Tài liệu Partial Differential Equations part 4 ppt

... U m (u n+(m−1)/m , ∆t) (19.3.20) 8 54 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 ... 856 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 by Cambrid...

Ngày tải lên: 15/12/2013, 04:15

... 848 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 ... Planck’s constant ¯h =1and the particle mass m =1/2.) One is given the initial wavepacket, ψ(x, t =0), together with boundary 852 Chapter 19. Partial Differential Equations Sample page from NUMERICAL ... high-or...

Ngày tải lên: 15/12/2013, 04:15

... systems. In practice, equations (19 .4. 33) should be rewritten to avoid numerical instabil- ity. For these and other practical details, refer to [2] . 860 Chapter 19. Partial Differential Equations Sample ... Similarly, ρ jl = 1 JL J−1  m=0 L−1  n=0 ρ mn e −2πijm/J e −2πiln/L (19 .4. 3) If we substitute expressions (19 .4. 2) and (19 .4. 3) in our model problem (19.0.6), we find u...

Ngày tải lên: 15/12/2013, 04:15

... elliptic equation Lu = ρ (19.5.1) 8 64 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 ... can only give a brief 868 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (...

Ngày tải lên: 15/12/2013, 04:15

... (19.6 .45 ) Since ∂L ∂u i,j = 4/ h 2 +2u i,j (19.6 .46 ) the Newton Gauss-Seidel iteration is u new i,j = u i,j − L(u i,j ) 4/ h 2 +2u i,j (19.6 .47 ) Here is a routine mgfasthat solves equation (19.6 .44 ) ... star L h = 1 h 2   010 1 41 010   (19.6.19) 888 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-...

Ngày tải lên: 24/12/2013, 12:16

... implement (16.3 .4) , since we will soon do even better. Now would be a good time to look back at the routine qsimp in 4. 2, and especially to compare equation (4. 2 .4) with equation (16.3 .4) above. You ... most important application as a part of the more powerful Bulirsch-Stoer technique, treated in §16 .4. You can therefore consider this section as a preamble to §16 .4. The number of r...

Ngày tải lên: 24/12/2013, 12:16

... antibiotics from microbes found either inside the intestines of the amber-encased insects or in soil particles trapped with them when they were caught by sticky tree resin up to 130 million years ago. ... to find out how (3) the antibiotics will be. Microbes that seem to have the characteristics of (4) diseases will have to be killed. It is thought that a (5) molecule could lead to a whole se...

Ngày tải lên: 13/12/2013, 21:15

... Service PO Box 6151 Princeton, NJ 08 541 -6151 USA Checks must be made payable to ETS-TOEFL/TSE. In Canada, add GST/HST (Reg. No. 13 141 446 8 RT) and QST (Reg. No. 1087967 545 ) to total remittance. It is ... for department name blank • write 00 in the boxes for department code If you plan to study at the graduate level • look at the Department Code list in the Bulletin • find the name of t...

Ngày tải lên: 13/12/2013, 22:15

... 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. ... fit.} fit(xx,yy,nn,ww,1,&dum1,b,&dum2,&dum3,&dum4,&dum5); Trial fit for b. offs=ang[1]=0.0; Construct several angles for refer- ence points, and make b an an- gle. an...

Ngày tải lên: 15/12/2013, 04:15

... (5.3.2) where A, B, C, D, and E are to be precomputed by A =(a 4 ) 1 /4 B= a 3 −A 3 4A 3 D=3B 2 +8B 3 + a 1 A−2a 2 B A 2 C = a 2 A 2 −2B−6B 2 −D E =a 0 −B 4 −B 2 (C+D)−CD (5.3.3) ... an extra addition. For example, the polynomial P (x)=a 0 +a 1 x+a 2 x 2 +a 3 x 3 +a 4 x 4 (5.3.1) where a 4 > 0, can be evaluated with 3 multiplications and 5 additions as follows: P (x)=[(Ax ... A...

Ngày tải lên: 15/12/2013, 04:15