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ORCIDHolger Wendland
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2020 – today
- 2024
[j37]Christian Rieger, Holger Wendland
:
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. SIAM J. Numer. Anal. 62(2): 842-871 (2024)- [i3]Sara Avesani, Rüdiger Kempf, Michael D. Multerer, Holger Wendland:
Multiscale scattered data analysis in samplet coordinates. CoRR abs/2409.14791 (2024) - [i2]Christian Rieger, Holger Wendland:
Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. CoRR abs/2411.18128 (2024) - 2023
- [j36]Rüdiger Kempf, Holger Wendland:
High-dimensional approximation with kernel-based multilevel methods on sparse grids. Numerische Mathematik 154(3-4): 485-519 (2023) - [j35]Nir Sharon, Rafael Sherbu Cohen, Holger Wendland:
On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions. SIAM J. Sci. Comput. 45(5): 2458- (2023) - 2022
- [i1]Nir Sharon, Rafael Sherbu Cohen, Holger Wendland:
On multiscale quasi-interpolation of scattered scalar- and manifold-valued functions. CoRR abs/2210.14333 (2022) - 2021
- [j34]Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland:
Minimization with differential inequality constraints applied to complete Lyapunov functions. Math. Comput. 90(331): 2137-2160 (2021) - [j33]Tino Franz, Holger Wendland:
An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method. SIAM J. Math. Anal. 53(2): 1239-1262 (2021) - [j32]Daniel Hoff, Holger Wendland:
A Meshfree Method for a PDE-Constrained Optimization Problem. SIAM J. Numer. Anal. 59(4): 1896-1917 (2021) - 2020
- [j31]Holger Wendland, Jens Künemund:
Solving partial differential equations on (evolving) surfaces with radial basis functions. Adv. Comput. Math. 46(4): 64 (2020) - [j30]Stefano De Marchi, Holger Wendland:
On the convergence of the rescaled localized radial basis function method. Appl. Math. Lett. 99 (2020)
2010 – 2019
- 2019
- [j29]Jens Künemund, Francis J. Narcowich, Joseph D. Ward, Holger Wendland:
A high-order meshless Galerkin method for semilinear parabolic equations on spheres. Numerische Mathematik 142(2): 383-419 (2019) - 2018
- [j28]Tobias Ramming, Holger Wendland:
A kernel-based discretisation method for first order partial differential equations. Math. Comput. 87(312): 1757-1781 (2018) - [j27]Tino Franz, Holger Wendland:
Convergence of the Smoothed Particle Hydrodynamics Method for a Specific Barotropic Fluid Flow: Constructive Kernel Theory. SIAM J. Math. Anal. 50(5): 4752-4784 (2018) - [j26]Peter Giesl, Holger Wendland:
Kernel-Based Discretization for Solving Matrix-Valued PDEs. SIAM J. Numer. Anal. 56(6): 3386-3406 (2018) - [c1]Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland:
Construction of a Complete Lyapunov Function using Quadratic Programming. ICINCO (1) 2018: 570-578 - 2017
- [j25]Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Zooming from global to local: a multiscale RBF approach. Adv. Comput. Math. 43(3): 581-606 (2017) - [j24]Christian Rieger, Holger Wendland:
Sampling inequalities for sparse grids. Numerische Mathematik 136(2): 439-466 (2017) - 2016
- [j23]Christopher Keim, Holger Wendland:
A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem. SIAM J. Numer. Anal. 54(2): 1288-1312 (2016) - 2014
- [j22]Quoc Thong Le Gia, Holger Wendland:
Data compression on the sphere using multiscale radial basis function approximation. Adv. Comput. Math. 40(4): 923-943 (2014) - 2013
- [j21]Holger Wendland:
A high-order approximation method for semilinear parabolic equations on spheres. Math. Comput. 82(281): 227-245 (2013) - [j20]Patricio Farrell, Holger Wendland:
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems. SIAM J. Numer. Anal. 51(4): 2403-2425 (2013) - 2012
- [j19]Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Multiscale RBF collocation for solving PDEs on spheres. Numerische Mathematik 121(1): 99-125 (2012) - [j18]Daniela Schräder, Holger Wendland:
An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem. SIAM J. Numer. Anal. 50(2): 838-857 (2012) - 2011
- [j17]Daniela Schräder, Holger Wendland:
A high-order, analytically divergence-free discretization method for Darcy's problem. Math. Comput. 80(273): 263-277 (2011) - 2010
- [j16]Holger Wendland:
Multiscale analysis in Sobolev spaces on bounded domains. Numerische Mathematik 116(3): 493-517 (2010) - [j15]Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Multiscale Analysis in Sobolev Spaces on the Sphere. SIAM J. Numer. Anal. 48(6): 2065-2090 (2010)
2000 – 2009
- 2009
- [j14]Ian H. Sloan, Holger Wendland:
Inf-sup condition for spherical polynomials and radial basis functions on spheres. Math. Comput. 78(267): 1319-1331 (2009) - [j13]Holger Wendland:
Divergence-Free Kernel Methods for Approximating the Stokes Problem. SIAM J. Numer. Anal. 47(4): 3158-3179 (2009) - 2008
- [j12]Nira Dyn, Armin Iske, Holger Wendland:
Meshfree Thinning of 3D Point Clouds. Found. Comput. Math. 8(4): 409-425 (2008) - 2007
- [j11]Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Holger Wendland:
Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions. Found. Comput. Math. 7(3): 369-390 (2007) - [j10]Peter Giesl, Holger Wendland:
Meshless Collocation: Error Estimates with Application to Dynamical Systems. SIAM J. Numer. Anal. 45(4): 1723-1741 (2007) - 2006
- [j9]Quoc Thong Le Gia, Francis J. Narcowich, Joseph D. Ward, Holger Wendland:
Continuous and discrete least-squares approximation by radial basis functions on spheres. J. Approx. Theory 143(1): 124-133 (2006) - 2005
- [b1]Robert Schaback, Holger Wendland:
Numerische Mathematik, 5. Auflage. Springer-Lehrbuch, Springer 2005, ISBN 978-3-540-21394-9, pp. I-XII, 1-324 - [j8]Stefano De Marchi, Robert Schaback, Holger Wendland:
Near-optimal data-independent point locations for radial basis function interpolation. Adv. Comput. Math. 23(3): 317-330 (2005) - [j7]Francis J. Narcowich, Joseph D. Ward, Holger Wendland:
Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Math. Comput. 74(250): 743-763 (2005) - [j6]Holger Wendland, Christian Rieger:
Approximate Interpolation with Applications to Selecting Smoothing Parameters. Numerische Mathematik 101(4): 729-748 (2005) - [j5]Holger Wendland:
On the Convergence of a General Class of Finite Volume Methods. SIAM J. Numer. Anal. 43(3): 987-1002 (2005) - 2002
- [j4]Robert Schaback, Holger Wendland:
Inverse and saturation theorems for radial basis function interpolation. Math. Comput. 71(238): 669-681 (2002) - 2000
- [j3]Robert Schaback, Holger Wendland:
Adaptive greedy techniques for approximate solution of large RBF systems. Numer. Algorithms 24(3): 239-254 (2000)
1990 – 1999
- 1999
- [j2]Holger Wendland:
Meshless Galerkin methods using radial basis functions. Math. Comput. 68(228): 1521-1531 (1999) - 1995
- [j1]Holger Wendland:
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. 4(1): 389-396 (1995)
Coauthor Index
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