ERef Bayreuth
Institutions of the University of Bayreuth
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 | One level up ... |
- University of Bayreuth (55812)
- Faculties (52344)
- Faculty of Mathematics, Physics und Computer Science (8351)
- Department of Mathematics (3400)
- Chair Mathematics III (Applied and Numerical Analysis) (97)
- Chair Mathematics III (Applied and Numerical Analysis) - Univ.-Prof. Dr. Holger Wendland (87)
- Chair Mathematics III (Applied and Numerical Analysis) (97)
- Department of Mathematics (3400)
- Faculty of Mathematics, Physics und Computer Science (8351)
- Faculties (52344)
Number of items at this level: 87.
Book / Monograph
Wendland, Holger:
Numerical Linear Algebra : An Introduction.
Cambridge : Cambridge University Press , 2017 . - X, 408 p.
DOI: https://doi.org/10.1017/9781316544938
Numerical Linear Algebra : An Introduction.
Cambridge : Cambridge University Press , 2017 . - X, 408 p.
DOI: https://doi.org/10.1017/9781316544938
Wendland, Holger:
Scattered Data Approximation.
Cambridge : Cambridge University Press , 2010 . - X, 336 p. - (Cambridge Monographs on Applied and Computational Mathematics ; 17 )
Scattered Data Approximation.
Cambridge : Cambridge University Press , 2010 . - X, 336 p. - (Cambridge Monographs on Applied and Computational Mathematics ; 17 )
Schaback, Robert ; Wendland, Holger:
Numerische Mathematik.
Berlin : Springer , 2005
DOI: https://doi.org/10.1007/b137970
Numerische Mathematik.
Berlin : Springer , 2005
DOI: https://doi.org/10.1007/b137970
Wendland, Holger:
Scattered data approximation.
Cambridge : Cambridge University Press , 2005 . - X, 336 p. - (Cambridge Monographs on Applied and Computational Mathematics ; 17 )
Scattered data approximation.
Cambridge : Cambridge University Press , 2005 . - X, 336 p. - (Cambridge Monographs on Applied and Computational Mathematics ; 17 )
| Review: |
Article in a journal
Giesl, Peter ; Wendland, Holger:
Construction of a contraction metric by meshless collocation.
In: Discrete and Continuous Dynamical Systems. Series B. Vol. 24 (2019) Issue 8 . - pp. 3843-3863.
DOI: https://doi.org/10.3934/dcdsb.2018333
Construction of a contraction metric by meshless collocation.
In: Discrete and Continuous Dynamical Systems. Series B. Vol. 24 (2019) Issue 8 . - pp. 3843-3863.
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. Vol. 142 (2019) . - pp. 383-419.
DOI: https://doi.org/10.1007/s00211-018-01021-7
A high-order meshless Galerkin method for semilinear parabolic equations on spheres.
In: Numerische Mathematik. Vol. 142 (2019) . - pp. 383-419.
DOI: https://doi.org/10.1007/s00211-018-01021-7
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. Vol. 50 (2018) Issue 5 . - pp. 4752-4784.
DOI: https://doi.org/10.1137/17M1157696
Convergence of the smoothed particle hydrodynamics method for a specific barotropic fluid flow : Constructive kernel theory.
In: SIAM Journal on Mathematical Analysis. Vol. 50 (2018) Issue 5 . - pp. 4752-4784.
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. Vol. 87 (2018) . - pp. 1757-1781.
DOI: https://doi.org/10.1090/mcom/3265
A kernel-based discretisation method for first order partial differential equations.
In: Mathematics of Computation. Vol. 87 (2018) . - pp. 1757-1781.
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. Vol. 56 (2018) Issue 6 . - pp. 3386-3406.
DOI: https://doi.org/10.1137/16M1092842
Kernel-based discretization for solving matrix-valued PDEs.
In: SIAM Journal on Numerical Analysis. Vol. 56 (2018) Issue 6 . - pp. 3386-3406.
DOI: https://doi.org/10.1137/16M1092842
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
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
| Review: |
Farrell, Patricio ; Gillow, Kathryn ; Wendland, Holger:
Multilevel Interpolation of Divergence-Free Vector Fields.
In: IMA Journal of Numerical Analysis. Vol. 37 (2017) Issue 1 . - pp. 332-353.
DOI: https://doi.org/10.1093/imanum/drw006
Multilevel Interpolation of Divergence-Free Vector Fields.
