Tài liệu Integration of Ordinary Differential Equations part 5 pdf

... 724 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... quite a large 726 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyrig...

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... pp. 50 5 53 5. [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 equations, ... 732 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)...

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... stepsize is difficult. 750 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... think, squeezed 748 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...

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... America). Chapter 16. Integration of Ordinary Differential Equations 16.0 Introduction Problems involving ordinary differential equations (ODEs) can always be reduced to the study of sets of first-order differential ... odeint are drivers. Section 16.6 of this chapter treats the subject of stiff equations, relevant both to ordinary differential equations and al...

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... 710 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... about the 712 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (...

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... a i b ij c i c ∗ i 1 37 378 28 25 27648 2 1 5 1 5 0 0 3 3 10 3 40 9 40 250 621 1 857 5 48384 4 3 5 3 10 − 9 10 6 5 1 25 594 1 352 5 55 296 5 1 − 11 54 5 2 − 70 27 35 27 0 277 14336 6 7 8 1631 55 296 1 75 512 57 5 13824 442 75 11 059 2 253 4096 51 2 1771 1 4 j ... -70.0/27.0,b54= 35. 0/27.0, b61=1631.0 /55 296.0,b62=1 75. 0 /51 2.0,b63 =57 5.0/13824.0, b64=442 75. 0/...

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... 722 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... Initial Value 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...

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... READING: Deuflhard, P. 19 85, SIAM Review , vol. 27, pp. 50 5 53 5. 16.6 Stiff Sets of Equations As soon as one deals with more than one first-order differential equation, the possibility of a stiff set of equations ... -5. 0716 753 3877 #define C31 6.020 152 728 65 #define C32 0. 159 750 684673 #define C41 -1. 856 343618677 #define C42 -8 .50 5380 858 19 #define C43 -2.0840 751...

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... elimination. 42 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by Cambridge ... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes So...

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... 50 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... and Johnson, C.R. 19 85, Matrix Analysis (Cambridge: Cambridge University Press). 2.4 Tridiagonal and Band Diagonal Systems of Equations The special case of a system of linear equations that is tri...

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