Tài liệu Evaluation of Functions part 4 pptx

... 2 of The Art of Computer Programming (Reading, MA: Addison-Wesley), § 4. 6. [3] Fike, C.T. 1968, Computer Evaluation of Mathematical Functions (Englewood Cliffs, NJ:Prentice- Hall), Chapter 4. Winograd, ... int mm, int kk) Given mm , kk ,and cof[0 mm+kk] , evaluate and return the rational function ( cof[0] + cof[1]x + ···+ cof[mm]x mm )/(1 + cof[mm+1]x + ···+ cof[mm+kk]x kk ). {...

Ngày tải lên: 15/12/2013, 04:15

... as good as other methods. 170 Chapter 5. Evaluation of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 by Cambridge ... MA: W.A. Benjamin/Addison-Wesley), § 2.3. [2] 5.2 Evaluation of Continued Fractions Continued fractions are often powerful ways of evaluating functions that occur in scientific a...

Ngày tải lên: 15/12/2013, 04:15

... combination of J 0 and J 1 , which are of order unity. 180 Chapter 5. Evaluation of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright ... pp. 33 49 . Knuth, D.E. 1981, Seminumerical Algorithms , 2nd ed., vol. 2 of The Art of Computer Programming (Reading, MA: Addison-Wesley) [see solutions to exercises 4. 2.1.1...

Ngày tải lên: 24/12/2013, 12:16

... degree of approximation (length of c to be used), this routine returns the array cint[0 n-1] ,the Chebyshev coefficients of the integral of the function whose coefficients are c . The constant of integration ... routine chebft §5.8,andgiven n , the desired degree of approximation (length of c to be used), this routine returns the array cder[0 n-1] ,the Chebyshev coefficients of the...

Ngày tải lên: 24/12/2013, 12:16

... vol. 86, pp. 149 –155; see also vol. 95, p. 1300 (1988). [3] Lybanon, M. 19 84, American Journal of Physics , vol. 52, pp. 22–26. [4] York, D. 1966, Canadian Journal of Physics , vol. 44 , pp. 1079–1086. ... float *xx,*yy,*sx,*sy,*ww,aa,offs; float chixy(float bang) Captive function of fitexy , returns the value of (χ 2 − offs ) for the slope b=tan(bang) . Scaled data and offs are...

Ngày tải lên: 15/12/2013, 04:15

... 4. 4 Improper Integrals 141 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 by Cambridge ... qromb, in such circumstances, takes many, many fewer function evaluations than either of the routines in 4. 2. For example, the integral  2 0 x 4 log(x +  x 2 +1)dx converges (with parameters as shown ... trapzd, while...

Ngày tải lên: 15/12/2013, 04:15

... 1-800-872- 742 3 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). #include <math.h> #define EPS 3.0e- 14 Relative precision. #define PIM4 0.751125 544 4 649 425 1/π 1 /4 . #define ... used. 0.67 940 95682,0.8650633666,0.9739065285}; static float w[]={0.0,0.2955 242 247 ,0.2692667193, 0.2190863625,0. 149 451 349 1,0.066671 344 3}; xm=0.5*(b+a); xr=0.5...

Ngày tải lên: 15/12/2013, 04:15

... Course in Numerical Analysis , 2nd ed. (New York: McGraw-Hill), §§ 4. 4 4. 8. 4. 6 Multidimensional Integrals Integrals of functions of several variables, over regions with dimension greater than one, ... y), H(x) ≡  y 2 (x) y 1 (x) G(x, y)dy (4. 6.5) and finally our answer as an integral over H(x) I =  x 2 x 1 H(x)dx (4. 6.6) In an implementation of equations (4. 6 .4) – (4. 6.6),...

Ngày tải lên: 15/12/2013, 04:15

Ngày tải lên: 15/12/2013, 04:15

... large x. Accelerating the Convergence of Series There are several tricks for accelerating the rate of convergence of a series (or, equivalently, of a sequence of partial sums). These tricks will not ... Similarly, the form of the coefficients a is often such as to make use of previous work: Terms like k! or (2k)! can be updated in a multiply or two. 165 168 Chapter 5. Evaluation...

Ngày tải lên: 15/12/2013, 04:15