In: IMA Journal of Numerical Analysis. Vol. 37 (2017) Issue 1 . - pp. 332-353.
DOI: https://doi.org/10.1093/imanum/drw006
Le Gia, Q. T. ; Sloan, Ian H. ; Wendland, Holger:
Zooming from Global to Local : A Multiscale RBF Approach.
In: Advances in Computational Mathematics. Vol. 43 (2017) . - pp. 581-606.
DOI: https://doi.org/10.1007/s10444-016-9498-4
Zooming from Global to Local : A Multiscale RBF Approach.
In: Advances in Computational Mathematics. Vol. 43 (2017) . - pp. 581-606.
DOI: https://doi.org/10.1007/s10444-016-9498-4
Keim, Christopher ; Wendland, Holger:
A High-order, analytically divergence-free approximation method for the time-dependent Stokes problem.
In: SIAM Journal on Numerical Analysis. Vol. 54 (2016) Issue 2 . - pp. 1288-1312.
DOI: https://doi.org/10.1137/151006196
A High-order, analytically divergence-free approximation method for the time-dependent Stokes problem.
In: SIAM Journal on Numerical Analysis. Vol. 54 (2016) Issue 2 . - pp. 1288-1312.
DOI: https://doi.org/10.1137/151006196
Le Gia, Q. T. ; Wendland, Holger:
Data compression on the sphere using multiscale radial basis function approximation.
In: Advances in Computational Mathematics. Vol. 40 (2014) . - pp. 923-943.
DOI: https://doi.org/10.1007/s10444-013-9334-z
Data compression on the sphere using multiscale radial basis function approximation.
In: Advances in Computational Mathematics. Vol. 40 (2014) . - pp. 923-943.
DOI: https://doi.org/10.1007/s10444-013-9334-z
Wendland, Holger:
A high-order approximation method for semilinear parabolic equations on spheres.
In: Mathematics of Computation. Vol. 82 (2013) . - pp. 227-245.
DOI: https://doi.org/10.1090/S0025-5718-2012-02623-8
A high-order approximation method for semilinear parabolic equations on spheres.
In: Mathematics of Computation. Vol. 82 (2013) . - pp. 227-245.
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. Vol. 33 (2013) Issue 3 . - pp. 1095-1114.
DOI: https://doi.org/10.1093/imanum/drs036
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
| Review: |
Farrell, Patricio ; Wendland, Holger:
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems.
In: SIAM Journal on Numerical Analysis. Vol. 51 (2013) Issue 4 . - pp. 2403-2425.
DOI: https://doi.org/10.1137/120898383
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems.
In: SIAM Journal on Numerical Analysis. Vol. 51 (2013) Issue 4 . - pp. 2403-2425.
DOI: https://doi.org/10.1137/120898383
Wendland, Holger ; Giesl, Peter:
Numerical determination of the basin of attraction of asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 75 (March 2012) Issue 5 . - pp. 2823-2840.
DOI: https://doi.org/10.1016/j.na.2011.11.027
Numerical determination of the basin of attraction of asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 75 (March 2012) Issue 5 . - pp. 2823-2840.
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. Vol. 50 (2012) Issue 2 . - pp. 838-857.
DOI: https://doi.org/10.1137/100806461
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
| Review: |
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. Vol. 32 (2012) Issue 3 . - pp. 401-412.
DOI: https://doi.org/10.1016/j.acha.2011.07.007
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 (2012) Issue 3 . - pp. 401-412.
DOI: https://doi.org/10.1016/j.acha.2011.07.007
| Review: |
Le Gia, Q. T. ; Sloan, Ian H. ; Wendland, Holger:
Multiscale RBF collocation for solving PDEs on spheres.
In: Numerische Mathematik. Vol. 121 (2012) Issue 1 . - pp. 99-125.
DOI: https://doi.org/10.1007/s00211-011-0428-6
Multiscale RBF collocation for solving PDEs on spheres.
In: Numerische Mathematik. Vol. 121 (2012) Issue 1 . - pp. 99-125.
DOI: https://doi.org/10.1007/s00211-011-0428-6
| Review: |
Wendland, Holger ; Giesl, Peter:
Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 74 (July 2011) Issue 10 . - pp. 3191-3202.
