Tài liệu Two Point Boundary Value Problems part 3 docx

... 760 Chapter 17. Two Point Boundary Value Problems Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge ... f[]) Routine for use with newt to solve a two point boundary value problem for nvar coupled ODEs by shooting from x1 and x2 to a fitting point xf . Initial values for the nvar ODEs at x1 (x...

Ngày tải lên: 24/12/2013, 12:16

... Internal Boundary Conditions or Singular Points Singularities can occur in the interiors of two point boundary value problems. Typically, there is a point x s at which a derivative must be evaluated ... required to pass through zero at some unknown point x s .Weadd the equation z ≡ x s − x 1 dz dx =0 (17.6 .3) 786 Chapter 17. Two Point Boundary Value Problems Sample...

Ngày tải lên: 21/01/2014, 18:20

... conditions are specified at endpoints, others at interior (usually singular) points. The crucial distinction between initial value problems (Chapter 16) and two point boundary value problems (this chapter) ... by far is where boundaryconditions are supposed to be satisfied at two points — usually the starting and ending values of the integration. However, the phrase two point...

Ngày tải lên: 24/12/2013, 12:16

... function score which uses (17.0 .3) to convert an N-vector of ending values y(x 2 ) into an n 2 -vector of discrepancies F. 758 Chapter 17. Two Point Boundary Value Problems Sample page from NUMERICAL ... n 2 for the partial derivatives. Each new cycle requires a new round of n 2 +1 integrations. This illustrates the enormous extra effort involved in solving two point boundary...

Ngày tải lên: 24/12/2013, 12:16

... Methods for Two- Point Boundary- Value Problems (Waltham, MA: Blaisdell). Stoer, J., and Bulirsch, R. 1980, Introduction to Numerical Analysis (New York: Springer-Verlag), §§ 7 .3. 5–7 .3. 6. [1] 17 .3 Relaxation ... are boundary value problems where even shooting to a fitting point fails — the integration interval has to be partitioned by several fitting points with the soluti...

Ngày tải lên: 24/12/2013, 12:16

... -1.0-0.5*temp*(mm+1.0)*temp1; s[2][indexv [3] ]=0.25*temp*(y[1][k]+y[1][k-1]); s[2] [3+ indexv[1]]=s[2][indexv[1]]; s[2] [3+ indexv[2]]=2.0+s[2][indexv[2]]; s[2] [3+ indexv [3] ]=s[2][indexv [3] ]; s [3] [indexv[1]]=0.0; Equation (17.4 .30 ). s [3] [indexv[2]]=0.0; s [3] [indexv [3] ] = -1.0; s [3] [3+ indexv[1]]=0.0; s [3] [3+ indexv[2]]=0.0; s [3] [3+ indexv [3] ]=1.0; s[1][jsf]=y[1][k]-y[1...

Ngày tải lên: 21/01/2014, 18:20

... 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). 17.5 Automated Allocation of Mesh Points In relaxation problems, you have to choose values for ... 17.5 Automated Allocation of Mesh Points 7 83 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge University ......

Ngày tải lên: 21/01/2014, 18:20

Ngày tải lên: 13/12/2013, 19:15

Ngày tải lên: 13/12/2013, 19:15

... and returning calls from my home. If you have an urgent problem, you can call my partner, Robin Sitwell, at 32 0-1 631 . Have a great day. 16. ____ When will the man return to the office? Explanation: ... weekend. F: What time will it open Monday? M: It isn’t open at all then — Monday is a holiday. 3. ____ M: Has the 7 :30 showing of the movie started yet? F: Yes, sir, about ten minutes ag...

Ngày tải lên: 14/12/2013, 10:15