“Bessel's Finite Difference Formula”的概念、定义、习题解题方法及翻译-数学辞典

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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