DOI: https://doi.org/10.1016/j.na.2011.01.032
Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 74 (July 2011) Issue 10 . - pp. 3191-3202.
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. Vol. 80 (January 2011) Issue 273 . - pp. 263-277.
DOI: https://doi.org/10.1090/S0025-5718-2010-02388-9
A high-order, analytically divergence-free discretization method for Darcy's problem.
In: Mathematics of Computation. Vol. 80 (January 2011) Issue 273 . - pp. 263-277.
DOI: https://doi.org/10.1090/S0025-5718-2010-02388-9
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
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
| Review: |
Wendland, Holger ; Le Gia, Quoc T. ; Sloan, Ian H.:
Multiscale analysis in Sobolev spaces on the sphere.
In: SIAM Journal on Numerical Analysis. Vol. 48 (2010) Issue 6 . - pp. 2065-2090.
DOI: https://doi.org/10.1137/090774550
Multiscale analysis in Sobolev spaces on the sphere.
In: SIAM Journal on Numerical Analysis. Vol. 48 (2010) Issue 6 . - pp. 2065-2090.
DOI: https://doi.org/10.1137/090774550
Giesl, Peter ; Wendland, Holger:
Approximating the basin of attraction of time-periodic ODEs by meshless collocation.
In: Discrete and Continuous Dynamical Systems. Series A. Vol. 25 (December 2009) Issue 4 . - pp. 1249-1274.
DOI: https://doi.org/10.3934/dcds.2009.25.1249
Approximating the basin of attraction of time-periodic ODEs by meshless collocation.
In: Discrete and Continuous Dynamical Systems. Series A. Vol. 25 (December 2009) Issue 4 . - pp. 1249-1274.
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: Discrete and Continuous Dynamical Systems. Series A. (September 2009) Issue Supplement . - pp. 259-268.
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: |
Wendland, Holger:
Divergence-free kernel methods for approximating the Stokes problem.
In: SIAM Journal on Numerical Analysis. Vol. 47 (2009) Issue 4 . - pp. 3158-3179.
DOI: https://doi.org/10.1137/080730299
Divergence-free kernel methods for approximating the Stokes problem.
In: SIAM Journal on Numerical Analysis. Vol. 47 (2009) Issue 4 . - pp. 3158-3179.
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. Vol. 78 (2009) Issue 267 . - pp. 1319-1331.
DOI: https://doi.org/10.1090/S0025-5718-09-02207-8
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
| Review: |
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. Vol. 17 (2009) Issue 9 . - pp. 845-869.
DOI: https://doi.org/10.1515/JIIP.2009.050
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization.
In: Journal of Inverse and ILL-Posed Problems. Vol. 17 (2009) Issue 9 . - pp. 845-869.
DOI: https://doi.org/10.1515/JIIP.2009.050
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
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
| Review: |
Rütten, Markus ; Alrutz, Thomas ; Wendland, Holger:
A Vortex axis and vortex core border grid adaptation algorithm.
In: International Journal for Numerical Methods in Fluids. Vol. 58 (2008) Issue 12 . - pp. 1379-1405.
DOI: https://doi.org/10.1002/fld.1792
A Vortex axis and vortex core border grid adaptation algorithm.
In: International Journal for Numerical Methods in Fluids. Vol. 58 (2008) Issue 12 . - pp. 1379-1405.
DOI: https://doi.org/10.1002/fld.1792
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
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
| Review: |
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
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: |
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
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
| Review: |
Ahrem, Regine ; Beckert, Armin ; Wendland, Holger:
Recovering rotations in aeroelasticity.
In: Journal of Fluids and Structures. Vol. 23 (2007) Issue 6 . - pp. 874-884.
DOI: https://doi.org/10.1016/j.jfluidstructs.2007.02.003
Recovering rotations in aeroelasticity.
In: Journal of Fluids and Structures. Vol. 23 (2007) Issue 6 . - pp. 874-884.
DOI: https://doi.org/10.1016/j.jfluidstructs.2007.02.003
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
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
| Review: |
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. Vol. 143 (2006) Issue 1 . - pp. 124-133.
DOI: https://doi.org/10.1016/j.jat.2006.03.007
Continuous and discrete least-squares approximation by basis functions on spheres.
In: Journal of Approximation Theory. Vol. 143 (2006) Issue 1 . - pp. 124-133.
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. Vol. 15 (2006) . - pp. 543-639.
