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单词 Everett's Formula
释义

Everett's Formula


(1)

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

where are the Coefficients from Gauss's Backward Formula and Gauss's ForwardFormula and are the Coefficients from Bessel's Finite Difference Formula. The sand s also satisfy
(4)
(5)

for
(6)

See also Bessel's Finite Difference Formula


References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 880-881, 1972.

Acton, F. S. Numerical Methods That Work, 2nd printing. Washington, DC: Math. Assoc. Amer., pp. 92-93, 1990.

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


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