Tài liệu Integration of Ordinary Differential Equations part 7 pptx

... 6.02015 272 865 #define C32 0.15 975 0684 673 #define C41 -1.856343618 677 #define C42 -8.50538085819 #define C43 -2.084 075 13602 #define B1 3.9 575 0 374 663 #define B2 4.62489238836 #define B3 0.6 174 772 63 873 #define B4 ... those of Shampine simply by replacing the #define statements: #define GAM 0.231 #define A21 2.0 #define A31 4.52 470 82 073 6 #define A32 4.16352 878 860 #defin...

Ngày tải lên: 24/12/2013, 12:16

... Springer-Verlag), Chapter 7. Lambert, J. 1 973 , Computational Methods in Ordinary Differential Equations (New York: Wiley). Lapidus, L., and Seinfeld, J. 1 971 , Numerical Solution of Ordinary Differential Equations (New York: ... 71 0 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTI...

Ngày tải lên: 15/12/2013, 04:15

... odeint are drivers. Section 16.6 of this chapter treats the subject of stiff equations, relevant both to ordinary differential equations and also to partial differential equations (Chapter 19). ... 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 16. Integration of Ordinary Differential Equations 16.0 Intro...

Ngày tải lên: 15/12/2013, 04:15

... 0 3 3 10 3 40 9 40 250 621 18 575 48384 4 3 5 3 10 − 9 10 6 5 125 594 13525 55296 5 1 − 11 54 5 2 − 70 27 35 27 0 277 14336 6 7 8 1631 55296 175 512 575 13824 44 275 110592 253 4096 512 177 1 1 4 j =12345 Now ... -70 .0/ 27. 0,b54=35.0/ 27. 0, b61=1631.0/55296.0,b62= 175 .0/512.0,b63= 575 .0/13824.0, b64=44 275 .0/110592.0,b65=253.0/4096.0,c1= 37. 0/ 378 .0, c3=250.0/621.0,c4...

Ngày tải lên: 24/12/2013, 12:16

... 72 2 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... pp. 201– 222. [2] Shampine, L.F., and Watts, H.A. 1 977 , in Mathematical Software III , J.R. Rice, ed. (New York: Academic Press), pp. 2 57 275 ; 1 979 , Applied Mathematics and Computation ,vol.5, pp. ... C.W...

Ngày tải lên: 24/12/2013, 12:16

... 72 4 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... +H,whereHissupposed to be quite a large 72 6 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)...

Ngày tải lên: 24/12/2013, 12:16

... 73 2 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... vol. 27, pp. 505–535. [3] 16.5 Second-Order Conservative Equations Usually when you have a system of high-order differential equations to solve it is best to reformulate them as a system of first-order...

Ngày tải lên: 24/12/2013, 12:16

... Predictor-corrector methods have been, we think, squeezed 74 8 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... steps, adjusting the stepsize is difficult. 75 0 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES...

Ngày tải lên: 24/12/2013, 12:16

... x. 2.5 Iterative Improvement of a Solution to Linear Equations Obviously it is not easy to obtain greater precision for the solution of a linear set than the precision of your computer’s floating-point ... Unfortunately, for large sets of linear equations, it is not always easy to obtain precision equal to, or even comparable to, the computer’s limit. In direct methods of solution...

Ngày tải lên: 24/12/2013, 12:16

... also be aware of some of the special sparse forms that occur in the solutionof partial differential equations in two or more dimensions. See Chapter 19. If your particular pattern of sparsity is ... making the same permutation of the columns of U,elementsofW,andcolumnsofV(or rows of V T ), or (ii) forming linear combinations of any columns of U and V whose corresponding el...

Ngày tải lên: 24/12/2013, 12:16