DOI: https://doi.org/10.1017/S0962492906270016
Kernel techniques : from machine learning to meshless methods.
In: Acta Numerica. Vol. 15 (2006) . - pp. 543-639.
DOI: https://doi.org/10.1017/S0962492906270016
| Review: |
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. Vol. 12 (2006) Issue 2 . - pp. 121-136.
DOI: https://doi.org/10.3970/cmes.2006.012.121
A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems.
In: Computer Modeling in Engineering and Sciences. Vol. 12 (2006) Issue 2 . - pp. 121-136.
DOI: https://doi.org/10.3970/cmes.2006.012.121
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
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
| Review: |
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
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
| Review: |
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
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
| Review: |
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
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
| Review: |
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
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
| Review: |
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
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
| Review: |
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
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:
Local polynomial reproduction and moving least squares approximation.
In: IMA Journal of Numerical Analysis. Vol. 21 (2001) Issue 1 . - pp. 285-300.
DOI: https://doi.org/10.1093/imanum/21.1.285
Local polynomial reproduction and moving least squares approximation.
In: IMA Journal of Numerical Analysis. Vol. 21 (2001) Issue 1 . - pp. 285-300.
DOI: https://doi.org/10.1093/imanum/21.1.285
Schaback, Robert ; Wendland, Holger:
Adaptive greedy techniques for approximate solution of large RBF systems.
In: Numerical Algorithms. Vol. 24 (September 2000) Issue 3 . - pp. 239-254.
DOI: https://doi.org/10.1023/A:1019105612985
Adaptive greedy techniques for approximate solution of large RBF systems.
In: Numerical Algorithms. Vol. 24 (September 2000) Issue 3 . - pp. 239-254.
DOI: https://doi.org/10.1023/A:1019105612985
Wendland, Holger:
Optimal approximation orders in Lp for radial basis functions.
In: East Journal on Approximations. Vol. 6 (2000) Issue 1 . - pp. 87-102.
Optimal approximation orders in Lp for radial basis functions.
In: East Journal on Approximations. Vol. 6 (2000) Issue 1 . - pp. 87-102.
Wendland, Holger:
Meshless Galerkin methods using radial basis functions.
In: Mathematics of Computation. Vol. 68 (1999) Issue 228 . - pp. 1521-1531.
DOI: https://doi.org/10.1090/S0025-5718-99-01102-3
Meshless Galerkin methods using radial basis functions.
In: Mathematics of Computation. Vol. 68 (1999) Issue 228 . - pp. 1521-1531.
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. Vol. 101 (1999) Issue 1-2 . - pp. 177-188.
DOI: https://doi.org/10.1016/S0377-0427(98)00218-0
On the smoothness of positive definite and radial functions.
In: Journal of Computational and Applied Mathematics. Vol. 101 (1999) Issue 1-2 . - pp. 177-188.
DOI: https://doi.org/10.1016/S0377-0427(98)00218-0
Wendland, Holger:
Error estimates for interpolation by compactly supported radial basis functions of minimal degree.
In: Journal of Approximation Theory. Vol. 93 (1998) Issue 2 . - pp. 258-272.
DOI: https://doi.org/10.1006/jath.1997.3137
Error estimates for interpolation by compactly supported radial basis functions of minimal degree.
In: Journal of Approximation Theory. Vol. 93 (1998) Issue 2 . - pp. 258-272.
DOI: https://doi.org/10.1006/jath.1997.3137
Wendland, Holger:
Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree.
In: Advances in Computational Mathematics. Vol. 4 (1995) Issue 1 . - pp. 389-396.
DOI: https://doi.org/10.1007/BF02123482
Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree.
In: Advances in Computational Mathematics. Vol. 4 (1995) Issue 1 . - pp. 389-396.
DOI: https://doi.org/10.1007/BF02123482
Article in a book
Kempf, Rüdiger ; Wendland, Holger ; Rieger, Christian:
Kernel-based reconstructions for parametric PDEs.
In: Griebel, Michael ; Schweitzer, Marc Alexander (ed.): Meshfree Methods for Partial Differential Equations IX. - Cham : Springer, 2019 . - pp. 53-71
DOI: https://doi.org/10.1007/978-3-030-15119-5_4
Kernel-based reconstructions for parametric PDEs.
