World's Best Scientists 2026 revealed!

Overview

Holger Wendland is affiliated with the University of Bayreuth in Germany. Their research primarily focuses on engineering, with specific contributions in computational mechanics, mechanics of materials, numerical analysis, control and systems engineering, and computational theory and mathematics.

Their work addresses a variety of advanced topics, including:

  • Numerical methods in engineering
  • Advanced numerical methods in computational mathematics
  • Advanced mathematical modeling in engineering
  • Fluid dynamics simulations and interactions
  • Advanced optimization algorithms research
  • Probabilistic and robust engineering design
  • Composite material mechanics

Holger Wendland has published papers in several notable venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • SIAM Journal on Scientific Computing
  • Advances in Computational Mathematics
  • IMA Journal of Numerical Analysis

Recent scholarly papers by Wendland highlight work related to numerical methods and mathematical modeling, including:

  • "Solving partial differential equations on (evolving) surfaces with radial basis functions," 2020, Advances in Computational Mathematics
  • "Minimization with differential inequality constraints applied to complete Lyapunov functions," 2021, Mathematics of Computation
  • "Multilevel quasi-interpolation," 2022, IMA Journal of Numerical Analysis
  • "On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions," 2024, SIAM Journal on Numerical Analysis
  • "An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method," 2021, SIAM Journal on Mathematical Analysis

The scientist has collaborated multiple times with several coauthors, among whom the most frequent are:

  • Rüdiger Kempf
  • Tino Franz
  • Christian Rieger
  • Peter Giesl
  • Sigurður Hafstein

Best Publications

  • Scattered Data Approximation

    Holger Wendland

  • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

    Holger Wendland

  • Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree

    Holger Wendland

  • Multivariate interpolation for fluid-structure-interaction problems using radial basis functions

    Armin Beckert;Holger Wendland

  • Meshless Galerkin methods using radial basis functions

    Holger Wendland

  • Kernel techniques: From machine learning to meshless methods

    Robert Schaback;Holger Wendland

  • Fast evaluation of radial basis functions : methods based on partition of unity

    Holger Wendland

  • Characterization and construction of radial basis functions

    Robert Schaback;Holger Wendland

  • Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

    Francis J. Narcowich;Joseph D. Ward;Holger Wendland

  • Adaptive greedy techniques for approximate solution of large RBF systems

    Robert Schaback;Holger Wendland

  • Local polynomial reproduction and moving least squares approximation

    Holger Wendland

  • Sobolev Error Estimates and a Bernstein Inequality for Scattered Data Interpolation via Radial Basis Functions

    Francis J. Narcowich;Joseph D. Ward;Holger Wendland

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

    Stefano De Marchi;Robert Schaback;Holger Wendland

  • Computational Aspects of Radial Basis Function Approximation

    Holger Wendland

  • Approximate Interpolation with Applications to Selecting Smoothing Parameters

    Holger Wendland;Christian Rieger

  • Meshless Collocation: Error Estimates with Application to Dynamical Systems

    Peter Giesl;Holger Wendland

  • Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions

    Francis J. Narcowich;Xingping Sun;Joseph D. Ward;Holger Wendland

  • Multiscale Analysis in Sobolev Spaces on the Sphere

    Q. T. Le Gia;I. H. Sloan;H. Wendland

  • Inverse and saturation theorems for radial basis function interpolation

    Robert Schaback;Holger Wendland

  • Scattered Data Approximation: Error estimates for radial basis function interpolation

    Holger Wendland

Frequent Co-Authors

Robert Schaback
Robert Schaback University of Göttingen
Francis J. Narcowich
Francis J. Narcowich Texas A&M University
Ian H. Sloan
Ian H. Sloan University of New South Wales
Joseph D. Ward
Joseph D. Ward Texas A&M University
Nira Dyn
Nira Dyn Tel Aviv University

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