application of differential equations in engineering ppt
Tài liệu Integration of Ordinary Differential Equations part 2 pptx
Ngày tải lên :
15/12/2013, 04:15
... 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 ... 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 ... 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)...
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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 (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 ... H/n (16.3.1)
In principle, one could use the modified midpoint method in its own right as an ODE
integrator. In practice, the method finds its most important application as a part of
the more powerful...
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Tài liệu Integration of Ordinary Differential Equations part 7 pptx
Ngày tải lên :
24/12/2013, 12:16
... 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 ... 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; ... 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...
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Tài liệu Partial Differential Equations part 3 pptx
Ngày tải lên :
15/12/2013, 04:15
... evolution of the larger-scale features
of interest takes place superposed with a kind of “frozen in (though fluctuating)
background of small-scale stuff. This answer gives a differencing scheme ... form again and in practice usually retains
the stability advantages of fully implicit differencing.
Schr
ă
odinger Equation
Sometimes the physical problem being solved imposes constraints on ... evolve through of order λ
2
/(∆x)
2
steps before things start to happen on the
scale of interest. This number of steps is usually prohibitive. We must therefore
find a stable way of taking timesteps...
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Tài liệu Partial Differential Equations part 4 ppt
Ngày tải lên :
15/12/2013, 04:15
... underlying PDEs, perhaps allowing second-order
spatial differencing for first-order -in- space PDEs. When you increase the order of
a differencing method to greater than the order of the original ... Recipes Software.
Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machine-
readable files (including this ... America).
are using is known to be extremely stable, we do not recommend anything higher
than second-order in time (for sets of first-order equations) . For spatial differencing,
we recommend the order of the...
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Tài liệu Partial Differential Equations part 5 ppt
Ngày tải lên :
15/12/2013, 04:15
... level of CR, we have reduced the number of equations by a factor of
two. Since the resulting equations are of the same form as the original equation, we
can repeat the process. Taking the number of ... y-values on these
x-lines. Then fill in the intermediate x-lines as in the original CR algorithm.
The trick is to choose the number of levels of CR so as to minimize the total
number of arithmetic operations. ... mentioned in Đ19.0, relaxation methods involve splitting the sparse
matrix that arises from finite differencing and then iterating until a solution is found.
There is another way of thinking about...
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Tài liệu APPLICATION OF REMOTE SENSING IN:" FOREST SECTOR OF VIETNAM" docx
Ngày tải lên :
24/01/2014, 03:20
... NGOs and international
organizations.
4.2 Improvement in deriving information
4.2 Improvement in deriving information
III. Application of remote sensing
III. Application of remote sensing
technology ...
processes.
3.1 In the past
4.6 Priority needs
)
)
Development of Forest Monitoring and
Development of Forest Monitoring and
Information System (FOMIS)
Information System (FOMIS)
including:
including:
... strengthening cpacity for forest inventory
including application of remote sesing imagery;
1991 – 1995: conducted 1st cycle of NFI with the use of
Landsat TM to make forest cover maps at provincial...
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Tài liệu ETHICS IN ENGINEERING pptx
Ngày tải lên :
13/02/2014, 20:20
... (
#
-'(
ETHICS IN AN ENGINEERING
COURSE????
"
"#$
http://www.free-clep-prep.com/Business-Ethics-and-Society-DSST.html
...
"#$
http://www.free-clep-prep.com/Business-Ethics-and-Society-DSST.html
http://manofthehouse.com/money/career-advice/business-ethics -in- the-workplace
C %&'%"
... ...
1
http://www.boston.com/news/globe/magazine/articles/2006/09/10/its_the _engineering_ stupid/
%"%$
%0%&
2
90
3
2
...
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Tài liệu Đề tài " The topological classification of minimal surfaces in R3 " pptx
Ngày tải lên :
16/02/2014, 06:20
... F lying outside K
i
.
2. The two endpoints of k lie in distinct boundary components of pairs of
pants.
The first thing to notice is that the arc of the boundary of the disk ex-
tending E in Γ ... ball B embedded in M so that there
is a nontrivial cycle of Γ contained in the interior of B. Then F is reducible.
Proof. Let C be the nontrivial cycle of Γ contained in the interior of B.
Notice ... indexed
planes from P and reindex the remaining ones by N in an order preserving
manner.
TOPOLOGICAL CLASSIFICATION OF MINIMAL SURFACES
683
The main result in [8] is:
Theorem 2.1 (The Ordering...
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