| Publication | Date of Publication | Type |
|---|
| A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations | 2024-03-05 | Paper |
| \(H\)-sets for kernel-based spaces | 2023-09-06 | Paper |
| Small errors imply large evaluation instabilities | 2023-05-03 | Paper |
| The Mat\'ern Model: A Journey through Statistics, Numerical Analysis and Machine Learning | 2023-03-05 | Paper |
| Scaling of Radial Basis Functions | 2022-10-11 | Paper |
| Small Errors Imply Large Instabilities | 2022-03-09 | Paper |
| An approximation theorist's view on solving operator equations -- with special attention to Trefftz, MFS, MPS, and DRM methods | 2021-04-21 | Paper |
| On COVID-19 modelling | 2020-09-30 | Paper |
| Optimal stencils in Sobolev spaces | 2020-06-04 | Paper |
| On the fractional derivatives of radial basis functions: Theories and applications | 2019-10-25 | Paper |
| A meshfree method for solving the Monge-Ampère equation | 2019-09-19 | Paper |
| Kernel-based adaptive approximation of functions with discontinuities | 2019-03-29 | Paper |
| A Greedy Method for Solving Classes of PDE Problems | 2019-03-27 | Paper |
| Error Analysis of Nodal Meshless Methods | 2018-11-13 | Paper |
| Minimal numerical differentiation formulas | 2018-10-31 | Paper |
| Superconvergence of kernel-based interpolation | 2018-08-24 | Paper |
| An Approximation Theorist's View on Solving Operator Equations | 2018-06-19 | Paper |
| $H^2$-Convergence of Least-Squares Kernel Collocation Methods | 2018-03-09 | Paper |
| The meshless kernel-based method of lines for parabolic equations | 2017-08-30 | Paper |
| A Simple Solution for Maximum Range Flight | 2017-04-15 | Paper |
| A Meshless Method for Solving the 2D BrusselatorReaction-Diffusion System | 2017-02-27 | Paper |
| On the Fractional Derivatives of Radial Basis Functions | 2016-12-22 | Paper |
| Convergence analysis of general spectral methods | 2016-11-22 | Paper |
| Approximation of eigenfunctions in kernel-based spaces | 2016-09-16 | Paper |
| Direct meshless kernel techniques for time-dependent equations | 2016-06-23 | Paper |
| All well-posed problems have uniformly stable and convergent discretizations | 2016-03-02 | Paper |
| Error bounds for kernel-based numerical differentiation | 2016-02-17 | Paper |
| Radial kernels via scale derivatives | 2015-06-15 | Paper |
| A computational tool for comparing all linear PDE solvers | 2015-06-15 | Paper |
| Interpolation with variably scaled kernels | 2015-02-17 | Paper |
| Greedy sparse linear approximations of functionals from nodal data | 2014-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2875249 | 2014-08-14 | Paper |
| Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method | 2014-06-27 | Paper |
| A nonlinear discretization theory | 2014-06-20 | Paper |
| The meshless kernel-based method of lines for solving the equal width equation | 2014-01-31 | Paper |
| Interpolation of spatial data – A stochastic or a deterministic problem? | 2014-01-21 | Paper |
| Interpolation and approximation in Taylor spaces | 2014-01-08 | Paper |
| Generalized Whittle-Matérn and polyharmonic kernels | 2013-08-02 | Paper |
| Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation | 2013-04-18 | Paper |
| Solving the 3D Laplace equation by meshless collocation via harmonic kernels | 2013-04-15 | Paper |
| Bases for conditionally positive definite kernels | 2013-02-21 | Paper |
| A computational tool for comparing all linear PDE solvers -- Optimal methods are meshless | 2013-02-12 | Paper |
| On generalized moving least squares and diffuse derivatives | 2012-08-17 | Paper |
| Bases for kernel-based spaces | 2011-12-08 | Paper |
| The missing Wendland functions | 2011-01-17 | Paper |
| Recursive Kernels | 2010-11-05 | Paper |
| Results on meshless collocation techniques | 2010-09-28 | Paper |
| An improved subspace selection algorithm for meshless collocation methods | 2010-03-29 | Paper |
| Sampling and Stability | 2010-03-16 | Paper |
| Unsymmetric meshless methods for operator equations | 2010-03-02 | Paper |
| Stability of kernel-based interpolation | 2010-02-25 | Paper |
| A Newton basis for kernel spaces | 2010-01-08 | Paper |
| Solving the Laplace equation by meshless collocation using harmonic kernels | 2010-01-04 | Paper |
| Stable and Convergent Unsymmetric Meshless Collocation Methods | 2009-06-22 | Paper |
| On convergent numerical algorithms for unsymmetric collocation | 2009-05-04 | Paper |
| Recovery of functions from weak data using unsymmetric meshless kernel-based methods | 2008-04-28 | Paper |
| Solvability of partial differential equations by meshless kernel methods | 2008-04-04 | Paper |
| Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods | 2008-03-10 | Paper |
| Limit problems for interpolation by analytic radial basis functions | 2008-01-30 | Paper |
| Kernel techniques: From machine learning to meshless methods | 2007-03-23 | Paper |
| Interpolation by basis functions of different scales and shapes | 2006-09-28 | Paper |
| Kernel \(B\)-splines and interpolation | 2006-05-02 | Paper |
| Multivariate interpolation by polynomials and radial basis functions | 2005-08-23 | Paper |
| Near-optimal data-independent point locations for radial basis function interpolation | 2005-05-20 | Paper |
| Numerische Mathematik | 2004-09-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4460103 | 2004-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4426080 | 2003-09-16 | Paper |
| An adaptive greedy algorithm for solving large RBF collocation problems | 2003-05-11 | Paper |
