Distributed Input and State Estimation Using Local Information in Heterogeneous Sensor Networks
A new distributed input and state estimation architecture is introduced and analyzed for heterogeneous sensor networks. Specifically, nodes of a given sensor network are allowed to have heterogeneous information roles in the sense that a subset of nodes ...
Dzung Tran +3 more
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Efficient approximation of random fields for numerical applications [PDF]
This article is dedicated to the rapid computation of separable expansions for the approximation of random fields. We consider approaches based on techniques from the approximation of non-local operators on the one hand and based on the pivoted Cholesky ...
Michael Peters +5 more
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The Difference Format of Landau-Lifshitz Equation in Two-dimensional Case
In this paper, the author considers a difference scheme of Laudau-Lifshitz equation (LL for short) and modulus of unj which are constantly remaining equal to 1.
Zhong Taiyong
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Towards a Spectral Method of Moments using Computer Aided Design [PDF]
We present first numerical examples of how the framework of isogeometric boundary element methods, in the context of electromagnetism also known as method of moments, can be used to achieve higher accuracies by elevation of the degree of basis functions.
S. Kurz, S. Schöps, F. Wolf
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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In this article, we develop a numerical method based on the operational matrices of shifted Vieta–Lucas polynomials (VLPs) for solving Caputo fractional-order differential equations (FDEs).
Zulfiqar Ahmad Noor +3 more
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A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication [PDF]
We present a cavitation model based on the Stokes equation and formulate adaptive finite element methods for its numerical solution. A posteriori error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are ...
Hansbo, Peter F G +9 more
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Error estimates of a high order numerical method for solving linear fractional differential equations [PDF]
In this paper, we first introduce an alternative proof of the error estimates of the numerical methods for solving linear fractional differential equations proposed in Diethelm [6] where a first-degree compound quadrature formula was used to approximate ...
Yan, Yubin +2 more
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Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations [PDF]
In this paper, we develop a new approximation for the generalized fractional derivative, which is characterized by a scale function and a weight function.
Li, Xuhao, Wong, Patricia Jia Yiing
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Numerical methods for Stochastic differential equations: two examples
The goal of this paper is to present a series of recent contributions arising in numerical probability. First we present a contribution to a recently introduced problem: stochastic differential equations with constraints in law, investigated through ...
de Raynal Paul-Éric Chaudru +2 more
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