Read More
Date: 30-9-2021
![]()
Date: 18-11-2021
![]()
Date: 23-11-2021
![]() |
An interpolation formula, sometimes known as the Newton-Bessel formula, given by
![]() |
(1) |
for , where
is the central difference and
![]() |
![]() |
![]() |
(2) |
![]() |
![]() |
![]() |
(3) |
![]() |
![]() |
![]() |
(4) |
![]() |
![]() |
![]() |
(5) |
![]() |
![]() |
![]() |
(6) |
![]() |
![]() |
![]() |
(7) |
![]() |
![]() |
![]() |
(8) |
![]() |
![]() |
![]() |
(9) |
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
![]() |
![]() |
![]() |
(10) |
![]() |
![]() |
![]() |
(11) |
for
![]() |
(12) |
REFERENCES:
Abramowitz, M. and Stegun, I. 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.
Whittaker, E. T. and Robinson, G. "The Newton-Bessel Formula." §24 in The Calculus of Observations: A Treatise on Numerical Mathematics, 4th ed. New York: Dover, pp. 39-40, 1967.
|
|
إدارة الغذاء والدواء الأميركية تقرّ عقارا جديدا للألزهايمر
|
|
|
|
|
شراء وقود الطائرات المستدام.. "الدفع" من جيب المسافر
|
|
|
|
|
العتبة العبّاسيّة: البحوث الّتي نوقشت في أسبوع الإمامة استطاعت أن تثري المشهد الثّقافي
|
|
|