Holger Wendland

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 17

Top Topics

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Adv. Comput. Math.

SIAM J. Math. Anal.

Publications

Christian Rieger, Holger Wendland
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. SIAM J. Numer. Anal. 62 (2) (2024)
Rüdiger Kempf, Holger Wendland
High-dimensional approximation with kernel-based multilevel methods on sparse grids. Numerische Mathematik 154 (3-4) (2023)
Nir Sharon, Rafael Sherbu Cohen, Holger Wendland
On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions. SIAM J. Sci. Comput. 45 (5) (2023)
Nir Sharon, Rafael Sherbu Cohen, Holger Wendland
On multiscale quasi-interpolation of scattered scalar- and manifold-valued functions. CoRR (2022)
Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland
Minimization with differential inequality constraints applied to complete Lyapunov functions. Math. Comput. 90 (331) (2021)
Daniel Hoff, Holger Wendland
A Meshfree Method for a PDE-Constrained Optimization Problem. SIAM J. Numer. Anal. 59 (4) (2021)
Tino Franz, Holger Wendland
An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method. SIAM J. Math. Anal. 53 (2) (2021)
Holger Wendland, Jens Künemund
Solving partial differential equations on (evolving) surfaces with radial basis functions. Adv. Comput. Math. 46 (4) (2020)
Stefano De Marchi, Holger Wendland
On the convergence of the rescaled localized radial basis function method. Appl. Math. Lett. 99 (2020)
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) (2019)
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) (2018)
Tobias Ramming, Holger Wendland
A kernel-based discretisation method for first order partial differential equations. Math. Comput. 87 (312) (2018)
Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland
Construction of a Complete Lyapunov Function using Quadratic Programming. ICINCO (1) (2018)
Peter Giesl, Holger Wendland
Kernel-Based Discretization for Solving Matrix-Valued PDEs. SIAM J. Numer. Anal. 56 (6) (2018)
Christian Rieger, Holger Wendland
Sampling inequalities for sparse grids. Numerische Mathematik 136 (2) (2017)
Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
Zooming from global to local: a multiscale RBF approach. Adv. Comput. Math. 43 (3) (2017)
Christopher Keim, Holger Wendland
A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem. SIAM J. Numer. Anal. 54 (2) (2016)
Quoc Thong Le Gia, Holger Wendland
Data compression on the sphere using multiscale radial basis function approximation. Adv. Comput. Math. 40 (4) (2014)
Holger Wendland
A high-order approximation method for semilinear parabolic equations on spheres. Math. Comput. 82 (281) (2013)
Patricio Farrell, Holger Wendland
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems. SIAM J. Numer. Anal. 51 (4) (2013)
Daniela Schräder, Holger Wendland
An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem. SIAM J. Numer. Anal. 50 (2) (2012)
Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
Multiscale RBF collocation for solving PDEs on spheres. Numerische Mathematik 121 (1) (2012)
Daniela Schräder, Holger Wendland
A high-order, analytically divergence-free discretization method for Darcy's problem. Math. Comput. 80 (273) (2011)
Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
Multiscale Analysis in Sobolev Spaces on the Sphere. SIAM J. Numer. Anal. 48 (6) (2010)
Holger Wendland
Multiscale analysis in Sobolev spaces on bounded domains. Numerische Mathematik 116 (3) (2010)
Holger Wendland
Divergence-Free Kernel Methods for Approximating the Stokes Problem. SIAM J. Numer. Anal. 47 (4) (2009)
Ian H. Sloan, Holger Wendland
Inf-sup condition for spherical polynomials and radial basis functions on spheres. Math. Comput. 78 (267) (2009)
Nira Dyn, Armin Iske, Holger Wendland
Meshfree Thinning of 3D Point Clouds. Found. Comput. Math. 8 (4) (2008)
Peter Giesl, Holger Wendland
Meshless Collocation: Error Estimates with Application to Dynamical Systems. SIAM J. Numer. Anal. 45 (4) (2007)
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) (2007)
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) (2006)
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) (2005)
Holger Wendland
On the Convergence of a General Class of Finite Volume Methods. SIAM J. Numer. Anal. 43 (3) (2005)
Stefano De Marchi, Robert Schaback, Holger Wendland
Near-optimal data-independent point locations for radial basis function interpolation. Adv. Comput. Math. 23 (3) (2005)
Holger Wendland, Christian Rieger
Approximate Interpolation with Applications to Selecting Smoothing Parameters. Numerische Mathematik 101 (4) (2005)
Robert Schaback, Holger Wendland
Inverse and saturation theorems for radial basis function interpolation. Math. Comput. 71 (238) (2002)
Robert Schaback, Holger Wendland
Adaptive greedy techniques for approximate solution of large RBF systems. Numer. Algorithms 24 (3) (2000)
Holger Wendland
Meshless Galerkin methods using radial basis functions. Math. Comput. 68 (228) (1999)
Holger Wendland
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. 4 (1) (1995)