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A Numerical Solution for Wootters Correlation
2014This paper describes QDsim, a parallel application designed to compute the quantum concurrence by calculating the Wootters correlation of a quantum system. The system is based on a two-level two quantum dots inside a resonant cavity. A Beowulf-like cluster was used for running QDsim.
Abdul Hissami +2 more
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The Numerical Solution of Laplace's Equation
Journal of Applied Physics, 1938This paper considers in detail numerical methods of solving Laplace's equation in an arbitrary two-dimensional region with given boundary values. The methods involve the solution of approximating difference equations by iterative procedures. Modifications of the standard Liebmann procedure are developed which lead to a great increase in the convenience
Shortley, G. H., Weller, R.
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Numerical Solutions by the Continuation Method
SIAM Review, 1973Summary: The continuation method is developed with a special emphasis on its suitability for numerical solutions on fast computers. Four problems are treated in detail: finding roots of a polynomial, boundary value problems of nonlinear equations, identification of parameters and eigenvalue problems of linear ordinary differential operators.
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Numerical solution of differential equations
Proceedings of the December 8-10, 1954, eastern joint computer conference: Design and application of small digital computers on - AIEE-IRE '54 (Eastern), 1954The problem of finding solutions to various types of differential equations has intrigued mathematicians from a theoretical point of view for many years. It has also plagued many applied scientists for an equally long period of time. Except for the relatively few equations whose solutions are available in closed form, the best one can do is to obtain ...
Herbert M. Gurk, Morris Rubinoff
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The Numerical Solution of a Bifurcation Problem
SIAM Journal on Numerical Analysis, 1977For a completely continuous nonlinear equation $\lambda x = \mathcal{K}(x)$ with $\mathcal{K}(0) = 0$, approximate equations $\lambda x_n = \mathcal{K}_n (x_n )$, with $\mathcal{K}_n (0) = 0$, are analyzed. The family $\{ {\mathcal{K}_n } \}$ is collectively compact and pointwise convergent to $\mathcal{K}$. The existence and convergence of bifurcating
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Numerical Solution of Markov Chains
Numerical Linear Algebra with Applications, 2011SUMMARYThis special issue contains a selection of papers from the Sixth International Workshop on the Numerical Solution of Markov Chains, held in Williamsburg, Virginia on September 16–17, 2010. The papers cover a broad range of topics including perturbation theory for absorbing chains, bounding techniques, steady‐state and transient solution methods,
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A NUMERICAL SOLUTION OF THE PROBLEM OF MOMENTS
Biometrika, 1947Hartley, H. O., Khamis, D. H.
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On a Numerical Solution of the Laplace Equation [PDF]
, 2015 The Laplace Equation in three variable can be reduced to three ODEs by means of the Fourier method. For the cases when the exact solution does not exist, or it is complicated,we apply the wavelet-Galerkin method to the ODEs. We use suitable wavelets or scaling functions that allow finding the numerical solutions of the three equations, which will form ...
Veta Buralieva, Jasmina +2 more
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Traveling wave solutions and numerical solutions of Gilson–Pickering equation
Results in Physics, 2021Khalid K Ali, M S Mehanna
exaly