In: Griebel, Michael ; Schweitzer, Marc Alexander (ed.): Meshfree Methods for Partial Differential Equations IX. - Cham : Springer, 2019 . - pp. 53-71
DOI: https://doi.org/10.1007/978-3-030-15119-5_4
Giesl, Peter ; Argáez, Carlos ; Hafstein, Sigurdur Freyr ; Wendland, Holger:
Construction of a complete Lyapunov function using quadratic programming.
In: Madani, Kurosh ; Gusikhin, Oleg (ed.): ICINCO 2018 : Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics. Volume 1. - Setúbal : SciTePress, 2018 . - pp. 560-568
Construction of a complete Lyapunov function using quadratic programming.
In: Madani, Kurosh ; Gusikhin, Oleg (ed.): ICINCO 2018 : Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics. Volume 1. - Setúbal : SciTePress, 2018 . - pp. 560-568
Wendland, Holger:
Solving partial differential equations with multiscale radial basis functions.
In: Dick, Josef ; Kuo, Frances Y. ; Wozniakowski, Henryk (ed.): Contemporary Computational Mathematics : A Celebration of the 80th Birthday of Ian Sloan. - Cham : Springer, 2018 . - pp. 1191-1213
DOI: https://doi.org/10.1007/978-3-319-72456-0_55
Solving partial differential equations with multiscale radial basis functions.
In: Dick, Josef ; Kuo, Frances Y. ; Wozniakowski, Henryk (ed.): Contemporary Computational Mathematics : A Celebration of the 80th Birthday of Ian Sloan. - Cham : Springer, 2018 . - pp. 1191-1213
DOI: https://doi.org/10.1007/978-3-319-72456-0_55
Wendland, Holger:
Multiscale radial basis functions.
In: Pesenson, Isaac (ed.): Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis. Volume 1. - Cham : Birkhäuser, 2017 . - pp. 265-299
DOI: https://doi.org/10.1007/978-3-319-55550-8_12
Multiscale radial basis functions.
In: Pesenson, Isaac (ed.): Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis. Volume 1. - Cham : Birkhäuser, 2017 . - pp. 265-299
DOI: https://doi.org/10.1007/978-3-319-55550-8_12
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
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
Wendland, Holger:
Hybrid methods for fluid-structure-interaction problems in Aeroelasticity.
In: Griebel, Michael ; Schweitzer, Marc A. (ed.): Meshfree Methods for Partial Differential Equations IV. - Berlin : Springer, 2008 . - pp. 335-358 . - (Lecture Notes in Computational Science and Engineering ; 65 )
Hybrid methods for fluid-structure-interaction problems in Aeroelasticity.
In: Griebel, Michael ; Schweitzer, Marc A. (ed.): Meshfree Methods for Partial Differential Equations IV. - Berlin : Springer, 2008 . - pp. 335-358 . - (Lecture Notes in Computational Science and Engineering ; 65 )
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
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
| Review: |
Wendland, Holger:
Spatial coupling in Aeroelasticity by meshless kernel-based methods.
In: Wesseling, Peter ; Oñate, Eugenio ; Périaux, Jacques. (ed.): Proceedings ECCOMAS CFD 2006 : European Conference on Computational Fluid Dynamics. - Delft : Univ. of Technology, 2006
Spatial coupling in Aeroelasticity by meshless kernel-based methods.
In: Wesseling, Peter ; Oñate, Eugenio ; Périaux, Jacques. (ed.): Proceedings ECCOMAS CFD 2006 : European Conference on Computational Fluid Dynamics. - Delft : Univ. of Technology, 2006
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 (ed.): Conference Proceedings : Vorträge ; [München, June 28 - July 1, 2005]. - Bonn : DGLR, 2005 . - 1 CDROM . - (DGLR-Bericht ; 2005.04 )
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 )
Wendland, Holger:
Spatial coupling in Aeroelasticity by meshless kernel-based methods.
In: Neamtu, Marian ; Saff, Edward B. (ed.): Advances in Constructive Approximation : Vanderbilt 2003. - Brentwood, USA : Nashboro Press, 2004
Spatial coupling in Aeroelasticity by meshless kernel-based methods.
In: Neamtu, Marian ; Saff, Edward B. (ed.): Advances in Constructive Approximation : Vanderbilt 2003. - Brentwood, USA : Nashboro Press, 2004
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 )
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 )
| Review: |
Wendland, Holger ; Schaback, Robert:
Approximation by positive definite kernels.
