Tài liệu Partial Differential Equations part 6 doc

... common, it is clear that the Jacobi method is only of theoretical interest. 866 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... somewhat more physical. Suppose we wish to solve the elliptic equation Lu = ρ (19.5.1) 864 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE...

Ngày tải lên: 15/12/2013, 04:15

... (19 .6. 15) and H =2h. You will find that (Rv h ) (x,y) = 1 4 v h (x, y)+ 1 8 v h (x+h, y)+ 1 16 v h (x + h, y + h)+··· (19 .6. 16) so that the symbol of R is    1 16 1 8 1 16 1 8 1 4 1 8 1 16 1 8 1 16    (19 .6. 17) Note ... ··· =(H 2 −h 2 )τ 2 +O(h 4 ) (19 .6. 38) For the usual case of H =2hwe therefore have τ  1 3 τ h  1 3 τ h (19 .6. 39) The stopping criterion is thus e...

Ngày tải lên: 24/12/2013, 12:16

... =1− 4D∆t (∆x) 2 sin 2  k∆x 2  (19.2.5) The requirement |ξ|≤1leads to the stability criterion 2D∆t (∆x) 2 ≤ 1(19.2 .6) 848 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... (19.2. 26) (Here we have chosen units so that Planck’s constant ¯h =1and the particle mass m =1/2.) One is given the initial wavepacket, ψ(x, t...

Ngày tải lên: 15/12/2013, 04:15

... Methods for Partial Differential Equations , 2nd ed. (New York: Academic Press), Chapter 2. Goldberg, A., Schey, H.M., and Schwartz, J.L. 1 967 , American Journal of Physics , vol. 35, pp. 177–1 86. [1] Galbraith, ... accurate in time and space, and unconditionally stable, but the equations are easier to solve than 8 56 Chapter 19. Partial Differential Equations Sample page fro...

Ngày tải lên: 15/12/2013, 04:15

... Helmholtz or Poisson equations in polar, cylindrical,or spherical coordinate systems. More general separable equations are treated in [1] . 862 Chapter 19. Partial Differential Equations Sample page ... discrete case, we have u H jl = 2 L L−1  n=1 A n sinh πnj J sin πnl L (19.4.13) 860 Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE...

Ngày tải lên: 15/12/2013, 04:15

... vocabulary and other questions that require you to view parts of the passage are generally presented in order. When questions that require you to review parts of the passage are asked, the area of the ... pronoun refers. ■ Click the sentence in which a particular subject is discussed. In this type of question, you’re asked to identify where in the passage a particular issue is presented. ■ Cl...

Ngày tải lên: 14/12/2013, 18:15

... address: Fax No: 17 Westmead Road, Annandale (2) Phone No: 02 579 63 63 after 5:00 p.m. (3) » Questions 4 -6 Circle the correct answer A-Dfor each question. 4 Why does the caller ... interest 5 How long can the caller have the books after the date of posting? A 3 weeks B 6 weeks 6 How will the caller pay the fees? A credit card B cheque 5 weeks 2 weeks C D...

Ngày tải lên: 15/12/2013, 09:15

... duyệt và server sẽ giới hạn độ dài của địa chỉ URL sử dụng để gửi dữ liệu tới server. Tóm lại, dùng GET để truy lục dữ liệu từ server; hay nói cách khác tránh được việc thay đổi trạng thái ... tương tự như ASP.NET, JSP, hay PHP… 4. Server xử lí các yêu cầu, chẳng hạn như truy cập cơ sở dữ liệu hay một tác vụ hệ thống nào đấy. 5. Response được trả về cho trình duyệt. Trường Content-...

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