Tài liệu Integration of Functions part 5 docx

... rest of the routine is exactly like midpnt and is omitted. 142 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... 146 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by C...

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... Cliffs, NJ: Prentice-Hall), § 5. 3. 138 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by ... twice the magnitude of the first neglected term. The reason that it is not convergent is that the Bernoulli numbers become very large, e.g., B 50 = 4 950 572 052 4107964821247 75...

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... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission ... while qsimp requires 8 calls (8 times as many evaluations of the integrand) and qtrap requires 13 calls (making 256 times as many evaluations of the integrand). CITED REFERENCES AND F...

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... polynomial of one lower order. z1=z; z=z1-p1/pp; Newton’s formula. 156 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... formula  x 2 x 1 f(x)dx = N  j=1 w j f(x j )(4 .5. 17) 150 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIEN...

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... Addison- Wesley), § 6.2 .5, p. 307. Abramowitz, M., and Stegun, I.A. 1964, Handbook of Mathematical Functions , Applied Mathe- matics Series, Volume 55 (Washington: National Bureau of Standards; reprinted ... Current values of x and y, and the pointer to your function func, are passed “over the head” of the intermediate calls through static top-level variables. 164 Chapter 4. Inte...

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Ngày tải lên: 15/12/2013, 04:15

... nP n−1 (x) (5. 5.1) J n+1 (x)= 2n x J n (x)−J n−1 (x) (5. 5.2) nE n+1 (x)=e −x −xE n (x) (5. 5.3) cos nθ =2cosθcos(n − 1)θ − cos(n − 2)θ (5. 5.4) sin nθ =2cosθsin(n − 1)θ − sin(n − 2)θ (5. 5 .5) where ... δ)=sinθ−[αsin θ − β cos θ] (5. 5.6) 176 Chapter 5. Evaluation of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyrigh...

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... namely ( cof[0] + cof[1] x + ···+ cof[n] x N )/(1 + cof[n+1] x + ···+ 5. 12 Pad´e Approximants 203 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... ···+q k x k i ) i=1,2, ,m+k+1 (5. 13.4) 202 Chapter 5. Evaluation of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -...

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... 192 Chapter 5. Evaluation of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by Cambridge ... k,j; float fac,bpa,bma,*f; 190 Chapter 5. Evaluation of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by Cambridge .....

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... simplex method of linear programming, 412 Chapter 10. Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... Methods That Work ; 1990, corrected edition (Washington: Mathe- matical Association of America), pp. 55 ; 454 – 458 . [1] Brent, R.P. 1973, Algorithms for Minimization without...

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