In: Buhmann, Martin D. ; Mache, Detlef H. (ed.): Advanced Problems in Constructive Approximation. - Basel : Birkhäuser, 2002 . - pp. 203-221 . - (International Series of Numerical Mathematics ; 142 )
Approximation by positive definite kernels.
In: Buhmann, Martin D. ; Mache, Detlef H. (ed.): Advanced Problems in Constructive Approximation. - Basel : Birkhäuser, 2002 . - pp. 203-221 . - (International Series of Numerical Mathematics ; 142 )
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.
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.
| Review: |
Wendland, Holger ; Schaback, Robert:
Characterization and construction of radial basis functions.
In: Dyn, Nira ; Leviatan, D. ; Levin, D. ; Pinkus, A. (ed.): Multivariate Approximation and Applications. - Cambridge : Cambridge Univ. Press, 2001 . - pp. 1-24
Characterization and construction of radial basis functions.
In: Dyn, Nira ; Leviatan, D. ; Levin, D. ; Pinkus, A. (ed.): Multivariate Approximation and Applications. - Cambridge : Cambridge Univ. Press, 2001 . - pp. 1-24
Wendland, Holger:
Gaussian interpolation revisited.
In: Trends in approximation theory 2000 : Vanderbild University, Nashville. - Nashville : Vanderbilt Univ. Press, Nashville, TN, 2001 . - pp. 417-426
Gaussian interpolation revisited.
In: Trends in approximation theory 2000 : Vanderbild University, Nashville. - Nashville : Vanderbilt Univ. Press, Nashville, TN, 2001 . - pp. 417-426
| Review: |
Wendland, Holger:
Moving least squares approximation on the sphere.
In: Lyche, Tom ; Schumaker, Larry L. (ed.): Mathematical methods for curves and surfaces : Oslo 2000. - Nashville : Vanderbilt Univ. Press, 2001 . - pp. 517-526
Moving least squares approximation on the sphere.
In: Lyche, Tom ; Schumaker, Larry L. (ed.): Mathematical methods for curves and surfaces : Oslo 2000. - Nashville : Vanderbilt Univ. Press, 2001 . - pp. 517-526
Schaback, Robert ; Wendland, Holger:
Numerical techniques based on radial basis functions.
In: Cohen, Albert ; Rabut, Christophe ; Schumaker, Larry L. (ed.): Curve and surface fitting : Saint-Malo 99. - Nashville : Vanderbilt Univ. Press, 2000 . - pp. 359-374
Numerical techniques based on radial basis functions.
In: Cohen, Albert ; Rabut, Christophe ; Schumaker, Larry L. (ed.): Curve and surface fitting : Saint-Malo 99. - Nashville : Vanderbilt Univ. Press, 2000 . - pp. 359-374
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. (ed.): Boundary Element Technology XIII : Incorporating Computational Methods and Testing for Engineering Integrity. - Southampton, USA : WIT Press, 1999 . - pp. 311-324 . - (Boundary Elements ; 2 )
Using compactly supported radial basis functions to solve partial differential equations.
In: Chen, C. S. ; Brebbia, C. A. ; Pepper, D. W. (ed.): Boundary Element Technology XIII : Incorporating Computational Methods and Testing for Engineering Integrity. - Southampton, USA : WIT Press, 1999 . - pp. 311-324 . - (Boundary Elements ; 2 )
Wendland, Holger:
Numerical solution of variational problems by radial basis functions.
In: Chui, Charles K. ; Schumaker, Larry L. (ed.): Approximation Theory IX. Volume 2. Computational Aspects. - Nashville, USA : Vanderbilt Univ. Press, 1998 . - pp. 361-368
Numerical solution of variational problems by radial basis functions.
In: Chui, Charles K. ; Schumaker, Larry L. (ed.): Approximation Theory IX. Volume 2. Computational Aspects. - Nashville, USA : Vanderbilt Univ. Press, 1998 . - pp. 361-368
Wendland, Holger:
Sobolev-type error estimates for interpolation by radial basis functions.
In: Le Méhauté, Alan ; Rabut, Christophe ; Schumaker, Larry L. (ed.): Surface Fitting and Multiresolution Methods : Papers from the Third International Conference on Curves and Surfaces. Volume 2. - Nashville, USA : Vanderbilt Univ. Press, 1997 . - pp. 337-344
Sobolev-type error estimates for interpolation by radial basis functions.
