applications of ordinary differential equations in physics
Báo cáo hóa học: " Research Article A Generalized Wirtinger’s Inequality with Applications to a Class of Ordinary Differential Equations" docx
Ngày tải lên: 22/06/2014, 02:20
Tài liệu Integration of Ordinary Differential Equations part 1 doc
... 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 ... 1973, Computational Methods in Ordinary Differential Equations (New York: Wiley). Lapidus, L., and Seinfeld, J. 1971, Numerical Solution of Ordinary Differential Equations (New York: Academic ... 708 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)...
Ngày tải lên: 15/12/2013, 04:15
Tài liệu Integration of Ordinary Differential Equations part 2 pptx
... 1973, Computational Methods in Ordinary Differential Equations (New York: Wiley). Lapidus, L., and Seinfeld, J. 1971, Numerical Solution of Ordinary Differential Equations (New York: Academic ... discussion of the pitfalls in constructing a good Runge-Kutta code is given in [3] . Here is the routine for carrying out one classical Runge-Kutta step on a set of n differential equations. You input ... derive from this basic 712 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)...
Ngày tải lên: 15/12/2013, 04:15
Tài liệu Integration of Ordinary Differential Equations part 3 doc
... methods. free_vector(ytemp,1,n); free_vector(ak6,1,n); free_vector(ak5,1,n); free_vector(ak4,1,n); free_vector(ak3,1,n); free_vector(ak2,1,n); } Noting that the above routines are all in single precision, don’t be too greedy in specifying eps. Thepunishment forexcessive greediness is interestingand worthyof Gilbertand Sullivan’sMikado: ... + H, z n )] (16.3.2) 714 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) ... 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall), Chapter 2. [2] Shampine, L.F., and Watts, H.A. 1977, in Mathematical Software III ,...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 4 ppt
... 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) ... hmin) nrerror("Step size too small in odeint"); h=hnext; } nrerror("Too many steps in routine odeint"); } CITED REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial ... step h instead of the two required by second-order Runge-Kutta. Perhaps there are applications where the simplicity of (16.3.2), easily coded in- line in some other program, recommends it. In general,...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... encountered in practice, is discussed in Đ16.7.) 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) Copyright ... each component of a vector of quantities. 728 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 ... remind you once again that scaling of the variables is often crucial for successful integration of differential equations. The scaling “trick” suggested in the discussion following equation (16.2.8)...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... 734 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) ... is a particular class of equations that occurs quite frequently in practice where you can gain about a factor of two in efficiency by differencing the equations directly. The equations are second-order ... FURTHER READING: Stoer, J., and Bulirsch, R. 1980, Introduction to Numerical Analysis (New York: Springer-Verlag), Đ 7.2.14. [1] Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 7 pptx
... as in the original Bulirsch-Stoer method. The starting point is an implicit form of the midpoint rule: y n+1 − y n−1 =2hf y n+1 + y n−1 2 (16.6.29) 738 Chapter 16. Integration of Ordinary Differential ... methods have been, we think, squeezed 740 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 ... calculates dydx . { void lubksb(float **a, int n, int *indx, float b[]); void ludcmp(float **a, int n, int *indx, float *d); int i,j,nn,*indx; float d,h,x,**a,*del,*ytemp; indx=ivector(1,n); a=matrix(1,n,1,n); del=vector(1,n); ytemp=vector(1,n); h=htot/nstep;...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 8 pdf
... methods have been, we think, squeezed 752 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 ... methods in all applications. We are willing, however, to be corrected. CITED REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, ... method .In functional iteration, we take some initial guess for y n+1 , insert it into the right-hand side of (16.7.2) to get an updated value of y n+1 , insert this updated value back into the...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
... and are interested in finance, insurance and other areas of risk management will find the following flowchart helpful. It suggests the read- ing for an introduction into quantitative methods in nance ... N t made a jump, that is, τ k =inf{t ≥ 0: N t ≥ k} (1.1.23) for k ∈N, t ≥ 0. In some applications, as in the modeling of defaults, the intensity λ t that a certain type of event occurs may depend ... part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in...
Ngày tải lên: 19/02/2014, 22:20
Numerical Solution of Stochastic Differential Equations with Jumps in Finance docx
Ngày tải lên: 28/06/2014, 17:20
Báo cáo " Periodic solutions of some linear evolution systems of natural differential equations on 2-dimensional tore " ppt
Ngày tải lên: 14/03/2014, 13:20
Báo cáo "On the asymptotic behavior of delay differential equations and its relationship with C0 - semigoup " potx
... conditions of stable and asymptotic equivalence (see [1-5]) of linear delay differential equations under nonlinear perturbation in Banach space. The obtained results thank to use of the theories of general ... ≡ 0 of Eq.(4) is uniformly exponential stable. 2.2. The asymptotic equivalence of linear delay differential equations under nonlinear perturbation in Banach space In this section, we are interested ... are interested in finding conditions such that the solution of Eq.(4) in the case à = 0 will be asymptotic equivalence to the solution of Eq.(4) in the case à = 0 (in the following we will give...
Ngày tải lên: 22/03/2014, 11:20
galois theory of linear differential equations - m. van der put, m. singer
Ngày tải lên: 31/03/2014, 15:56