Integration of Functions part 1

... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission ... as in the case of interpolation (Chapter 3), one has the freedom to choose methods 12 9 13 0 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C:...

Ngày tải lên: 07/11/2013, 19:15

... 2 f N 1  +O  1 N 2  (4 .1. 15) Equations (4 .1. 8) and (4 .1. 12) give  x N x 1 f(x)dx = h  23 12 f 2 + 7 12 f 3 + f 4 + f 5 + ···+f N−3 + 7 12 f N −2 + 23 12 f N 1  + O  1 N 3  (4 .1. 16) Equations ... schemes. The extended formula of order 1/ N 3 is:  x N x 1 f(x)dx = h  5 12 f 1 + 13 12 f 2 + f 3 + f 4 + ···+f N−2 + 13 12 f N 1 + 5 12 f N  + O  1 N 3...

Ngày tải lên: 07/11/2013, 19:15

... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission ... parabolic 396 Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyr...

Ngày tải lên: 15/12/2013, 04:15

... formulas of higher order for this situation, but we will refrain from giving them. The semi-open formulas arejusttheobviouscombinations ofequations(4 .1. 11) – (4 .1. 14) with (4 .1. 15)–(4 .1. 18), respectively. ... function t e t − 1 = ∞  n=0 B n t n n! (4.2.2) with the first few even values (odd values vanish except for B 1 = 1/ 2) B 0 =1 B 2 = 1 6 B 4 =− 1 30 B 6 = 1 42 B 8...

Ngày tải lên: 15/12/2013, 04:15

... 14 0 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University ... Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying o...

Ngày tải lên: 15/12/2013, 04:15

... with (4 .1. 11) the “deep” property 14 2 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by ... Integrals 14 1 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University Press.P...

Ngày tải lên: 15/12/2013, 04:15

... for k =1, 2, ,N − 1, compute σ k,l = σ k 1, l +1 − (a k 1 − α l )σ k 1, l − b k 1 σ k−2,l + β l σ k 1, l 1 l = k, k +1, ,2N−k 1 a k =α k − σ k 1, k σ k 1, k 1 + σ k,k +1 σ k,k b k = σ k,k σ k 1, k 1 (4.5.34) Note ... { sig[k][l]=sig[k -1] [l +1] +(alpha[l -1] -a[k-2])*sig[k -1] [l]- b[k-2]*sig[k-2][l]+beta[l -1] *sig[k -1] [l -1] ; } a[k -1] =alpha[k -1] +sig[k][k +1] /sig[k][k]-sig[...

Ngày tải lên: 15/12/2013, 04:15

... Nauk SSSR , vol. 15 4, pp. 283–286 (in Russian). [11 ] Patterson, T.N.L. 19 68, Mathematics of Computation , vol. 22, pp. 847–856 and C1–C 11; 19 69, op. cit. , vol. 23, p. 892. [12 ] Piessens, R., ... Integrals 16 1 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copy...

Ngày tải lên: 15/12/2013, 04:15

Ngày tải lên: 15/12/2013, 04:15

... in 2 012 . Book 1 tells the story of five pieces of the Seal of Solomon Book 1- Part 1- The Beginning of an End October 1, 2 012 . 81 days remaining 1. Another plane landed on the ... consist of 6 best people, Arthur could find. Their main aim is to find 5 pieces of the Seal of Solomon, so they can stop the demon that is responsible for the end of the world in 2 012...

Ngày tải lên: 06/11/2012, 16:13