Results 291 to 300 of about 100,034 (331)

Control of Parabolic Partial Differential Equation Systems

2006 Chinese Control Conference, 2006
This paper introduces constraction and characteristic of a class of parabolic distributed parameter system, design a controller by combine Galerkin's method with approximate inertial manifolds. Simulations result shows that this system works well with high precision.
Shi Hong-yan, Yuan De-cheng
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Controllability for Partial Differential Equations of Parabolic Type

SIAM Journal on Control, 1974
The purpose of this paper is to study questions regarding controllability for the distributed-parameter systems described by partial differential equations of parabolic type. Fattorini [2]–[4] studied controllability by finitely many functions of time.
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Predictor‐corrector methods for parabolic partial differential equations

International Journal for Numerical Methods in Engineering, 1983
AbstractIn this paper we extend predictor‐corrector methods, commonly used for the numerical solution of ordinary differential equations (o.d.e.s), to parabolic partial differential equations (p.d.e.s), typically of the form ut = auxx + ƒ(u, ux, x, t).We describe linear multistep methods for p.d.e.s, the nonlinear algebraic equations arising from ...
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Parabolic and Hyperbolic Partial Differential Equations

1990
We consider the temperature distribution y(x,t) along a homogeneous rod of length L, which at one end (x=L) is held at temperature 0, while at the other end (x=0) the temperature is prescribed as a function b(t) of time. Let the thermal conductivity of the rod be f(x), the initial temperature be given as a(x), and let there be interior heat generation ...
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Stochastic Hyperbolic and Parabolic Partial Differential Equations.

1994
Abstract : The primary objective was to understand fundamental properties of stochastic partial differential equations. The main results obtained concern properties of level sets of the solution of the one-dimensional wave equation, and regularity properties of the two-dimensional wave equation driven by non-white Gaussian noise.
N. Frangos, Robert C. Dalang
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Inverse Problems for Parabolic Partial Differential Equations

1986
A simple strategy for dealing with “small” inverse problems is proposed. A keypoint of this strategy is the treatment of the direct problem in the weak setting, employing the strategy of judicious choosing of test functions in order to extract detailed information regarding the properties of the weak solution.
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Matrix Methods for Parabolic Partial Differential Equations

2009
Many of the problems of physics and engineering that require numerical approximations are special cases of the following second-order linear parabolic differential equation: $$ \begin{array}{*{20}c} {\phi \left( {\rm x} \right)u_t \left( {{\rm x};t} \right)} \hfill & { = \sum\limits_{i = 1}^n {\left( {K_i \left( {\rm x} \right)u_{x_i } } \right)_ ...
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On linear parabolic partial differential equations

2011
unknown ...
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Hydrothermal analysis for a parabolic solar unit with wavy absorber pipe and nanofluid

Renewable Energy, 2022
Zafar Said, Mehrdad Jafaryar
exaly  

Parabolic Partial Differential Equations

2009
Pavel B. Bochev, Max D. Gunzburger
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