| On unsymmetric collocation by radial basis functions | 2003-01-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4421615 | 2003-01-01 | Paper |
| Approximation in Sobolev spaces by kernel expansions | 2002-07-04 | Paper |
| Adaptive interpolation by scaled multiquadrics | 2002-06-09 | Paper |
| Inverse and saturation theorems for radial basis function interpolation | 2002-03-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2703188 | 2001-09-03 | Paper |
| A unified theory of radial basis functions. Native Hilbert spaces for radial basis functions. II | 2001-03-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2737660 | 2001-01-01 | Paper |
| Adaptive greedy techniques for approximate solution of large RBF systems | 2000-11-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4699405 | 2000-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4486593 | 2000-06-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4938099 | 2000-05-25 | Paper |
| Multilevel interpolation and approximation | 2000-05-15 | Paper |
| Solving partial differential equations by collocation using radial basis functions | 1999-06-29 | Paper |
| Convergence order estimates of meshless collocation methods using radial basis functions | 1999-03-22 | Paper |
| Improved error bounds for scattered data interpolation by radial basis functions | 1998-12-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3839132 | 1998-08-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4379958 | 1998-03-11 | Paper |
| Construction techniques for highly accurate quasi-interpolation operators | 1998-02-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4365451 | 1997-11-04 | Paper |
| Operators on radial functions | 1997-03-12 | Paper |
| Approximation by radial basis functions with finitely many centers | 1997-01-21 | Paper |
| Lower bounds for norms of inverses of interpolation matrices for radial basis functions | 1996-01-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4856431 | 1995-12-20 | Paper |
| Error estimates and condition numbers for radial basis function interpolation | 1995-10-09 | Paper |
| Shape preserving properties and convergence of univariate multiquadric quasi-interpolation | 1995-10-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4328452 | 1995-04-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4325865 | 1995-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4316943 | 1994-12-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4286639 | 1994-04-20 | Paper |
| Planar curve interpolation by piecewise conics of arbitrary type | 1993-12-10 | Paper |
| A parallel multistage method for surface/surface intersection | 1993-10-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4039862 | 1993-06-05 | Paper |
| Error estimates for approximations from control nets | 1993-05-16 | Paper |
| Local error estimates for radial basis function interpolation of scattered data | 1993-02-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010404 | 1992-09-27 | Paper |
| Numerical mathematics | 1992-09-18 | Paper |
| An extended continuous Newton method | 1990-01-01 | Paper |
| Adaptive rational splines | 1990-01-01 | Paper |
| Interpolation with piecewise quadratic visually \(C^ 2\) Bézier polynomials | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3350094 | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3829949 | 1989-01-01 | Paper |
| On the Expected Sublinearity of the Boyer–Moore Algorithm | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4723185 | 1987-01-01 | Paper |
| Helmut Werner | 1987-01-01 | Paper |
| Numerische Approximation | 1986-01-01 | Paper |
| Convergence analysis of the general Gauss-Newton algorithm | 1985-01-01 | Paper |
| Optimal nodes for interpolation in Hardy spaces | 1982-01-01 | Paper |
| Fehlerabschaetzungen für Koeffizienten von Exponentialsummen und Polynomen | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3867012 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3900454 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3925785 | 1980-01-01 | Paper |
| Suboptimal Exponential Approximations | 1979-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4164245 | 1979-01-01 | Paper |
| Eine rundungsgenaue Formel zur maschinellen Berechnung der Prager-Oettli- Schranke | 1978-01-01 | Paper |
| On alternation numbers in nonlinear Chebyshev approximation | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4190035 | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4170144 | 1977-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4125292 | 1976-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4130284 | 1976-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4773229 | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4045122 | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4045581 | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5652143 | 1973-01-01 | Paper |
| Optimale Interpolations- und Approximationssysteme | 1973-01-01 | Paper |
| Spezielle rationale Splinefunktionen | 1973-01-01 | Paper |
| Interpolation mit nichtlinearen Klassen von Spline-Funktionen | 1973-01-01 | Paper |
| Konstruktion und algebraische Eigenschaften von M-Spline- Interpolierenden | 1973-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5664327 | 1972-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5674838 | 1972-01-01 | Paper |
| Eine Lösungsmethode für die lineare Tschebyscheff-Approximation bei nicht erfüllter Haarscher Bedingung | 1970-01-01 | Paper |