Numerical Techniques Based on Radial Basis Functions

Abstract

Radial basis functions are tools for reconstruction of multivariate functions from scattered data. This includes, for instance, reconstruction of surfaces from large sets of measurements, and solving partial differential equations by collocation. The resulting very large linear N x N systems require efficient techniques for their solution, preferably of O(N) or O(N log N) computational complexity. This contribution describes some special lines of research towards this future goal. Theoretical results are accompanied by numerical examples, and various open problems are pointed out.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012004

Entities

People

  • Holger Wendland
  • Robert Schaback

Organizations

  • University of Göttingen

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Calorific Value
  • Coefficients
  • Computational Complexity
  • Convergence
  • Differential Equations
  • Equations
  • Errors
  • Harmonic Analysis
  • Hilbert Space
  • Interpolation
  • Iterations
  • Numerical Analysis
  • Partial Differential Equations
  • Residuals
  • Technical Information Centers
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design