Robert Schaback

CoRR, 2024

Greedy Adaptive Local Recovery of Functions in Sobolev Spaces.

[BibT_eX]

[DOI]

CoRR, 2024

2023

H-sets for kernel-based spaces.

[BibT_eX]

[DOI]

J. Approx. Theory, October, 2023

Small errors imply large evaluation instabilities.

[BibT_eX]

[DOI]

Adv. Comput. Math., April, 2023

2022

Scaling of Radial Basis Functions.

[BibT_eX]

[DOI]

Elisabeth Larsson

CoRR, 2022

Small Errors Imply Large Instabilities.

[BibT_eX]

[DOI]

CoRR, 2022

2021

An Approximation Theorist's view on solving operator equations - With special attention to Trefftz, MFS, MPS, and DRM methods.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2021

2019

A meshfree method for solving the Monge-Ampère equation.

[BibT_eX]

[DOI]

Klaus Böhmer

Numer. Algorithms, 2019

2018

H<sup>2</sup>-Convergence of Least-Squares Kernel Collocation Methods.

[BibT_eX]

[DOI]

Ka Chun Cheung

Leevan Ling

SIAM J. Numer. Anal., 2018

Minimal numerical differentiation formulas.

[BibT_eX]

[DOI]

Oleg Davydov

Numerische Mathematik, 2018

Superconvergence of kernel-based interpolation.

[BibT_eX]

[DOI]

J. Approx. Theory, 2018

2017

Convergence analysis of general spectral methods.

[BibT_eX]

[DOI]

Maryam Mohammadi

J. Comput. Appl. Math., 2017

Kernel-based adaptive approximation of functions with discontinuities.

[BibT_eX]

[DOI]

Licia Lenarduzzi

Appl. Math. Comput., 2017

2016

All well-posed problems have uniformly stable and convergent discretizations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

Error bounds for kernel-based numerical differentiation.

[BibT_eX]

[DOI]

Oleg Davydov

Numerische Mathematik, 2016

Approximation of eigenfunctions in kernel-based spaces.

[BibT_eX]

[DOI]

Gabriele Santin

Adv. Comput. Math., 2016

2015

Direct meshless kernel techniques for time-dependent equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

A computational tool for comparing all linear PDE solvers - Error-optimal methods are meshless.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2015

Radial kernels via scale derivatives.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2015

2014

Greedy sparse linear approximations of functionals from nodal data.

[BibT_eX]

[DOI]

Numer. Algorithms, 2014

Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method.

[BibT_eX]

[DOI]

Davoud Mirzaei

Numer. Algorithms, 2014

The meshless Kernel-based method of lines for parabolic equations.

[BibT_eX]

[DOI]

M. Zhong

Comput. Math. Appl., 2014

2013

Bases for conditionally positive definite kernels.

[BibT_eX]

[DOI]

Maryam Pazouki

J. Comput. Appl. Math., 2013

A nonlinear discretization theory.

[BibT_eX]

[DOI]

Klaus Böhmer

J. Comput. Appl. Math., 2013

Interpolation and approximation in Taylor spaces.

[BibT_eX]

[DOI]

Barbara Zwicknagl

J. Approx. Theory, 2013

The meshless kernel-based method of lines for solving the equal width equation.

[BibT_eX]

[DOI]

Yilmaz Dereli

Appl. Math. Comput., 2013

Solving the 3D Laplace equation by meshless collocation via harmonic kernels.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2013

Generalized Whittle-Matérn and polyharmonic kernels.

[BibT_eX]

[DOI]

Mira Bozzini

Milvia Rossini

Adv. Comput. Math., 2013

2011

Bases for kernel-based spaces.

[BibT_eX]

[DOI]

Maryam Pazouki

J. Comput. Appl. Math., 2011

The missing Wendland functions.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2011

2010

Unsymmetric meshless methods for operator equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2010

Stability of kernel-based interpolation.

[BibT_eX]

[DOI]

Stefano De Marchi

Adv. Comput. Math., 2010

2009

A Newton basis for Kernel spaces.

[BibT_eX]

[DOI]

Stefan Müller

J. Approx. Theory, 2009

Solving the Laplace equation by meshless collocation using harmonic kernels.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2009

On convergent numerical algorithms for unsymmetric collocation.

