Interpolation and Extrapolation part 6

... coefficients is a good idea? CITED REFERENCES AND FURTHER READING: Isaacson, E., and Keller, H.B. 1 966 , Analysis of Numerical Methods (New York: Wiley), § 5.2. 3 .6 Interpolation in Two or More Dimensions ... 3 .6. 1). More precisely, if x1a[j] ≤ x 1 ≤ x1a[j+1] x2a[k] ≤ x 2 ≤ x2a[k+1] (3 .6. 2) defines j and k,then y 1 ≡ya[j][k] y 2 ≡ ya[j+1][k] y 3 ≡ ya[j+1][k+1] y 4 ≡ ya[j][k+1] (3...

Ngày tải lên: 24/10/2013, 15:15

... Cliffs, NJ: Prentice-Hall), § 6. 2. Cuyt, A., and Wuytack, L. 1987, Nonlinear Methods in Numerical Analysis (Amsterdam: North- Holland), Chapter 3. 3.3 Cubic Spline Interpolation Given a tabulated ... function y i = y(x i ),i=1...N, focus attention on one particular interval, between x j and x j+1 . Linear interpolation in that interval gives the interpolation formula y = Ay j + By...

Ngày tải lên: 17/10/2013, 22:15

... attention on one particular interval, between x j and x j+1 . Linear interpolation in that interval gives the interpolation formula y = Ay j + By j+1 (3.3.1) 114 Chapter 3. Interpolation and Extrapolation ... A and B are defined in (3.3.2) and C ≡ 1 6 (A 3 − A)(x j+1 − x j ) 2 D ≡ 1 6 (B 3 − B)(x j+1 − x j ) 2 (3.3.4) Notice that the dependence on the independent variable x...

Ngày tải lên: 20/10/2013, 17:15

... you have decided to use some particular interpolation scheme, such as fourth-order polynomial interpolation, to compute a function f(x) from a set of tabulated x i ’s and f i ’s. Then you will need ... equation: Most differential-equation integrators, as we shall see in Chapter 16, call 118 Chapter 3. Interpolation and Extrapolation Sample page from NUMERICAL RECIPES IN C: THE ART...

Ngày tải lên: 20/10/2013, 17:15

... 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, -3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0, 2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1, 0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1, -3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0, 9,-9,9,-9 ,6, 3,-3, -6, 6, -6, -3,3,4,2,1,2, -6, 6...

Ngày tải lên: 07/11/2013, 19:15

... = π, and otherwise takes on all positive and negative values. Any interpolation based on the values x =3.13, 3.14, 3.15, 3. 16, will assuredly get a very wrong answer for the value x =3.14 16, even ... (§3.2). Trigonometric functions, sines and cosines, give rise to trigonometric interpolation and related Fourier methods, which we defer to Chapters 12 and 13. There is an extensi...

Ngày tải lên: 21/01/2014, 18:20

... Multidimensional interpolation is often accomplished by a sequence of one-dimensional interpolations. We discuss this in §3 .6. CITED REFERENCES AND FURTHER READING: Abramowitz, M., and Stegun, I.A. 1 964 , Handbook ... REFERENCES AND FURTHER READING: Abramowitz, M., and Stegun, I.A. 1 964 , Handbook of Mathematical Functions , Applied Mathe- matics Series, Volume 55 (Washington: N...

Ngày tải lên: 26/01/2014, 15:20

Ngày tải lên: 20/10/2013, 03:15

Ngày tải lên: 14/12/2013, 13:15

... critical reaction and disapproval from others in the particular society. 4. The islanders are ; they are either out at work or working at home. 5. They tend to be young, energetic, and , but so ... summer and are at all times most and handsome. 3. The real power of computerised data a deeper, more sophisticated analysis of the information which already exists. 4. Photographs...

Ngày tải lên: 20/01/2014, 16:20