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Generalized piecewise-Hermitian interpolation. (English) Zbl 0359.41001

MSC:

41A05 Interpolation in approximation theory
Full Text: DOI

References:

[1] O. G. Grushko, O. M. Litvin, A. M. Pidgornii, and V. V. Ved’ko, ?An expansion formula in a neighborhood of a parallelepiped in Rm,? Dopov, Akad., Nauk URSR, Ser. A. No. 1, 15-18 (1974).
[2] W. J. Gordon and C. A. Hall, ?Transfinite element methods: blending-function interpolation over arbitrary curved element domains,? Numer. Math.,21 (1973). · Zbl 0254.65072
[3] J. A. Marshall and A. R. Mitchell, ?An exact boundary technique for improved accuracy in the finite-element method,? J. Inst. Maths. Applic.,12 (1973). · Zbl 0271.65060
[4] G. Birkhoff, M. H. Schultz, and R. S. Varga, ?Piecewise-Hermite interpolation in one and two variables with applications to partial differential equations,? Numer. Math.,11 (1968). · Zbl 0159.20904
[5] P. G. Ciarlet, M. H. Schultz, and R. S. Varga, ?Numerical methods of high-order accuracy for nonlinear boundary-value problems. I. One-dimensional problem,? Numer. Math.,9 (1967). · Zbl 0155.20403
[6] E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag (1971).
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