Robert Schaback

According to our database, Robert Schaback authored at least 62 papers between 1970 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2023

H-sets for kernel-based spaces.

Robert Schaback

J. Approx. Theory, October, 2023

Small errors imply large evaluation instabilities.

Robert Schaback

Adv. Comput. Math., April, 2023

2022

Scaling of Radial Basis Functions.

Elisabeth Larsson, Robert Schaback

CoRR, 2022

Small Errors Imply Large Instabilities.

Robert Schaback

CoRR, 2022

2021

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

Robert Schaback

Comput. Math. Appl., 2021

2019

A meshfree method for solving the Monge-Ampère equation.

Klaus Böhmer, Robert Schaback

Numer. Algorithms, 2019

2018

H²-Convergence of Least-Squares Kernel Collocation Methods.

Ka Chun Cheung, Leevan Ling, Robert Schaback

SIAM J. Numer. Anal., 2018

Minimal numerical differentiation formulas.

Oleg Davydov, Robert Schaback

Numerische Mathematik, 2018

Superconvergence of kernel-based interpolation.

Robert Schaback

J. Approx. Theory, 2018

2017

Convergence analysis of general spectral methods.

Maryam Mohammadi, Robert Schaback

J. Comput. Appl. Math., 2017

Kernel-based adaptive approximation of functions with discontinuities.

Licia Lenarduzzi, Robert Schaback

Appl. Math. Comput., 2017

2016

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

Robert Schaback

Numerische Mathematik, 2016

Error bounds for kernel-based numerical differentiation.

Oleg Davydov, Robert Schaback

Numerische Mathematik, 2016

Approximation of eigenfunctions in kernel-based spaces.

Gabriele Santin, Robert Schaback

Adv. Comput. Math., 2016

2015

Direct meshless kernel techniques for time-dependent equations.

Y. C. Hon, Robert Schaback

Appl. Math. Comput., 2015

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

Robert Schaback

Adv. Comput. Math., 2015

Radial kernels via scale derivatives.

Mira Bozzini, Milvia Rossini, Robert Schaback, Elena Volontè

Adv. Comput. Math., 2015

2014

Greedy sparse linear approximations of functionals from nodal data.

Robert Schaback

Numer. Algorithms, 2014

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

Davoud Mirzaei, Robert Schaback

Numer. Algorithms, 2014

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

Y. C. Hon, Robert Schaback, M. Zhong

Comput. Math. Appl., 2014

2013

Bases for conditionally positive definite kernels.

Maryam Pazouki, Robert Schaback

J. Comput. Appl. Math., 2013

A nonlinear discretization theory.

Klaus Böhmer, Robert Schaback

J. Comput. Appl. Math., 2013

Interpolation and approximation in Taylor spaces.

Barbara Zwicknagl, Robert Schaback

J. Approx. Theory, 2013

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

Yilmaz Dereli, Robert Schaback

Appl. Math. Comput., 2013

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

Y. C. Hon, Robert Schaback

Adv. Comput. Math., 2013

Generalized Whittle-Matérn and polyharmonic kernels.

Mira Bozzini, Milvia Rossini, Robert Schaback

Adv. Comput. Math., 2013

2011

Bases for kernel-based spaces.

Maryam Pazouki, Robert Schaback

J. Comput. Appl. Math., 2011

The missing Wendland functions.

Robert Schaback

Adv. Comput. Math., 2011

2010

Unsymmetric meshless methods for operator equations.

Robert Schaback

Numerische Mathematik, 2010

Stability of kernel-based interpolation.

Stefano De Marchi, Robert Schaback

Adv. Comput. Math., 2010

2009

A Newton basis for Kernel spaces.

Stefan Müller, Robert Schaback

J. Approx. Theory, 2009

Solving the Laplace equation by meshless collocation using harmonic kernels.

Robert Schaback

Adv. Comput. Math., 2009

On convergent numerical algorithms for unsymmetric collocation.

Cheng-Feng Lee, Leevan Ling, Robert Schaback

Adv. Comput. Math., 2009

2008

Stable and Convergent Unsymmetric Meshless Collocation Methods.

Leevan Ling, Robert Schaback

SIAM J. Numer. Anal., 2008

Solvability of partial differential equations by meshless kernel methods.

Y. C. Hon, Robert Schaback

Adv. Comput. Math., 2008

Sampling and Stability.

Christian Rieger, Robert Schaback, Barbara Zwicknagl

Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

2007

Convergence of Unsymmetric Kernel-Based Meshless Collocation Methods.

Robert Schaback

SIAM J. Numer. Anal., 2007

2006

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

Mira Bozzini, Licia Lenarduzzi, Robert Schaback

Numer. Algorithms, 2006

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

Robert Schaback, J. Werner

Adv. Comput. Math., 2006

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

2003

An Adaptive Greedy Algorithm for Solving Large RBF Collocation Problems.

Y. C. Hon, Robert Schaback, X. Zhou

Numer. Algorithms, 2003

2002

Inverse and saturation theorems for radial basis function interpolation.

Robert Schaback, Holger Wendland

Math. Comput., 2002

Approximation in Sobolev Spaces by Kernel Expansions.

Francis J. Narcowich, Robert Schaback, Joseph D. Ward

J. Approx. Theory, 2002

Adaptive Interpolation by Scaled Multiquadrics.

Mira Bozzini, Licia Lenarduzzi, Robert Schaback

Adv. Comput. Math., 2002

2001

On unsymmetric collocation by radial basis functions.

Y. C. Hon, Robert Schaback

Appl. Math. Comput., 2001

2000

Adaptive greedy techniques for approximate solution of large RBF systems.

Robert Schaback, Holger Wendland

Numer. Algorithms, 2000

Remarks on Meshless Local Construction of Surfaces.

Robert Schaback

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

1999

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

Robert Schaback

Math. Comput., 1999

1998

Solving partial differential equations by collocation using radial basis functions.

Carsten Franke, Robert Schaback

Appl. Math. Comput., 1998

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

Carsten Franke, Robert Schaback

Adv. Comput. Math., 1998

1995

Error estimates and condition numbers for radial basis function interpolation.

Robert Schaback

Adv. Comput. Math., 1995

1993

Error estimates for approximations from control nets.

Robert Schaback

Comput. Aided Geom. Des., 1993

A parallel multistage method for surface/surface intersection.

Heiko Bürger, Robert Schaback

Comput. Aided Geom. Des., 1993

1992

Numerische Mathematik, 4. Auflage.

Robert Schaback, Helmut Werner

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

1989

Interpolation with piecewise quadratic visually C2 Bézier polynomials.

Robert Schaback

Comput. Aided Geom. Des., 1989

1988

On the Expected Sublinearity of the Boyer-Moore Algorithm.

Robert Schaback

SIAM J. Comput., 1988

1985

Interaktive graphische Simulation kontinuierlicher Systeme.

Robert Schaback

Proceedings of the Simulationstechnik, 1985

1983

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

Johannes Krauth, Robert Schaback

Proceedings of the First European Simulation Congress ESC 83, 1983

1982

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

Robert Schaback

Proceedings of the Simulationstechnik, 1982

1978

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

Robert Schaback

Computing, 1978

1970

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

Robert Schaback, Dietrich Braess

Computing, 1970