linear partial differential equations with constant coefficients ppt
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
... revised form 12 December 2007
Abstract. This note deals with two fully parallel methods for solving linear partial differential-
algebraic equations (PDAEs) of the form:
Au
t
+ B∆u = f(x, t) (1)
where ... Mathematics - Physics 23 (2007) 201-209
Fully parallel methods for a class of linear partial
differential- algebraic equations
Vu Tien Dung
∗
Department of Mathematics, Mechanics, Informatics, College ... Solution of Linear Parabolic Problems, Applied Mathematics Research Express No. 4
(2005) 117.
[5] R.D. da Cunha, T.R. Hopkins, Parallel Over Relaxation Algorithms for Systems of Linear Equations, ...
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Tài liệu Partial Differential Equations part 3 pptx
Ngày tải lên :
15/12/2013, 04:15
... units so that Planck’s constant ¯h =1and the particle mass
m =1/2.) One is given the initial wavepacket, ψ(x, t =0), together with boundary
852
Chapter 19. Partial Differential Equations
Sample page ... write
D
j+1/2
=
1
2
D(u
n
j+1
)+D(u
n
j
)
(19.2.22)
Implicit schemes are not as easy. The replacement (19.2.22) with n → n +1leaves
us with a nasty set of coupled nonlinear equations to solve at each timestep. Often
there is an easier way: ... 848
Chapter 19. Partial Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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Tài liệu Partial Differential Equations part 4 ppt
Ngày tải lên :
15/12/2013, 04:15
... value problems (elliptic equations, for
example) reduce to solving large sparse linear systems of the form
A· u = b (19.4.1)
either once, for boundary value equations that are linear, or iteratively, ... ∆t)
u
n+(2/m)
= U
2
(u
n+(1/m)
, ∆t)
···
u
n+1
= U
m
(u
n+(m−1)/m
, ∆t)
(19.3.20)
854
Chapter 19. Partial Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... once again!
CITED REFERENCES AND FURTHER READING:
Ames, W.F. 1977,
Numerical Methods for Partial Differential Equations
, 2nd ed. (New York:
Academic Press), Chapter 2.
Goldberg, A., Schey, H.M.,...
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Tài liệu Partial Differential Equations part 5 ppt
Ngày tải lên :
15/12/2013, 04:15
... systems.
In practice, equations (19.4.33) should be rewritten to avoid numerical instabil-
ity. For these and other practical details, refer to
[2]
.
860
Chapter 19. Partial Differential Equations
Sample ... problems (elliptic equations, for
example) reduce to solving large sparse linear systems of the form
A · u = b (19.4.1)
either once, for boundary value equations that are linear, or iteratively, ... FACR with r =0(that is, FFT in one dimension and solve the
tridiagonal equations by the usual algorithm in the other dimension) gives about a
factor of two gain in speed. The optimal FACR with...
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Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt
Ngày tải lên :
16/02/2014, 15:20
... a webpage with a list of errata at http://www.math.technion.ac
.il/∼pincho/PDE.pdf.
AN INTRODUCTION TO PARTIAL DIFFERENTIAL
EQUATIONS
A complete introduction to partial differential equations, ... 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 ... assumed that the reader is familiar with the calculus of functions in several
variables, with linear algebra and with the basics of ordinary differential equations.
The book is almost entirely...
- 385
- 508
- 2
Tài liệu Boundary Value Problems, Sixth Edition: and Partial Differential Equations pptx
Ngày tải lên :
17/02/2014, 14:20
... for
linear homogeneous equations of any order with constant coefficients. In all
6 Chapter 0 Ordinary Differential Equations
0 < b/2 <ω: underdamped. Therootsarecomplexconjugatesα ±iβ with
α ... 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 ... exercises are in
ix
Contents
Preface ix
CHAPTER 0 Ordinary Differential Equations 1
0.1 Homogeneous Linear Equations 1
0.2 Nonhomogeneous Linear Equations 14
0.3 Boundary Value Problems 26
0.4 Singular...
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differential equations with linear algebra nov 2009
Ngày tải lên :
11/06/2014, 07:16
... solutions
to linear differential equations and systems of equations exemplify
important ideas in linear algebra, and how linear algebra often answers
key questions regarding differential equations.
