partial differential equation toolbox in matlab
Tài liệu Partial Differential Equation Toolbox pdf
Ngày tải lên :
26/01/2014, 02:20
... Subscribing user registration
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Partial Differential Equation Toolbox ... called nonlinear
and FEM yields a nonlinear system K(U) U= F(U). You can use iterative
methods for solving the nonlinear system. The toolbox provides a nonlinear
solver called
pdenonlin using a ... of points inside and on a circle.
ãPolygon object represents the set of points inside and on a polygon given
by a set of line segments.
ãRectangle object represents the set of points inside...
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Báo cáo y học: "Differential gene expression in HIV/SIV-associated and spontaneous lymphomas"
Ngày tải lên :
02/11/2012, 11:08
... IL5 – the interleukin 5 gene,
λ
Ig – the
λ
-chain of immunoglobulin gene,
γIg – the γ-chain of immunoglobulin gene, IFN-ind – the interferone-inducible
gene 6-16, IL4R – the interleukin 4 receptor ... effects of calpains in cancer cells [27-29] suggest
that calpain participates in cell malignization by digesting
the p53 tumor suppressor. Besides, calpains participate in
induction of HIV ... of immunoglobulin
gene; IFN-ind: the interferon-inducible gene 6-16; IL4R: the
interleukin 4 receptor gene; TAP2: the transport protein
gene; hnRNP A1: the human ribonucleoprotein А1 gene;
SMG-1...
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Robotics TOOLBOX for MATLAB
Ngày tải lên :
19/10/2013, 18:15
... unitize a quaternion
Kinematics
diff2tr differential motion vector to transform
fkine compute forward kinematics
ikine compute inverse kinematics
ikine560 compute inverse kinematics for Puma 560 ... 1
A
i
cosθ
i
sinθ
i
cosα
i
sinθ
i
sinα
i
a
i
cosθ
i
sinθ
i
cosθ
i
cosα
i
cosθ
i
sinα
i
a
i
sinθ
i
0 sinα
i
cosα
i
d
i
0 0 0 1
represents each link’s coordinate frame with respect to the previous link’s ... giving joint motion in terms
of input torques.
Walker and Orin[23] describe several methods for computing the forward dynamics, and
all make use of an existing inverse dynamics solution. Using...
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Partial Differential Equations part 1
Ngày tải lên :
28/10/2013, 22:15
... America).
Chapter 19. Partial Differential
Equations
19.0 Introduction
The numerical treatment of partial differential equations is, by itself, a vast
subject. Partial differential equations are at ... Numerical Recipes dealing with partial differential equations alone. (The
references
[1-4]
provide, of course, available alternatives.)
In most mathematics books, partial differential equations (PDEs) ... and (19.0.2) both define initial value or Cauchy
problems: If information on u (perhaps including time derivative information) is
827
830
Chapter 19. Partial Differential Equations
Sample page...
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Partial Differential Equations part 2
Ngày tải lên :
07/11/2013, 19:15
... various ways of improving the accuracy of first-order upwind
differencing. In the continuum equation, material originally a distance v∆t away
840
Chapter 19. Partial Differential Equations
Sample ... own domain of dependency determined by the choice
of points on one time slice (shown as connected solid dots) whose values are used in determining a new
point (shown connected by dashed lines). ... viscosity to the equations, modeling the way Nature uses real viscosity
to smooth discontinuities. A good starting point for trying out this method is the
differencing scheme in §12.11 of
[1]
....
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Tài liệu Partial Differential Equations part 3 pptx
Ngày tải lên :
15/12/2013, 04:15
... 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 ... accurate in time for
the scales that we are interested in. The second answer is to let small-scale features
maintain their initial amplitudes, so that the evolution of the larger-scale features
of interest ... steps of the other kind,
to drive the small-scale stuff into equilibrium. Let us now see where these distinct
differencing schemes come from:
Consider the following differencing of (19.2.3),
u
n+1
j
−...
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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 ... ξ
n
e
ik
x
j∆
e
ik
y
l∆
(19.3.5)
Substituting in equation (19.3.3), we find
ξ =
1
2
(cos k
x
∆+cosk
y
∆)− iα
x
sin k
x
∆ − iα
y
sin k
y
∆(19.3.6)
where
α
x
=
v
x
∆t
∆
,α
y
=
v
y
∆t
∆
(19.3.7)
19.3 Initial Value Problems in Multidimensions
853
Sample ... 100 mesh points requires at least
100 times as much computing. You generally have to be content with very modest
spatial resolution in multidimensional problems.
Indulge us in offering a bit of...
