Tài liệu Two Point Boundary Value Problems part 7 docx

... Press), pp. 129ff. 17. 6 Handling 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 ... 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) 78 6 Chapter 17. Two Point Boundary Value Problems S...

Ngày tải lên: 21/01/2014, 18:20

... 76 0 Chapter 17. Two Point Boundary Value Problems Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... 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 (x2) are ... N components y i . In those cases, ( 17. 2.3) i...

Ngày tải lên: 24/12/2013, 12:16

... http://www.nr.com or call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 17. Two Point Boundary Value Problems 17. 0 Introduction When ordinarydifferentialequations ... conditions are specified at endpoints, others at interior (usually singular) points. The crucial distinction between initial value problems (Chapter 1...

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. 75 8 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 bounda...

Ngày tải lên: 24/12/2013, 12:16

... internally by solvde . { int loff,l,j,ic,i; float vx; loff=jc1-jm1; ic=ic1; 77 2 Chapter 17. Two Point Boundary Value Problems Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... 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 solution being ma...

Ngày tải lên: 24/12/2013, 12:16

... x k−1 ) 2 4 ( 17. 4.25) β k = h 1 − 1 4 (x k + x k−1 ) 2 ( 17. 4.26) Finally, equation ( 17. 4. 17) gives E 3,k = y 3,k − y 3,k−1 ( 17. 4. 27) 77 6 Chapter 17. Two Point Boundary Value Problems Sample page from NUMERICAL RECIPES ... we must have the symmetric solution. Thus y mn (−x)=(−1) n−m y mn (x)( 17. 4.6) 77 4 Chapter 17. Two Point Boundary Value Problems Sample pa...

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 ... Between any two mesh points we have ∆q =1. In the change of independentvariable in the ODEs from x to q, dy dx = g ( 17. 5.1) becomes dy dq = g dx dq ( 17. 5.2) In terms of q, equation ( 17...

Ngày tải lên: 21/01/2014, 18:20

... 17 Microsoft Office Professional Plus 2010 is required to view SharePoint 2010 My Site social data. Connecting to a third-party social network requires an add-in provided by that social network. ... friends and colleagues. See status updates from third-party social networks, recently posted files—even view shared photos.  Connect to SharePoint My Site social information and receive u...

Ngày tải lên: 14/12/2013, 14:15

... and touch on the major points of the essay? ■ Does your writing flow? Does it follow a logical progression, with each paragraph and point made in the right place? ■ Are the points you make supported ... information faster and with equal weight on each part. In addition to helping to convey your voice and personality, commas are often misused. There are two common errors that all college...

Ngày tải lên: 15/12/2013, 02:15