Abstract
This paper is concerned with some computational aspects of the two basic ingredients for Galerkin-type approximations by linear combinations of multivariate B-splines, namely the numerical evaluation of the corresponding inner products and the practical construction of a well-conditioned spline basis. The respective algorithms proposed in this paper are based on some recent results which are briefly surveyed on occasion. The discussion of the algorithms is supplemented by numerical examples.
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© 1982 Birkhäuser Verlag Basel
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Dahmen, W.A., Micchelli, C.A. (1982). Numerical Algorithms for Least Squares Approximation by Multivariate B-Splines. In: Collatz, L., Meinardus, G., Werner, H. (eds) Numerical Methods of Approximation Theory, Vol.6 / Numerische Methoden der Approximationstheorie, Band 6. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 59. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7186-0_7
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DOI: https://doi.org/10.1007/978-3-0348-7186-0_7
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