ã ... general solutions to systems of linear differential
equations or higher order linear differential equations.
Over the past decade or two, first-order differential equations have become
a standard ... Let us reconsider
Differential Equations with Linear Algebra
Systems of linear equations 13
1
2
1
3
2
x
2
x
1
x
3
Figure 1.4 The intersection of the three
planes given by the linear system (1.2.6).
⎡
⎣
1...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
Ngày tải lên :
20/06/2014, 20:20
... HO, Wu, J: Functional differential
equations with state-dependent delays: theory and applications. Hand-
b ook of Differential Equations: Ordinary Differential Equations, vol. III.
Elsevier/North-Holland, ... problems with state-dep endent deviating arguments Bull.
Lond. Math. Soc. 43, 164–174 (2011)
2. Arino, O, Hadeler, KP, Hbid, ML: Existence of periodic solutions for delay
differential equations with ... differential
equations with deviated arguments. J. Optim. Theory Appl. 135(2), 257–269
(2007)
5. Jankowski, T: Existence of solutions of boundary value problems for dif-
ferential equations in...
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- 361
- 0
Báo cáo hóa học: " Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions" pptx
Ngày tải lên :
20/06/2014, 22:20
... higher-order nonlinear fractional
differential equations. Fixed Point Theory Appl 2010, 17 (2010). (Article ID 364560)
10. Ahmad, B, Nieto, JJ: Riemann-Liouville fractional differential equations with fractional ... solution for fractional differential equations with
uncertainty. Nonlinear Anal. 72, 2859–2862 (2010). doi:10.1016/j.na.2009.11.029
5. Ahmad, B, Nieto, JJ: Existence results for nonlinear boundary value ... integrodifferential equations
with integral boundary conditions. Bound Value Probl 2009, 11 (2009). (Article ID 708576)
6. Ahmad, B, Nieto, JJ: Existence results for a coupled system of nonlinear...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... for non -linear differential equations
of fractional order. Nonlinear Anal 2011, 74:792-804.
34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... On some nonlinear ordinary differential equations with advanced
arguments. Nonlinear Anal 2003, 53:495-505.
40. Yan JR: Oscillation of first-order impulsive differential equations with advanced ... for second order differential
equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023.
42. Jankowski T: Positive solutions for fourth-order differential equations with deviating...
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báo cáo hóa học:" Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 11:20
... ordinary differential equations with s ublinear impulsive
effects,” Journal of Mathematical Analysis and Applications, vol. 303, no. 1, pp. 288–303, 2005.
9 L. Chen and J. Sun, “Nonlinear boundary ... 2009.
13 H. Zhang and Z. Li, “Variational approach to impulsive differential equations with periodic boundary
conditions,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 67–78, 2010.
14 ... problem
with impulses,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 155–162, 2010.
15 J. Zhou and Y. Li, “Existence and multiplicity of solutions for some Dirichlet problems with...
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báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 11:20
... pages
doi:10.1155/2010/862079
Research Article
Positive Solutions for Fourth-Order Singular
p-Laplacian Differential Equations with Integral
Boundary Conditions
Xingqiu Zhang
1, 2
and Yujun Cui
3
1
Department of ... positive
solutions for fourth-order singular p-Laplacian differential equations with integral boundary
conditions. Our nonlinearity f may be singular at t 0, t 1, and u 0. The dual results ... consider the existence of positive solutions for the following nonlinear
fourth-order singular p-Laplacian differential equations with integral boundary conditions:
ϕ
p
x
t
f
t,...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
Ngày tải lên :
21/06/2014, 16:20
... Impulsive Differential Equations, vol. 14, World Scientific,
Singapore, 1995.
6 J. Yan, “Existence of positive periodic solutions of impulsive functional differential equations with
two parameters,” ... pages
doi:10.1155/2011/654871
Research Article
Multiple Positive Solutions of Fourth-Order
Impulsive Differential Equations with Integral
Boundary Conditions and One-Dimensional
p-Laplacian
Meiqiang Feng
School ... integral equations and their relation with boundary-
value problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23.
On the other hand, boundary-value problems with integral...
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