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Tài liệu Partial Differential Equations part 5 ppt
Ngày tải lên :
15/12/2013, 04:15
... 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 mesh points to be a power ... get the 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 ... 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 Partial Differential Equations part 6 doc
Ngày tải lên :
15/12/2013, 04:15
... become available. In other words, the
averaging is done in place” instead of being “copied” from an earlier timestep to a
later one. If we are proceeding along the rows, incrementing j for fixed ... 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 ... get the 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...
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Tài liệu Partial Differential Equations part 7 doc
Ngày tải lên :
24/12/2013, 12:16
... residual.#define NGMAX 15
void mgfas(double **u, int n, int maxcyc)
Full Multigrid Algorithm for FAS solution of nonlinear elliptic equation, here equation (19.6.44).
On input
u[1 n][1 n]
contains the ... com-
puted.#define NGMAX 15
void mglin(double **u, int n, int ncycle)
Full Multigrid Algorithm for solution of linear elliptic equation, here the model problem (19.0.6).
On input
u[1 n][1 n]
contains the ...
1
3
τ
h
1
3
τ
h
(19.6.39)
The stopping criterion is thus equation (19.6.36) with
= ατ
h
,α∼
1
3
(19.6.40)
We have one remaining task before implementing our nonlinear multigrid algorithm:
choosing a nonlinear relaxation...
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Tài liệu Robotics TOOLBOX for MATLAB docx
Ngày tải lên :
19/01/2014, 17:20
... unitize a quaternion
Kinematics
diff2tr differential motion vector to transform
fkine compute forward kinematics
ikine compute inverse kinematics
ikine560 compute inverse kinematics for Puma 560 ... 1
A
i
cosθ
i
sinθ
i
cosα
i
sinθ
i
sinα
i
a
i
cosθ
i
sinθ
i
cosθ
i
cosα
i
cosθ
i
sinα
i
a
i
sinθ
i
0 sinα
i
cosα
i
d
i
0 0 0 1
represents each link’s coordinate frame with respect to the previous link’s ... provided
joint coordinates prior to any kinematic or dynamic operation, subtracted after inverse
kinematics.
3. Greatly improved the
plot
function, adding 3D cylinders and markers to indicate
joints,...
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Functional analysis sobolev spaces and partial differential equations
Ngày tải lên :
04/02/2014, 11:10
... occur in a wide range of questions, in both pure
and applied mathematics. They appear in linear and nonlinear PDEs that arise, for
example, in differential geometry, harmonic analysis, engineering, ... Recall that in general, a pointwise limit of continuous maps need not be
continuous. The linearity assumption plays an essential role in Theorem 2.2. Note,
however, that in the setting of Theorem ... not achieved (see, e.g., Exercise 1.17). The theory of min-
imal surfaces provides an interesting setting in which the primal problem (i.e.,
inf
x∈E
{ϕ(x) + ψ(x)}) need not have a solution, while...
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Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
Ngày tải lên :
13/02/2014, 03:20
... reported.
Keywords: Differential- algebraic equation (DAE), partial differential- algebraic equation (PDAE),
nonnegative pencil of matrices, parallel method
1. Introduction
Recently there has been a growing interest ... November 2007; received in revised form 12 December 2007
Abstract. This note deals with two fully parallel methods for solving linear partial differential-
algebraic equations (PDAEs) of the ... 205
Algorithm PFS
Step 1. Initialize v
0
:= v
0h
Step 2. For given m ≥ 0 and v
m
(an approximation of v
h
(mτ)) find v
m+1,k
by solving (in parallel)
systems of linear equations
(I +
τd
2
H
k
)v
m+1,k
=...
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Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt
Ngày tải lên :
16/02/2014, 15:20
... developed by Einstein in
1905. He proposed a model in which a particle at a point (x, y) in the plane jumps
during a small time interval δt to a nearby point from the set (x ± δx, y ± δx).
Einstein showed ... fourth-order equation.
r
Linear equations
Another classification is into two groups: linear versus nonlinear equations. An equation is
called linear if in (1.1), F is a linear function of the unknown ... example, the equation x
7
u
x
+ e
xy
u
y
+ sin(x
2
+ y
2
)u = x
3
is a linear equation,
while u
2
x
+ u
2
y
= 1 is a nonlinear equation. The nonlinear equations are often further
classified into subclasses...
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Tài liệu Boundary Value Problems, Sixth Edition: and Partial Differential Equations pptx
Ngày tải lên :
17/02/2014, 14:20
... Ordinary Differential Equations
multiple of π ,sincesin(π ) = 0, sin(2π) = 0, etc., and integer multiples of π
are the only arguments for which the sine function is 0. The equation λa =π ,
in ... other kinds of linear,
homogeneous equations. Later, we will be using the same principle on partial
differential equations. To be able to satisfy an unrestricted initial condition, we
need two linearly ... where the
differential equation is linear and of second order. However, problems in elas-
ticity often involve fourth-order equations.
In contrast to initial value problems, even the most innocent...
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