Tài liệu Integration of Ordinary Differential Equations part 2 pptx

... about the 7 12 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 (C) 1988-19 92 by Cambridge ... 710 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: 15/12/2013, 04:15

... (1.0 /2. 0) #define A21 2. 0 #define A31 (48.0 /25 .0) #define A 32 (6.0 /25 .0) #define C21 -8.0 #define C31 (3 72. 0 /25 .0) #define C 32 ( 12. 0/5.0) #define C41 (-1 12. 0/ 125 .0) #define C 42 (-54.0/ 125 .0) #define ... 4. 624 8 923 8836 #define B3 0.61747 726 3873 #define B4 1 .28 26 129 4 526 8 #define E1 -2. 3 021 554 029 2 #define E2 -3.07363448539 #define E3 0.87 328 08018 02 #...

Ngày tải lên: 24/12/2013, 12:16

... 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). ... involving ordinary differential equations (ODEs) can always be reduced to the study of sets of first-order differential equations. For example the second-order equation...

Ngày tải lên: 15/12/2013, 04:15

... 0 3 3 10 3 40 9 40 25 0 621 18575 48384 4 3 5 3 10 − 9 10 6 5 125 594 13 525 5 529 6 5 1 − 11 54 5 2 − 70 27 35 27 0 27 7 14336 6 7 8 1631 5 529 6 175 5 12 575 13 824 4 427 5 1105 92 253 4096 5 12 1771 1 4 j = 123 45 Now ... -0.9,b43=1 .2, b51 = -11.0/54.0, b 52= 2.5,b53 = -70.0 /27 .0,b54=35.0 /27 .0, b61=1631.0/5 529 6.0,b 62= 175.0/5 12. 0,b63=575.0/13 824 .0, b64=4 427 5...

Ngày tải lên: 24/12/2013, 12:16

... 722 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 (C) 1988-19 92 by Cambridge ... Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). [1] Cash, J.R., and Karp, A.H. 1990, ACM Transactions on Mathematical Software , vol. 16, p...

Ngày tải lên: 24/12/2013, 12:16

... the sequence n =2, 4,6,8, 12, 16, 24 , 32, 48, 64, 96, ,[n j =2n j 2 ], (16.4.1) More recent work by Deuflhard [2, 3] suggests that the sequence n =2, 4,6,8,10, 12, 14, ,[n j =2j], (16.4 .2) is usually ... large 726 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 521 -43108-5) Copyrig...

Ngày tải lên: 24/12/2013, 12:16

... 7 32 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 (C) 1988-19 92 by Cambridge ... 41, pp. 399– 422 . [2] Deuflhard, P. 1985, SIAM Review , vol. 27 , pp. 505–535. [3] 16.5 Second-Order Conservative Equations Usually when you have a system of high-order dif...

Ngày tải lên: 24/12/2013, 12:16

... squeezed 748 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 (C) 1988-19 92 by Cambridge ... difficult. 750 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 521 -...

Ngày tải lên: 24/12/2013, 12:16

... equation   a 11 a 12 a 13 a 14 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 a 41 a 42 a 43 a 44   ·     x 11 x 21 x 31 x 41      x 12 x 22 x 32 x 42      x 13 x 23 x 33 x 43      y 11 y 12 y 13 y 14 y 21 y 22 y 23 y 24 y 31 y 32 y 33 y 34 y 41 y 42 y 43 y 44     =     b 11 b 21 b 31 b 41      b 12 b 22 b 32 b 42...

Ngày tải lên: 15/12/2013, 04:15

... + δx)=b+δb (2. 5 .2) Subtracting (2. 5.1) from (2. 5 .2) gives A · δx = δb (2. 5.3) 56 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC ... 2. 5 Iterative Improvement of a Solution to Linear Equations 55 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 521 -43108-5) Copyright (C) 19...

Ngày tải lên: 24/12/2013, 12:16