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