World's Best Scientists 2026 revealed!

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Mathematics

D-Index
44
Citations
8143
World Ranking
1583
National Ranking
93

Overview

Robert Schaback is affiliated with the University of Göttingen in Germany. Their research primarily spans the fields of Engineering and Mathematics, with particular emphasis on Computational Mechanics and Mechanics of Materials within these broad areas.

The main topics covered in their work include:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Numerical methods in inverse problems
  • Mathematical Approximation and Integration
  • Soil Geostatistics and Mapping
  • COVID-19 epidemiological studies
  • Mathematical and Theoretical Epidemiology and Ecology Models

Robert Schaback has contributed to a variety of recent research papers, among them:

  • "Scaling of radial basis functions," 2023, IMA Journal of Numerical Analysis
  • "The Matérn Model: A Journey Through Statistics, Numerical Analysis and Machine Learning," 2024, Statistical Science
  • "Small errors imply large evaluation instabilities," 2023, Advances in Computational Mathematics
  • "Introducing the evaluation condition number: A novel assessment of conditioning in radial basis function methods," 2024, Engineering Analysis with Boundary Elements
  • "Modelling Recovered Cases and Death Probabilities for the COVID-19 Outbreak," 2020, arXiv (Cornell University)

Their frequent co-authors include Emilio Porcu, Amir Noorizadegan, Moreno Bevilacqua, Chris J. Oates, and Elisabeth Larsson.

Publication venues where Robert Schaback has frequently published include:

  • arXiv (Cornell University)
  • Jahresbericht der Deutschen Mathematiker-Vereinigung
  • Statistical Science
  • IMA Journal of Numerical Analysis
  • Advances in Computational Mathematics

Best Publications

  • Error estimates and condition numbers for radial basis function interpolation

    Robert Schaback

  • Solving partial differential equations by collocation using radial basis functions

    C. Franke;R. Schaback

  • Local error estimates for radial basis function interpolation of scattered data

    Zong-Min Wu;Robert Schaback

  • Kernel techniques: From machine learning to meshless methods

    Robert Schaback;Holger Wendland

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

    Carsten Franke;Robert Schaback

  • On unsymmetric collocation by radial basis functions

    Y. C. Hon;R. Schaback

  • On generalized moving least squares and diffuse derivatives

    Davoud Mirzaei;Robert Schaback;Mehdi Dehghan

  • Characterization and construction of radial basis functions

    Robert Schaback;Holger Wendland

  • Multivariate Interpolation by Polynomials and Radial Basis Functions

    Robert Schaback

  • Shape preserving properties and convergence of univariate multiquadric quasi-interpolation

    Z M Wu;R Schaback

  • Results on meshless collocation techniques

    Leevan Ling;Roland Opfer;Robert Schaback

  • Native Hilbert Spaces for Radial Basis Functions I

    Robert Schaback

  • Adaptive greedy techniques for approximate solution of large RBF systems

    Robert Schaback;Holger Wendland

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

    Stefano De Marchi;Robert Schaback;Holger Wendland

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

    R. Schaback

  • Convergence of Unsymmetric Kernel-Based Meshless Collocation Methods

    Robert Schaback

  • An Adaptive Greedy Algorithm for Solving Large RBF Collocation Problems

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

  • Bases for kernel-based spaces

    Maryam Pazouki;Robert Schaback

  • Interpolation of spatial data – A stochastic or a deterministic problem?

    Michael Scheuerer;Robert Schaback;Martin Schlather

  • Direct Meshless Local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation

    Davoud Mirzaei;Robert Schaback

Frequent Co-Authors

Holger Wendland
Holger Wendland University of Bayreuth
Benny Y.C. Hon
Benny Y.C. Hon Chinese University of Hong Kong
Francis J. Narcowich
Francis J. Narcowich Texas A&M University
Joseph D. Ward
Joseph D. Ward Texas A&M University
Mehdi Dehghan
Mehdi Dehghan Amirkabir University of Technology
Dietrich Braess
Dietrich Braess Ruhr University Bochum

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