Interpolation And The Lagrange Polynomal
Öz
We show that the interpolation polynomial in the lagrange form canbe calculatetod with the some numbers of the arithetic operations. Given a set of n+1 data points and a function f, the aim is to determine a polynomial of degree n which interpolates f at the points inquestion
Anahtar Kelimeler
Kaynakça
- Aho. A.V. Hopcroft J.E and Ullman J.D. The desing and analysis of computer algoritms, Addison Wesley.reading mass. 470 pp. Qa76.6.A.36 (1974)
- Ames. W.F Numerial methods for partial differential equations (second edition).Academic pres. New York: 365 pp QA374 A46 (1977).
- Bailey N.T.J., The mathematical theory of epidemics, C.griffin.london: 194 pp. RA652. B3 (1957).
- Barnadelli H. ”Population Waves” Journal of the Burma Research society: 31, 1-18 (1941).
- Birkhoff.G. and Rota G. Ordinary differential equations. John wiley&sons New York: 342 pp. QA372.B58 (1978).
- Bracewel.R. The fourier transform and its application (second edition). McGaw Hill. New York: 444 pp. QA403.5.B7 (1978).
- Belirsch.R, Bemerkungen zur romberg-integration, Numerische Mathematik 6.6.16 (1964).
- Fehlberg.E., New high-order Runge-Kutta formulas with step-size control for systems of first-and second-order differential equations, Zeitschrift für angewandte mathematic and mechanic.44.17-29. (1964).
- Gladwell.I. and R.Wait. A survey of numerical methods for partial differential equations. Oxford university pres; 424 pp. QA377. S96 (1979).
- Golub,G.H,and Van Loan C.F. Matrix computations, John Hopkins university press Baltimore; 476 pp. QA188. G65 (1963)