Holger Wendland

47 papers Journal 45Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. SIAM J. Numer. Anal. Christian Rieger, Holger Wendland
2026	J	`jnl`	Numerical Aspects of the Tensor Product Multilevel Method for High-Dimensional, Kernel-Based Reconstruction on Sparse Grids. J. Sci. Comput. Markus Büttner, Rüdiger Kempf, Holger Wendland
2025	J	`jnl`	Multiscale Scattered Data Analysis in Samplet Coordinates. SIAM J. Sci. Comput. Sara Avesani, Rüdiger Kempf, Michael D. Multerer, Holger Wendland
2025	J	`jnl`	Numerical Aspects of the Tensor Product Multilevel Method for High-dimensional, Kernel-based Reconstruction on Sparse Grids. CoRR Markus Büttner, Rüdiger Kempf, Holger Wendland
2025	J	`jnl`	Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields. CoRR Quoc Thong Le Gia, Ian Hugh Sloan, Holger Wendland
2024	J	`jnl`	Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. CoRR Christian Rieger, Holger Wendland
2024	J	`jnl`	Multiscale scattered data analysis in samplet coordinates. CoRR Sara Avesani, Rüdiger Kempf, Michael D. Multerer, Holger Wendland
2024	J	`jnl`	On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. SIAM J. Numer. Anal. Christian Rieger, Holger Wendland
2023	J	`jnl`	High-dimensional approximation with kernel-based multilevel methods on sparse grids. Numerische Mathematik Rüdiger Kempf, Holger Wendland
2023	J	`jnl`	On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions. SIAM J. Sci. Comput. Nir Sharon, Rafael Sherbu Cohen, Holger Wendland
2022	J	`jnl`	On multiscale quasi-interpolation of scattered scalar- and manifold-valued functions. CoRR Nir Sharon, Rafael Sherbu Cohen, Holger Wendland
2021	J	`jnl`	A Meshfree Method for a PDE-Constrained Optimization Problem. SIAM J. Numer. Anal. Daniel Hoff, Holger Wendland
2021	J	`jnl`	An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method. SIAM J. Math. Anal. Tino Franz, Holger Wendland
2021	J	`jnl`	Minimization with differential inequality constraints applied to complete Lyapunov functions. Math. Comput. Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland
2020	J	`jnl`	On the convergence of the rescaled localized radial basis function method. Appl. Math. Lett. Stefano De Marchi, Holger Wendland
2020	J	`jnl`	Solving partial differential equations on (evolving) surfaces with radial basis functions. Adv. Comput. Math. Holger Wendland, Jens Künemund
2019	J	`jnl`	A high-order meshless Galerkin method for semilinear parabolic equations on spheres. Numerische Mathematik Jens Künemund, Francis J. Narcowich, Joseph D. Ward, Holger Wendland
2018	J	`jnl`	A kernel-based discretisation method for first order partial differential equations. Math. Comput. Tobias Ramming, Holger Wendland
2018	—	`conf`	Construction of a Complete Lyapunov Function using Quadratic Programming. ICINCO (1) Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland
2018	J	`jnl`	Convergence of the Smoothed Particle Hydrodynamics Method for a Specific Barotropic Fluid Flow: Constructive Kernel Theory. SIAM J. Math. Anal. Tino Franz, Holger Wendland
2018	J	`jnl`	Kernel-Based Discretization for Solving Matrix-Valued PDEs. SIAM J. Numer. Anal. Peter Giesl, Holger Wendland
2017	J	`jnl`	Sampling inequalities for sparse grids. Numerische Mathematik Christian Rieger, Holger Wendland
2017	J	`jnl`	Zooming from global to local: a multiscale RBF approach. Adv. Comput. Math. Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
2016	J	`jnl`	A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem. SIAM J. Numer. Anal. Christopher Keim, Holger Wendland
2014	J	`jnl`	Data compression on the sphere using multiscale radial basis function approximation. Adv. Comput. Math. Quoc Thong Le Gia, Holger Wendland
2013	J	`jnl`	A high-order approximation method for semilinear parabolic equations on spheres. Math. Comput. Holger Wendland
2013	J	`jnl`	RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems. SIAM J. Numer. Anal. Patricio Farrell, Holger Wendland
2012	J	`jnl`	An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem. SIAM J. Numer. Anal. Daniela Schräder, Holger Wendland
2012	J	`jnl`	Multiscale RBF collocation for solving PDEs on spheres. Numerische Mathematik Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
2011	J	`jnl`	A high-order, analytically divergence-free discretization method for Darcy's problem. Math. Comput. Daniela Schräder, Holger Wendland
2010	J	`jnl`	Multiscale Analysis in Sobolev Spaces on the Sphere. SIAM J. Numer. Anal. Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
2010	J	`jnl`	Multiscale analysis in Sobolev spaces on bounded domains. Numerische Mathematik Holger Wendland
2009	J	`jnl`	Divergence-Free Kernel Methods for Approximating the Stokes Problem. SIAM J. Numer. Anal. Holger Wendland
2009	J	`jnl`	Inf-sup condition for spherical polynomials and radial basis functions on spheres. Math. Comput. Ian H. Sloan, Holger Wendland
2008	J	`jnl`	Meshfree Thinning of 3D Point Clouds. Found. Comput. Math. Nira Dyn, Armin Iske, Holger Wendland
2007	J	`jnl`	Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions. Found. Comput. Math. Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Holger Wendland
2007	J	`jnl`	Meshless Collocation: Error Estimates with Application to Dynamical Systems. SIAM J. Numer. Anal. Peter Giesl, Holger Wendland
2006	J	`jnl`	Continuous and discrete least-squares approximation by radial basis functions on spheres. J. Approx. Theory Quoc Thong Le Gia, Francis J. Narcowich, Joseph D. Ward, Holger Wendland
2005	J	`jnl`	Approximate Interpolation with Applications to Selecting Smoothing Parameters. Numerische Mathematik Holger Wendland, Christian Rieger
2005	J	`jnl`	Near-optimal data-independent point locations for radial basis function interpolation. Adv. Comput. Math. Stefano De Marchi, Robert Schaback, Holger Wendland
2005	—	`book`	Numerische Mathematik, 5. Auflage. Robert Schaback, Holger Wendland
2005	J	`jnl`	On the Convergence of a General Class of Finite Volume Methods. SIAM J. Numer. Anal. Holger Wendland
2005	J	`jnl`	Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Math. Comput. Francis J. Narcowich, Joseph D. Ward, Holger Wendland
2002	J	`jnl`	Inverse and saturation theorems for radial basis function interpolation. Math. Comput. Robert Schaback, Holger Wendland
2000	J	`jnl`	Adaptive greedy techniques for approximate solution of large RBF systems. Numer. Algorithms Robert Schaback, Holger Wendland
1999	J	`jnl`	Meshless Galerkin methods using radial basis functions. Math. Comput. Holger Wendland
1995	J	`jnl`	Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. Holger Wendland