NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
Tài liệu Integration of Ordinary Differential Equations part 1 doc
... 708 Chapter 16 Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge ... drivers Section 16 .6 of this chapter treats the subject of stiff equations, relevant both to ordinary differential equations and also to partial differential equ...
Ngày tải lên: 15/12/2013, 04:15
Tài liệu Integration of Ordinary Differential Equations part 2 pptx
... http://www.nr.com or call 1-800-8 72- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) x2 x1 7 12 Chapter 16 Integration of Ordinary Differential Equations yn yn + Figure ... yout[i]=y[i]+h6*(dydx[i]+dyt[i] +2. 0*dym[i]); weights free_vector(yt,1,n); free_vector(dyt,1,n); free_vector(dym,1,n); 714 Chapter 16 Integration of Ordinary Diff...
Ngày tải lên: 15/12/2013, 04:15
Tài liệu Integration of Ordinary Differential Equations part 3 doc
... Method i ci bij 1 5 3 10 40 40 10 − 10 5 − 11 54 − 70 27 35 27 1 631 55296 175 512 575 138 24 44275 110592 2 53 4096 2825 27648 j= 0 250 621 18575 4 838 4 125 594 135 25 55296 277 1 433 6 512 1771 Now that ... b51 = -11.0/54.0, b52=2.5,b 53 = -70.0/27.0,b54 =35 .0/27.0, b61=1 631 .0/55296.0,b62=175.0/512.0,b 63= 575.0/ 138 24.0, b64=44275.0/110592.0,b65=2 53. 0/4096.0,c1 =37 .0 /37 8.0,...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 4 ppt
... powers of h, 7 24 Chapter 16 Integration of Ordinary Differential Equations } CITED REFERENCES AND FURTHER READING: Gear, C.W 1971, Numerical Initial Value Problems in Ordinary Differential Equations ... compare equation (4. 2 .4) with equation (16.3 .4) above You will see that the transition in Chapter to the idea of Richardson extrapolation, as embodied in Romberg inte...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall), §6.2 Deuflhard, P 1983, Numerische Mathematik, vol 41, pp 399–422 [2] Deuflhard, P 19 85, SIAM Review, vol 27, pp 50 5 53 5 ... method a degree of robustness for problems with discontinuities Let us remind you once again that scaling of the variables is often crucial for successful integration of different...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... Chapter 16 Integration of Ordinary Differential Equations Note that for compatibility with bsstep the arrays y and d2y are of length 2n for a system of n second-order equations The values of y are ... = ( 16. 6.2) v = −y + z ( 16. 6.3) By means of the transformation u = 2y − z we find the solution u = 2e−x − e−1000x v = −e−x + e−1000x ( 16. 6.4) If we integrated the system...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 7 pptx
... 4.52 470 82 073 6 A32 4.16352 878 860 C21 -5. 071 675 33 877 C31 6.02015 272 865 C32 0.15 975 0684 673 C41 -1.856343618 677 C42 -8.50538085819 C43 -2.084 075 13602 B1 3.9 575 0 374 663 B2 4.62489238836 B3 0.6 174 772 63 873 ... in stiff"); 74 2 Chapter 16 #define #define #define #define #define C2X C3X C4X A2X A3X Integration of Ordinary Differential Equations -0.396296 677 520e-01...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 8 pdf
... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-431 08- 5) Copyright (C) 1 988 -1992 by Cambridge University Press.Programs Copyright (C) 1 988 -1992 by Numerical Recipes Software Permission ... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-431 08- 5) Copyright (C) 1 988 -1992 by Cambridge University Press.Programs Copyright (C) 1 988 -1992 by Numerical Recipes Softw...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
... Perkins For other titles in this series, go to http://www.springer.com/series/602 Eckhard Platen r Nicola Bruti-Liberati Numerical Solution of Stochastic Differential Equations with Jumps in Finance ... (1.1.1) and tij ∈ T determines its probability E Platen, N Bruti-Liberati, Numerical Solution of Stochastic Differential Equations with Jumps in Finance,...
Ngày tải lên: 19/02/2014, 22:20
Báo cáo hóa học: " Research Article A Generalized Wirtinger’s Inequality with Applications to a Class of Ordinary Differential Equations" docx
... 139–164, 1978 J L Kaplan and J A Yorke, Ordinary differential equations which yield periodic solutions of differential delay equations,” Journal of Mathematical Analysis and Applications, vol 48, ... is a periodic solution of 1.2 with period T 2.20 2π Journal of Inequalities and Applications Acknowledgments The authors would like to thank the referee for careful reading of...
Ngày tải lên: 22/06/2014, 02:20
Numerical Methods for Ordinary Differential Equations Butcher Tableau doc
... Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 Numerical ... which Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 NUMERICAL...
Ngày tải lên: 27/06/2014, 08:20
Numerical Solution of Stochastic Differential Equations with Jumps in Finance docx
... Perkins For other titles in this series, go to http://www.springer.com/series/602 Eckhard Platen r Nicola Bruti-Liberati Numerical Solution of Stochastic Differential Equations with Jumps in Finance ... (1.1.1) and tij ∈ T determines its probability E Platen, N Bruti-Liberati, Numerical Solution of Stochastic Differential Equations with Jumps in Finance,...
Ngày tải lên: 28/06/2014, 17:20
The numerical solution of delay-differential equations P1
... In this thesis we consider the development of numerical software for the solution of such problems Our discussion opens with a brief introduction to the theory of delay-differential equations ... 1.1.1 Introduction p Delay-differential equations In this thesis we are concerned with the numerical solution of delay-differential equations (DDE's) Delay-differ...
Ngày tải lên: 11/10/2014, 04:02
The numerical solution of delay-differential equations P2
... appendix we give a formal proof of the result (1.1.3:14) For any given time let the order of continuity of the component y i be Zi Our task is thus to obtain a set of lower bounds {c i : > ci ... construction C', co Cl = Applied to the error term (6) we then obtain — = - 0(hP+2) as required Thus the order of the effect of the spurious discontinuity at t = is one less...
Ngày tải lên: 11/10/2014, 04:03
NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
... more accurate solutions The size of the integration interval also influences the accuracy of the solutions (should be less than 10% of the time constant) • • st Solutions of sets of order ODEs ... interval × function of gradient • This is the basis for a family of algorithms used to provide numerical solutions of ODEs • A particular class is the Runge-Kutta algorithm...
Ngày tải lên: 19/03/2015, 08:49
- numerical differentiation integration and solutions of ordinary differential equations
- systems of ordinary differential equations examples
- power series solution of ordinary differential equations
- system of ordinary differential equations second order
- system of ordinary differential equations mathematica
- power series solution of ordinary differential equations pdf
- applications of ordinary differential equations in physics
- applications of ordinary differential equations ppt
- numerical solution of partial differential equations in science and engineering pdf