Results 21 to 30 of about 6,376,169 (271)
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
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Method of lines for parabolic stochastic functional partial differential equations [PDF]
We approximate parabolic stochastic functional differential equations substituting the derivatives in the space variable by finite differences. We prove the stability of the method of lines corresponding to a parabolic SPDE driven by Brownian motion.
Maria Ziemlańska
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Partial Differential Equations and Function Spaces [PDF]
It is well known that PDEs and the theory of function spaces have played a central role in the mathematical analysis of problems arising from mathematical physics, biology, and other branches of modern applied sciences. This special issue addresses the current advances in these two broad areas; in particular it focuses on the connections and ...
Shijun Zheng +3 more
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Stability results for the functional differential equations associated to water hammer in hydraulics
There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Parallel unstructured solvers for linear partial differential equations [PDF]
This thesis presents the development of a parallel algorithm to solve symmetric systems of linear equations and the computational implementation of a parallel partial differential equations solver for unstructured meshes.
Becker, Dulcenéia
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Invariant manifolds of partial functional differential equations
The authors give a proof for the existence and attractivity of center-unstable, center and stable manifolds for general evolutionary processes using the method of graph transforms. They indicate that their results can be applied to a large class of equations generating evolutionary processes that may not be strongly continuous.
Van Minh, Nguyen, Wu, Jianhong
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GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS
Summary: In this paper we develop a way of obtaining Green's functions of partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in a conducting plate which is bent in half.
Adrian, F., Tojo, F., Torres, Pedro J.
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Background. In this paper, solutions of retarded-functional differential equations are investigated for equiboundedness, partial equiboundedness, and partial equiboundedness with partial control of the histories of these solutions.
Kirill S. Lapin, Vladislav A. Aryanov
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The system of partial differential equations for the C0 function
We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function.
Tai-Fu Feng +3 more
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