
ISBN 0-8176-2195-4
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.
ISSN 0176-4276
DOI: https://doi.org/10.1007/s00365-002-0529-7
2002
Wendland, Holger ; Schaback, Robert:
Approximation by positive definite kernels.
In: Buhmann, Martin D. ; Mache, Detlef H.
(Hrsg.):
Advanced Problems in Constructive Approximation. -
Basel
: Birkhäuser
,
2002
. - S. 203-221
. - (International Series of Numerical Mathematics
; 142
)
ISBN 3-7643-6648-6
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
. - 2 Bände; XIV, 402 S. und XV, 483 S.
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.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-01-01383-7
2001
Wendland, Holger ; Schaback, Robert:
Characterization and construction of radial basis functions.
In: Dyn, Nira ; Leviatan, D. ; Levin, D. ; Pinkus, A.
(Hrsg.):
Multivariate Approximation and Applications. -
Cambridge
: Cambridge Univ. Press
,
2001
. - S. 1-24
ISBN 0-521-80023-4
Wendland, Holger:
Gaussian interpolation revisited.
In:
Trends in approximation theory 2000 : Vanderbild University, Nashville. -
Nashville
: Vanderbilt Univ. Press, Nashville, TN
,
2001
. - S. 417-426
ISBN 0826513794
Wendland, Holger:
Local polynomial reproduction and moving least squares approximation.
In: IMA Journal of Numerical Analysis.
Bd. 21
(2001)
Heft 1
.
- S. 285-300.
ISSN 1464-3642
DOI: https://doi.org/10.1093/imanum/21.1.285
Wendland, Holger:
Moving least squares approximation on the sphere.
In: Lyche, Tom ; Schumaker, Larry L.
(Hrsg.):
Mathematical methods for curves and surfaces : Oslo 2000. -
Nashville
: Vanderbilt Univ. Press
,
2001
. - S. 517-526
ISBN 0-8265-1378-6
Beckert, Armin ; Wendland, Holger:
Multivariate interpolation for fluid-structure-interaction problems using radial basis functions.
In: Aerospace Science and Technology.
Bd. 5
(2001)
Heft 2
.
- S. 125-134.
ISSN 1626-3219
DOI: https://doi.org/10.1016/S1270-9638(00)01087-7
2000
Schaback, Robert ; Wendland, Holger:
Adaptive greedy techniques for approximate solution of large RBF systems.
In: Numerical Algorithms.
Bd. 24
(September 2000)
Heft 3
.
- S. 239-254.
ISSN 1572-9265
DOI: https://doi.org/10.1023/A:1019105612985
Schaback, Robert ; Wendland, Holger:
Numerical techniques based on radial basis functions.
In: Cohen, Albert ; Rabut, Christophe ; Schumaker, Larry L.
(Hrsg.):
Curve and surface fitting : Saint-Malo 99. -
Nashville
: Vanderbilt Univ. Press
,
2000
. - S. 359-374
ISBN 0-8265-1357-3
Wendland, Holger:
Optimal approximation orders in Lp for radial basis functions.
In: East Journal on Approximations.
Bd. 6
(2000)
Heft 1
.
- S. 87-102.
ISSN 1310-6236
1999
Wendland, Holger:
Meshless Galerkin methods using radial basis functions.
In: Mathematics of Computation.
Bd. 68
(1999)
Heft 228
.
- S. 1521-1531.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-99-01102-3
Wendland, Holger:
On the smoothness of positive definite and radial functions.
In: Journal of Computational and Applied Mathematics.
Bd. 101
(1999)
Heft 1-2
.
- S. 177-188.
ISSN 0377-0427
DOI: https://doi.org/10.1016/S0377-0427(98)00218-0
Schaback, Robert ; Wendland, Holger:
Using compactly supported radial basis functions to solve partial differential equations.
In: Chen, C. S. ; Brebbia, C. A. ; Pepper, D. W.
(Hrsg.):
Boundary Element Technology XIII : Incorporating Computational Methods and Testing for Engineering Integrity. -
Southampton, USA
: WIT Press
,
1999
. - S. 311-324
. - (Boundary Elements
; 2
)
(WIT Transactions on Modelling and Simulation ; 23)
ISBN 1-85312-688-8
1998
Wendland, Holger:
Error estimates for interpolation by compactly supported radial basis functions of minimal degree.
In: Journal of Approximation Theory.
Bd. 93
(1998)
Heft 2
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- S. 258-272.
ISSN 1096-0430
DOI: https://doi.org/10.1006/jath.1997.3137
Wendland, Holger:
Numerical solution of variational problems by radial basis functions.
In: Chui, Charles K. ; Schumaker, Larry L.
(Hrsg.):
Approximation Theory IX. Volume 2. Computational Aspects. -
Nashville, USA
: Vanderbilt Univ. Press
,
1998
. - S. 361-368
ISBN 0-8265-1326-3
1997
Wendland, Holger:
Sobolev-type error estimates for interpolation by radial basis functions.
In: Le Méhauté, Alan ; Rabut, Christophe ; Schumaker, Larry L.
(Hrsg.):
Surface Fitting and Multiresolution Methods : Papers from the Third International Conference on Curves and Surfaces. Volume 2. -
Nashville, USA
: Vanderbilt Univ. Press
,
1997
. - S. 337-344
ISBN 0-8265-1294-1
1995
Wendland, Holger:
Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree.
In: Advances in Computational Mathematics.
Bd. 4
(1995)
Heft 1
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- S. 389-396.
ISSN 1572-9044
DOI: https://doi.org/10.1007/BF02123482
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