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On the Rate of Convergence of Difference Schemes for Parabolic Initial-Value Problems and of Singular Integrals

  • Jörgen Löfström
Chapter
Part of the ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique book series (ISNM, volume 10)

Abstract

The theory of interpolation spaces has applications to many branches of Analysis, in particular to Approximation theory (see Berens [1] [2], Butzer—Berens [5], Löfström [11] [12], Peetre [15] [18], and others). Our main intention in this paper is to apply the techniques of interpolation spaces (actually disguised as Besov spaces) to some problems related to finite difference approximations for partial differential equations. In doing so we extend and complement previous work by Peetre—Thomée [19], Hedstrom [7], Widlund [24].

Keywords

Difference Scheme Besov Space Singular Integral Interpolation Space Fourier Multiplier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 1969

Authors and Affiliations

  • Jörgen Löfström
    • 1
  1. 1.Dept. of Math.Lund Institute of TechnologySweden

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