Abstract
M. Golomb [2] recently suggested a method for the optimal numerical solution of linear boundary-value problems which leads to approximations which are certain Lg-splines. The purpose of this paper is to apply a factorization method for constructing general Lg-interpolating splines to produce convenient algorithms for Golomb’s method. The resulting numerical method seems to exhibit a localized error behavior which makes it especially useful for stiff initial-value problems. Numerical examples are included.
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References
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Eidson, H.D., Schumaker, L.L. (1976). Spline Solution of Linear Initial- and Boundary-Value Problems. In: Albrecht, J., Collatz, L. (eds) Moderne Methoden der Numerischen Mathematik. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 32. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5501-3_5
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DOI: https://doi.org/10.1007/978-3-0348-5501-3_5
Publisher Name: Birkhäuser, Basel
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