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Good approximation by splines with variable knots. II

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Conference on the Numerical Solution of Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 363))

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References

  1. C. de Boor, Good approximation by splines with variable knots, in "Spline functions and approximation theory", A. Meir and A. Sharma ed., ISNM Vol. 21, Birkhäuser Verlag, Basel (1973), 57–72.

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  2. C. de Boor and B. Swartz, Collocation at Gaussian points, SIAM J. Numer. Anal. 10 (1973).

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  3. H. Burchard, Splines (with optimal joints) are better, to appear in J. Applicable Math. 1.

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  4. D. S. Dodson, Optimal order approximation by polynomial spline functions, Ph.D. Thesis, Purdue Univ., Lafayette, Ind., Aug. 1972.

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  5. D. E. McClure, Feature selection for the analysis of line patterns, Ph.D. Thesis, Brown Univ., Providence, R. I., 1970.

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  6. G. M. Phillips, Error estimates for best polynomial approximation, in "Approximation Theory", A. Talbot ed., Academic Press, London (1970), 1–6.

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  7. J. R. Rice, On the degree of convergence of nonlinear spline approximation, in "Approximations with special emphasis on spline functions", I. J. Schoenberg ed., Academic Press, New York (1969), 349–365.

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  8. R. D. Russell and L. F. Shampine, A collocation method for boundary value problems, Numer. Math. 19 (1972), 1–28.

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  9. E. G. Sewell, Automatic generation of triangulations for piecewise polynomial approximation, Ph.D. Thesis, Purdue Univ, Lafayette, Ind., Dec. 1972.

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G. A. Watson

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© 1974 Springer-Verlag

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de Boor, C. (1974). Good approximation by splines with variable knots. II. In: Watson, G.A. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069121

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  • DOI: https://doi.org/10.1007/BFb0069121

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  • Print ISBN: 978-3-540-06617-0

  • Online ISBN: 978-3-540-37914-0

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