system of ordinary differential equations mathematica
Tài liệu Integration of Ordinary Differential Equations part 1 doc
Ngày tải lên :
15/12/2013, 04:15
... 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 equations. ... auxiliary variables.
The generic problem in ordinary differential equations is thus reduced to the
study of a set of N coupled first-order differential equations for the functions
y
i
,i=1,2, ,N, ... 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...
- 4
- 361
- 0
Tài liệu Integration of Ordinary Differential Equations part 2 pptx
Ngày tải lên :
15/12/2013, 04:15
... 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 ... 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)
Copyright ... that 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...
- 5
- 448
- 0
Tài liệu Integration of Ordinary Differential Equations part 3 doc
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 ... 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, pp. 201–
222. ... ,n−1
y(x+H)≈y
n
≡
1
2
[z
n
+z
n−1
+hf(x + 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...
- 9
- 436
- 0
Tài liệu Integration of Ordinary Differential Equations part 4 ppt
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 ... 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, pp. 201–
222. ... section.
The usefulness ofthe modified midpointmethod tothe Bulirsch-Stoertechnique
(§16.4) derives from a “deep” result about equations (16.3.2), due to Gragg. It turns
out that the error of (16.3.2), expressed...
- 3
- 461
- 0
Tài liệu Integration of Ordinary Differential Equations part 5 pdf
Ngày tải lên :
24/12/2013, 12:16
... extrapolate 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 ... 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 differential equations. The ... differential equations. For n
k
subdivisions in H, the number of function evaluations can be found from the recurrence
A
1
= n
1
+1
A
k+1
= A
k
+ n
k+1
(16.4.6)
730
Chapter 16. Integration of Ordinary Differential...
- 9
- 486
- 0
Tài liệu Integration of Ordinary Differential Equations part 6 pdf
Ngày tải lên :
24/12/2013, 12:16
... 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, as discussed ... vol. 27, pp. 505–535.
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 arises. Stiffness occurs ... compatibility with bsstep the arrays y and d2y are of length 2n for a
system of n second-order equations. The values of y arestoredinthefirstnelements of y,
while the first derivatives are stored in...
- 3
- 395
- 0
Tài liệu Integration of Ordinary Differential Equations part 7 pptx
Ngày tải lên :
24/12/2013, 12:16
... nice feature of implicit methods holds only
for linear systems, but even in the general case implicit methods give better stability.
742
Chapter 16. Integration of Ordinary Differential Equations
Sample ... 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 Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC ... intermediate values of y and x.
y[i]=ysav[i]+A31*g1[i]+A32*g2[i];
736
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING...
- 14
- 407
- 0
Tài liệu Integration of Ordinary Differential Equations part 8 pdf
Ngày tải lên :
24/12/2013, 12:16
... Problems in Ordinary Differential Equations
(Englewood
Cliffs, NJ: Prentice-Hall), Chapter 9. [1]
Shampine, L.F., and Gordon, M.K. 1975,
Computer Solution of Ordinary Differential Equations.
The ... 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 ... adjusting
the stepsize is difficult.
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...
- 6
- 457
- 0
Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
Ngày tải lên :
19/02/2014, 22:20
... collection of events, sigma-algebra
A
filtration
E(X) expectation of X
E(X |A) conditional expectation of X under A
P (A) probability of A
P (A |B) probability of A conditioned on B
∈ element of
∈ ... context of derivative pricing.
The book does not claim to be a complete account of the state of the
art of the subject. Rather it attempts to provide a systematic framework for
an understanding of ... order of strong convergence from γ =0.5toγ =1.0. Nonethe-
less, the order of weak convergence of the Milstein scheme equals β =1.0,
which is not an improvement over the order of weak convergence of...
- 868
- 1.3K
- 0
Báo cáo "On the asymptotic behavior of delay differential equations and its relationship with C0 - semigoup " potx
Ngày tải lên :
22/03/2014, 11:20
... equivalence of systems of differential equations, Results of mathematic science 40
(1985) 245 (Russian).
[4] M. Svec, Itegral and asymptotic equivelence of two systems of diffrential equations, ... Journal of Science, Mathematics - Physics 23 (2007) 63-69
2. Main results
2.1. The uniformly stable of null solution of delay differential equations
Let us consider the delay differential equations
dx(t)
dt
= ... 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...
- 7
- 553
- 0
galois theory of linear differential equations - m. van der put, m. singer
Ngày tải lên :
31/03/2014, 15:56
... translates into Z
L
=(r
a,b
)G
L
. A proof of Lemma 1.29 finishes
the proof of the theorem. ✷
Proof of lemma 1.29.
The proof is rather similar to the one of lemma 1.23. The only thing that we
have ... O-submodules N
1
,N
2
of N with N = N
1
⊕N
2
and N
i
= F
i
for i =1, 2.
Proof. The proof is similar to the proof of Proposition 3.17. Let S
1
and S
2
be the set of eigenvalues of E acting on F
1
and ... as a group of matrices
and has the structure of a linear algebraic group, that is, it is a group of invertible
matrices defined by the vanishing of a set of polynomials on the entries of these
matrices....
- 478
- 379
- 0
ordinary differential equations and dynamical systems - g. teschl
Ngày tải lên :
31/03/2014, 15:56
... neighborhood of the singular point
z = 0 and we can now try to go the opposite way. Given a solution of the
system of linear equations (4.38), where α is an eigenvalue of A
0
we get a
solution of our ... solution of the linear system ax + bt + c = 0, αx +
βt + γ = 0.
70 4. Differential equations in the complex domain
A system is called a Fuchs system if it has only finitely many singularities
all of ... transformed into a linear system of equations by the Laplace transform.
3.3. General linear first order systems
We begin with the study of the homogeneous linear first order system
˙x(t) = A(t)x(t),...
- 237
- 733
- 0
an introduction to ordinary differential equations
Ngày tải lên :
12/05/2014, 03:24
... Classification of differential equations 11
3.1 Ordinary and partial differential equations 11
3.2 The order of a differential equation 13
3.3 Linear and nonlinear 13
3.4 Different types of solution ... simple classification of differential equa-
tions which will let us increase the complexity of the problems we consider in a
systematic way.
3.1 Ordinary and partial differential equations
The most ... fractions)
Preface
The aim of this book is to deal with all of the elementary methods for obtaining
explicit solutions of ordinary differential equations, and then to introduce the ideas
of qualitative analysis...
- 415
- 1.1K
- 0
- system of nonlinear differential equations examples
- systems of ordinary differential equations examples
- system of ordinary differential equations second order
- solve system of partial differential equations mathematica
- system of nonlinear differential equations mathematica
- system of linear differential equations mathematica