[BibT_eX]

[DOI]

Cheng-Feng Lee

Leevan Ling

Adv. Comput. Math., 2009

2008

Stable and Convergent Unsymmetric Meshless Collocation Methods.

[BibT_eX]

[DOI]

Leevan Ling

SIAM J. Numer. Anal., 2008

Solvability of partial differential equations by meshless kernel methods.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2008

Sampling and Stability.

[BibT_eX]

[DOI]

Christian Rieger

Barbara Zwicknagl

Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

2007

Convergence of Unsymmetric Kernel-Based Meshless Collocation Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2007

2006

Kernel <i>B</i>-splines and interpolation.

[BibT_eX]

[DOI]

Mira Bozzini

Licia Lenarduzzi

Numer. Algorithms, 2006

Linearly constrained reconstruction of functions by kernels with applications to machine learning.

[BibT_eX]

[DOI]

Jochen Werner

Adv. Comput. Math., 2006

2005

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

[BibT_eX]

[DOI]

Stefano De Marchi

Adv. Comput. Math., 2005

Numerische Mathematik, 5. Auflage.

[BibT_eX]

[DOI]

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

2003

An Adaptive Greedy Algorithm for Solving Large RBF Collocation Problems.

[BibT_eX]

[DOI]

X. Zhou

Numer. Algorithms, 2003

2002

Inverse and saturation theorems for radial basis function interpolation.

[BibT_eX]

[DOI]

Math. Comput., 2002

Approximation in Sobolev Spaces by Kernel Expansions.

[BibT_eX]

[DOI]

Francis J. Narcowich

Joseph D. Ward

J. Approx. Theory, 2002

Adaptive Interpolation by Scaled Multiquadrics.

[BibT_eX]

[DOI]

Mira Bozzini

Licia Lenarduzzi

Adv. Comput. Math., 2002

2001

On unsymmetric collocation by radial basis functions.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2001

2000

Adaptive greedy techniques for approximate solution of large RBF systems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2000

Remarks on Meshless Local Construction of Surfaces.

[BibT_eX]

Proceedings of the 9th IMA Conference on the Mathematics of Surfaces, 2000

1999

Improved error bounds for scattered data interpolation by radial basis functions.

[BibT_eX]

[DOI]

Math. Comput., 1999

1998

Solving partial differential equations by collocation using radial basis functions.

[BibT_eX]

[DOI]

Carsten Franke

Appl. Math. Comput., 1998

Convergence order estimates of meshless collocation methods using radial basis functions.

[BibT_eX]

[DOI]

Carsten Franke

Adv. Comput. Math., 1998

1995

Error estimates and condition numbers for radial basis function interpolation.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1995

1993

Error estimates for approximations from control nets.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1993

A parallel multistage method for surface/surface intersection.

[BibT_eX]

[DOI]

Heiko Bürger

Comput. Aided Geom. Des., 1993

1992

Numerische Mathematik, 4. Auflage.

[BibT_eX]

Helmut Werner

Springer-Lehrbuch, Springer, ISBN: 978-3-540-54738-9, 1992

1989

Interpolation with piecewise quadratic visually C2 Bézier polynomials.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1989

1988

On the Expected Sublinearity of the Boyer-Moore Algorithm.

[BibT_eX]

[DOI]

SIAM J. Comput., 1988

1985

Interaktive graphische Simulation kontinuierlicher Systeme.

[BibT_eX]

[DOI]

Proceedings of the Simulationstechnik, 1985

1983

An Interactive System for Simulation and Graphic Evaluation of Discrete and Continuous Models.

[BibT_eX]

[DOI]

Johannes Krauth

Proceedings of the First European Simulation Congress ESC 83, 1983

1982

Ein interaktives System zur Simulation, Parameterschätzung und graphischen Ausweitung diskreter und kontinuierlicher Modelle.

[BibT_eX]

[DOI]

Proceedings of the Simulationstechnik, 1982

1978

Eine rundungsgenaue Formel zur maschinellen Berechnung der Prager-Oettli-Schranke.

[BibT_eX]

[DOI]

Computing, 1978

1970

Eine Lösungsmethode für die lineare Tschebyscheff-Approximation bei nicht erfüllter Haarscher Bedingung.

[BibT_eX]

[DOI]