Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples [PDF]
Explicit computational formulas for the coefficients of the periodic normal forms for codimension 2 (codim 2) bifurcations of limit cycles in generic autonomous ODEs are derived.
De Witte, Virginie +3 more
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On systems of differential equations with extrinsic oscillation [PDF]
We present a numerical scheme for an efficient discretization of nonlinear systems of differential equations subjected to highly oscillatory perturbations.
Condon, Marissa +2 more
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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
doaj +1 more source
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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Numerical Clifford Analysis for Nonlinear Schrodinger Problem [PDF]
The aim of this work is to study the numerical solution of the nonlinear Schrodinger problem using a combination between Witt basis and finite difference approximations.
Bernstein +10 more
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Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]
In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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Multilevel ensemble Kalman filtering for spatio-temporal processes
We design and analyse the performance of a multilevel ensemble Kalman filter method (MLEnKF) for filtering settings where the underlying state-space model is an infinite-dimensional spatio-temporal process.
Chernov, Alexey +4 more
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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
doaj +1 more source
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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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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