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单词 Bessel's Finite Difference Formula
释义

Bessel's Finite Difference Formula

An Interpolation formula also sometimes known as


(1)

for , where is the Central Difference and
(2)
(3)
(4)
(5)

where are the Coefficients from Gauss's Backward Formula and Gauss's Forward Formula and and are the Coefficients from Everett's Formula. The s also satisfy
(6)
(7)

for
(8)

See also Everett's Formula


References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 880, 1972.

Acton, F. S. Numerical Methods That Work, 2nd printing. Washington, DC: Math. Assoc. Amer., pp. 90-91, 1990.

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 433, 1987.


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