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Digitale Medien

Linear self-adjoint multipoint boundary value problems and related approximation schemes (1970)

Jerome, Joseph W.

Springer

Numerische Mathematik 15 (1970), S. 433-449

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ISSN: 0945-3245

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02165513

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