Holger Wendland

According to our database, Holger Wendland authored at least 40 papers between 1995 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions.

Christian Rieger, Holger Wendland

SIAM J. Numer. Anal., 2024

Multiscale scattered data analysis in samplet coordinates.

Sara Avesani, Rüdiger Kempf, Michael D. Multerer, Holger Wendland

CoRR, 2024

2023

On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions.

Nir Sharon, Rafael Sherbu Cohen, Holger Wendland

SIAM J. Sci. Comput., October, 2023

High-dimensional approximation with kernel-based multilevel methods on sparse grids.

Rüdiger Kempf, Holger Wendland

Numerische Mathematik, August, 2023

2021

A Meshfree Method for a PDE-Constrained Optimization Problem.

Daniel Hoff, Holger Wendland

SIAM J. Numer. Anal., 2021

An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method.

Tino Franz, Holger Wendland

SIAM J. Math. Anal., 2021

Minimization with differential inequality constraints applied to complete Lyapunov functions.

Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland

Math. Comput., 2021

2020

On the convergence of the rescaled localized radial basis function method.

Stefano De Marchi, Holger Wendland

Appl. Math. Lett., 2020

Solving partial differential equations on (evolving) surfaces with radial basis functions.

Holger Wendland, Jens Künemund

Adv. Comput. Math., 2020

2019

A high-order meshless Galerkin method for semilinear parabolic equations on spheres.

Jens Künemund, Francis J. Narcowich, Joseph D. Ward, Holger Wendland

Numerische Mathematik, 2019

2018

Kernel-Based Discretization for Solving Matrix-Valued PDEs.

Peter Giesl, Holger Wendland

SIAM J. Numer. Anal., 2018

Convergence of the Smoothed Particle Hydrodynamics Method for a Specific Barotropic Fluid Flow: Constructive Kernel Theory.

Tino Franz, Holger Wendland

SIAM J. Math. Anal., 2018

A kernel-based discretisation method for first order partial differential equations.

Tobias Ramming, Holger Wendland

Math. Comput., 2018

Construction of a Complete Lyapunov Function using Quadratic Programming.

Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland

Proceedings of the 15th International Conference on Informatics in Control, 2018

2017

Sampling inequalities for sparse grids.

Christian Rieger, Holger Wendland

Numerische Mathematik, 2017

Zooming from global to local: a multiscale RBF approach.

Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland

Adv. Comput. Math., 2017

2016

A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem.

Christopher Keim, Holger Wendland

SIAM J. Numer. Anal., 2016

2014

Data compression on the sphere using multiscale radial basis function approximation.

Quoc Thong Le Gia, Holger Wendland

Adv. Comput. Math., 2014

2013

RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems.

Patricio Farrell, Holger Wendland

SIAM J. Numer. Anal., 2013

A high-order approximation method for semilinear parabolic equations on spheres.

Holger Wendland

Math. Comput., 2013

2012

An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem.

Daniela Schräder, Holger Wendland

SIAM J. Numer. Anal., 2012

Multiscale RBF collocation for solving PDEs on spheres.

Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland

Numerische Mathematik, 2012

2011

A high-order, analytically divergence-free discretization method for Darcy's problem.

Daniela Schräder, Holger Wendland

Math. Comput., 2011

2010

Multiscale Analysis in Sobolev Spaces on the Sphere.

Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland

SIAM J. Numer. Anal., 2010

Multiscale analysis in Sobolev spaces on bounded domains.

Holger Wendland

Numerische Mathematik, 2010

2009

Divergence-Free Kernel Methods for Approximating the Stokes Problem.

Holger Wendland

SIAM J. Numer. Anal., 2009

Inf-sup condition for spherical polynomials and radial basis functions on spheres.

Ian H. Sloan, Holger Wendland

Math. Comput., 2009

2008

Meshfree Thinning of 3D Point Clouds.

Nira Dyn, Armin Iske, Holger Wendland

Found. Comput. Math., 2008

2007

Meshless Collocation: Error Estimates with Application to Dynamical Systems.

Peter Giesl, Holger Wendland

SIAM J. Numer. Anal., 2007

Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions.

Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Holger Wendland

Found. Comput. Math., 2007

2006

Continuous and discrete least-squares approximation by radial basis functions on spheres.

Quoc Thong Le Gia, Francis J. Narcowich, Joseph D. Ward, Holger Wendland

J. Approx. Theory, 2006

2005

On the Convergence of a General Class of Finite Volume Methods.

Holger Wendland

SIAM J. Numer. Anal., 2005

Approximate Interpolation with Applications to Selecting Smoothing Parameters.

Holger Wendland, Christian Rieger

Numerische Mathematik, 2005

Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting.

Francis J. Narcowich, Joseph D. Ward, Holger Wendland

Math. Comput., 2005

Near-optimal data-independent point locations for radial basis function interpolation.

Stefano De Marchi, Robert Schaback, Holger Wendland

Adv. Comput. Math., 2005

Numerische Mathematik, 5. Auflage.

Robert Schaback, Holger Wendland

Springer-Lehrbuch, Springer, ISBN: 978-3-540-21394-9, 2005

2002

Inverse and saturation theorems for radial basis function interpolation.

Robert Schaback, Holger Wendland

Math. Comput., 2002

2000

Adaptive greedy techniques for approximate solution of large RBF systems.

Robert Schaback, Holger Wendland

Numer. Algorithms, 2000

1999

Meshless Galerkin methods using radial basis functions.

Holger Wendland

Math. Comput., 1999

1995

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree.

Holger Wendland

Adv. Comput. Math., 1995