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Studying nonlinear effects on the early stage of phase ordering using a decomposition method
(Elsevier B.V., 2005-05-02)
Nonlinear effects on the early stage of phase ordering are studied using Adomian's decomposition method for the Ginzburg-Landau equation for a nonconserved order parameter. While the long-time regime and the linear behavior ...
Reducibility of matrix weights
(Springer, 2018-02)
In this paper, we discuss the notion of reducibility of matrix weights and introduce a real vector space CR which encodes all information about the reducibility of W. In particular, a weight W reduces if and only if there ...
Twofold adaptive partition of unity implicits
(SPRINGER, 2008)
Partition of Unity Implicits (PUI) has been recently introduced for surface reconstruction from point clouds. In this work, we propose a PUI method that employs a set of well-observed solutions in order to produce geometrically ...
Monomial convergence on ℓr
(Mathematical Science Publishers, 2021-05-18)
We develop a novel decomposition of the monomials in order to study the set of monomial convergence for spaces of holomorphic functions over er for 1 < r < 2. For Hb(er), the space of entire functions of bounded type in ...
On emergence and complexity of ergodic decompositions
(Academic Press Inc., 2021)
© 2021 Elsevier Inc.A concept of emergence was recently introduced in [5] in order to quantify the richness of possible statistical behaviors of orbits of a given dynamical system. In this paper, we develop this concept ...
Tensor decompositions for signal processing applications: from two-way to multiway component analysis
(Institute of Electrical and Electronics Engineers, 2015-03)
The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move towards more versatile multi-way data analysis ...
Reduction of the computational burden of POD models with polynomial nonlinearities
(IEEE, 2010-12)
This paper presents a technique for making the evaluation of POD models with polynomial nonlinearities less intensive. Regularly, Proper Orthogonal Decomposition (POD) and Galerkin projection have been employed to reduce ...
Generating Invariants For Non-linear Loops By Linear Algebraic Methods
(SPRINGERNEW YORK, 2015)