Linear self-adjoint multipoint boundary value problems and related approximation schemes

Joseph W Jerome*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Linear self-adjoint multipoint boundary value problems are investigated. The case of the homogeneous equation is shown to lead to spline solutions, which are then utilized to construct a Green's function for the case of homogeneous boundary conditions. An approximation scheme is described in terms of the eigen-functions of the inverse of the Green's operator and is shown to be optimal in the sense of the n-widths of Kolmogorov. Convergence rates are given and generalizations to more general boundary value problems are discussed.

Original languageEnglish (US)
Pages (from-to)433-449
Number of pages17
JournalNumerische Mathematik
Volume15
Issue number5
DOIs
StatePublished - Sep 1 1970

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Mathematics(all)

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