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Approximation by linear combinations of multivariate B-splines

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Publication:1165403
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DOI10.1016/0021-9045(81)90100-3zbMath0487.41012OpenAlexW2094566169MaRDI QIDQ1165403

Wolfgang Dahmen

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90100-3

zbMATH Keywords

global smoothnesslocal linear approximation schemesuniform configurations


Mathematics Subject Classification ID

Spline approximation (41A15) Approximation by arbitrary linear expressions (41A45)


Related Items

A remark on multivariate B-splines, Adaptive approximation by multivariate smooth splines, On constrained multivariate splines and their approximations



Cites Work

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  • A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
  • Local spline approximation methods
  • Local mesh refinement with finite elements for elliptic problems
  • An adaptive algorithm for multivariate approximation giving optimal convergence rates
  • Spline approximation by quasiinterpolants
  • On uniform approximation by splines
  • Some Combinatorial Lemmas in Topology
  • On Multivariate B-Splines
  • Triangular Elements in the Finite Element Method
  • The Numerical Evaluation of B-Splines
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