Numerische Mathematik

, Volume 15, Issue 5, pp 433–449

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

  • Joseph W. Jerome
Article

DOI: 10.1007/BF02165513

Cite this article as:
Jerome, J.W. Numer. Math. (1970) 15: 433. doi:10.1007/BF02165513

Summary

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 then-widths of Kolmogorov. Convergence rates are given and generalizations to more general boundary value problems are discussed.

Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • Joseph W. Jerome
    • 1
  1. 1.Department of MathematicsNorthwestern UniversityEvanstonUSA