Abstract
The approximation of multivariate functions is in gen eral a difficult task, especially if one wants to obtain optimal solutions (the characterizing H-sets are mostly hard to find). But there are many cases where satisfactory approximations can be established with little expenditure. Thus the practical complexity of such problems is low. We propose to apply especially simple methods for computing “floppy” approximations: Green Mathematics for developing areas. One point is to employ rather coarse grids, in connection with error estimates for the meshes. Another idea is to improve initial approximations (e.g. determined by interpolation) by correcting polynomials of the single peak type.
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© 1982 Birkhäuser Verlag Basel
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Scherer, R., Zeller, K. (1982). Floppy vs. Fussy Approximation. 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_13
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DOI: https://doi.org/10.1007/978-3-0348-7186-0_13
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