In: Le Méhauté, Alan ; Rabut, Christophe ; Schumaker, Larry L. (ed.): Surface Fitting and Multiresolution Methods : Papers from the Third International Conference on Curves and Surfaces. Volume 2. - Nashville, USA : Vanderbilt Univ. Press, 1997 . - pp. 337-344
Preprint, postprint
Wendland, Holger ; de Marchi, S.:
On the Convergence of the Rescaled Localized Radial Basis Function Method.
Bayreuth ; Padova , 2019
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
Solving partial differential equations on (evolving) surfaces.
Bayreuth , 2019
Wendland, Holger ; Rieger, Christian:
Sampling inequalities for anisotropic tensor product grids.
Bayreuth ; Bonn , 2018
Sampling inequalities for anisotropic tensor product grids.
Bayreuth ; Bonn , 2018
Doctoral thesis
Kempf, Rüdiger:
The Tensor Product Multilevel Method for High-dimensional Meshfree Approximation.
Bayreuth , 2023 . - VIII, 205 p.
( Doctoral thesis, 2023 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00007006
The Tensor Product Multilevel Method for High-dimensional Meshfree Approximation.
Bayreuth , 2023 . - VIII, 205 p.
( Doctoral thesis, 2023 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00007006
Franz, Tino:
Convergence of the Smoothed Particle Hydrodynamics Method for Barotropic Flows : Constructive Kernel Theory.
Bayreuth , 2020 . - 146 p.
( Doctoral thesis, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00004969
Convergence of the Smoothed Particle Hydrodynamics Method for Barotropic Flows : Constructive Kernel Theory.
Bayreuth , 2020 . - 146 p.
( Doctoral thesis, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00004969
Künemund, Jens:
Numerische Lösung partieller Differentialgleichungen auf veränderlichen Oberflächen mit kernbasierten Verfahren.
Bayreuth , 2018
( Doctoral thesis, 2018, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
Numerische Lösung partieller Differentialgleichungen auf veränderlichen Oberflächen mit kernbasierten Verfahren.
Bayreuth , 2018
( Doctoral thesis, 2018, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
Keim, Christopher:
Collocation Methods for the Navier-Stokes Equations.
Bayreuth , 2016
( Doctoral thesis, 2016, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
Collocation Methods for the Navier-Stokes Equations.
Bayreuth , 2016
( Doctoral thesis, 2016, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
Master's, Magister, Diploma, or Admission thesis
Hoff, Daniel Peter:
Ein gitterfreies Verfahren zur numerischen Lösung von Problemen der optimalen Steuerung partieller Differentialgleichungen.
Bayreuth , 2019
(Master's, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Ein gitterfreies Verfahren zur numerischen Lösung von Problemen der optimalen Steuerung partieller Differentialgleichungen.
Bayreuth , 2019
(Master's, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Kempf, Rüdiger:
Kernel-based reconstructions for parametric partial differential equations.
Bayreuth , 2017
(Master's, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Kernel-based reconstructions for parametric partial differential equations.
Bayreuth , 2017
(Master's, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Bauer, Maximilian:
Konvergenz und Stabilität adaptiver Multilevelverfahren.
Bayreuth , 2016
(Master's, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Konvergenz und Stabilität adaptiver Multilevelverfahren.
Bayreuth , 2016
(Master's, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Franz, Tino:
Konvergenz des Hamiltonian Particle-Mesh Verfahrens.
Bayreuth , 2015
(Master's, 2015, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Konvergenz des Hamiltonian Particle-Mesh Verfahrens.
Bayreuth , 2015
(Master's, 2015, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Bachelor thesis
Fischer, Daniel Christoph:
Über kernbasierte Lernverfahren und neuronale Netze.
Bayreuth , 2019
( Bachelor thesis, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Über kernbasierte Lernverfahren und neuronale Netze.
Bayreuth , 2019
( Bachelor thesis, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Hoff, Daniel Peter:
Approximative Berechnung der Helmholtz-Hodge-Zerlegung mittels radialer Basisfunktionen.
Bayreuth , 2016
( Bachelor thesis, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
Approximative Berechnung der Helmholtz-Hodge-Zerlegung mittels radialer Basisfunktionen.
Bayreuth , 2016
( Bachelor thesis, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)
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