A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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The Shortest Path Problem and Its Critical Edge in Uncertain Environment
In order to make strategic, tactical and operational decisions for the shortest path in an uncertain environment. Firstly, the information transmission time expectation-variance shortest path model in uncertain environment is proposed. Secondly, to avoid
Ke Wei Jie, Gao Chang Zhao, Xiao Jun Sun
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Spectro-consistent discretization of Navier-Stokes: a challenge to RANS and LES [PDF]
In this paper, we discuss the results of a fourth-order, spectro-consistent discretization of the incompressible Navier-Stokes equations. In such an approach the discretization of a (skew-)symmetric operator is given by a (skew-)symmetric matrix ...
Veldman, A.E.P. +5 more
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Fermionic Gaussian states: an introduction to numerical approaches
This document is meant to be a practical introduction to the analytical and numerical manipulation of Fermionic Gaussian systems. Starting from the basics, we move to relevant modern results and techniques, presenting numerical examples and studying ...
Jacopo Surace, Luca Tagliacozzo
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Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation [PDF]
We propose a numerical scheme to solve a general class of time-fractional order telegraph equation in multidimensions using collocation points nodes and approximating the solution using double shifted Jacobi polynomials.
R.M. Hafez, Y.H. Youssri
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A Complete Framework for Acousto-Electric Tomography With Numerical Examples
Acousto-electric tomography (AET) involves three steps to retrieve the distribution of conductivity in a domain of interest (DOI): measure the potential on the DOI boundary (usually with a limited number of electrodes set there), compute the power ...
Changyou Li +3 more
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In this article, we present a numerical iterative scheme for solving a non-local singular initial-boundary value problem by combining two well known efficient methods. Namely, the homotopy analysis method and the double Laplace transform method.
Said Mesloub +2 more
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Conservative numerical methods for model kinetic equations [PDF]
A new conservative discrete ordinate method for nonlinear model kinetic equations is proposed. The conservation property with respect to the collision integral is achieved by satisfying at the discrete level approximation conditions used in deriving the ...
Titarev, Vladimir A.
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Fast Numerical Solution of Fredholm Integral Equations with Stationary Kernels [PDF]
A fast recursive matrix method for the numerical solution of Fredholm integral equations with stationary kernels is derived. IfN denotes the number of nodal points, the complexity of the algorithm isO(N 2), which should be compared toO(N 3) for ...
Ljung, Stefan,, Ljung, Lennart,
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A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation [PDF]
We consider a singularly perturbed problem for a nonlinear first-order Fredholm integrodifferential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the epsilon-parameter.
Amiraliyev, Gabil M. +7 more
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