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Prediction of future capacity and internal resistance of Li-ion cells from one cycle of input data

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energy and AI 2021年第3期5卷 209-216页

作者： Calum Strange Gonçalo dos Reis School of Mathematics University of EdinburghThe King’s BuildingsEdinburghEH93FDUK centro de matemática e aplicações(CMA) FCTUNLQuinta da Torre2829-516 CaparicaPortugal

There is a large demand for models able to predict the future capacity retention and internal resistance(IR)of Lithium-ion battery cells with as little testing as *** provide a data-centric model accurately predicting a cell’s entire capacity and IR trajectory from one single cycle of input *** represents a significant reduction in the amount of input data needed over previous *** approach characterises the capacity and IR curve through a small number of key points,which,once predicted and interpolated,describe the full *** this approach the remaining useful life is predicted with an 8.6%mean absolute percentage error when the input-cycle is within the first 100 cycles.

关键词： Capacity degradation Internal resistance degradation Prediction of full degradation curve Knee and elbow-points Lithium-ion cells Machine learning Remaining useful life

Proportionally Modular Diophantine Inequalities and Their Multiplicity

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Acta Mathematica Sinica,english Series 2010年第11期26卷 2059-2070页

作者： José Carlos ROSALes Manuel Batista BRANCO Paulo VASCO departamento de lgebra Universidad de Granada departamento de matemática departamento de matemática Universidade de Trás-os-Montes e Alto Douro

Let I be an interval of positive rational numbers. Then the set S （I） = T ∩ N, where T is the submonoid of （Q0＋, ＋） generated by T, is a numerical semigroup. These numerical semigroups are called proportionally modular and can be characterized as the set of integer solutions of a Diophantine inequality of the form ax rood b 〈 cx. In this paper we are interested in the study of the maximal intervals I subject to the condition that S （I） has a given multiplicity. We also characterize the numerical semigroups associated with these maximal intervals.

关键词： Numerical semigroup Diophantine inequality multiplicity Frobenius number

Lithium-ion battery data and where to find it

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energy and AI 2021年第3期5卷 255-269页

作者： Gonçalo dos Reis Calum Strange Mohit Yadav Shawn Li School of Mathematics University of EdinburghThe King’s BuildingsEdinburgh EH93FDUK centro de matemática e aplicações(CMA) FCTUNLQuinta da Torre2829-516 CaparicaPortugal Indian Institute of Technology KanpurIndia

Lithium-ion batteries are fuelling the advancing renewable-energy based *** the core of transformational developments in battery design,modelling and management is *** this work,the datasets associated with lithium batteries in the public domain are *** review the data by mode of experimental testing,giving particular attention to test variables and data *** highlighted tools and platforms,over 30 datasets are reviewed.

关键词： Lithium battery Public data Battery data Battery tests Machine learning

THe eFFeCT OF MeMORY TeRMS IN DIFFUSION PHeNOMeNA

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Journal of Computational Mathematics 2006年第1期24卷 91-102页

作者： A. Araújo J.A. Ferreira P. Oliveira departamento de matemática Universidade de Coimbra Portugal

In this paper the effect of integral memory terms in the behavior of diffusion phenomena is studied. The energy functional associated with different models is analyzed and stability inequalities are established. Approximation methods for the computation of the solution of the integro-differential equations are constructed. Numerical results are included.

关键词： Heat propagation Integro-differential equation Numerical approximation,Splitting method

PReCONDITIONeD SOR MeTHODS FOR GeNeRALIZeD LeAST-SQUARes PROBLeMS

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Acta Mathematicae Applicatae Sinica 2000年第2期16卷 130-139页

作者：袁锦昀 departmento de matemática Universidade Federal do Paraná Centro Politécnico Curitiba Brazil Instituto de matemática Pura e aplicada Rio de Janeiro Brazil

We consider here iterative methods for the generalized least squares problem defined as min(Ax-b)TW-1 (Ax-b) with W symmetric and positive definite. We develop preconditioned SOR methods specially devised also for the augmented systems of the problem. We establish the convergence region for the relaxation parameter and discuss, for one of the resulting SOR methods, the optimal value of this parameter. The convergence analysis and numerical experiments show that the preconditioned block SOR methods are very good alternatives for solving the problem.

关键词： cyclic SOR method generalized SOR method least-squares problems, generalized least-squares problems convergence optimal parameter

On the Restricted Arc-connectivity of s-geodetic Digraphs

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Acta Mathematica Sinica,english Series 2010年第10期26卷 1865-1876页

作者： Camino BALBUeNA Pedro GARCíA-VZQUeZ departament de matemàtica aplicada Ⅲ Universitat Politècnica de Catalunya departamento de matemática aplicada I Universidad de Sevilla E.T.S. de Arquitectura

For a strongly connected digraph D the minimum ,cardinality of an arc-cut over all arc-cuts restricted arc-connectivity λ′（D） is defined as the S satisfying that D - S has a non-trivial strong component D1 such that D - V（D1） contains an arc. Let S be a subset of vertices of D. We denote by w＋（S） the set of arcs uv with u ∈ S and v S, and by w-（S） the set of arcs uv with u S and v ∈ S. A digraph D = （V, A） is said to be λ′-optimal if λ′（D） =ξ′（D）, where ξ′（D） is the minimum arc-degree of D defined as ξ（D） = min {ξ′（xy）： xy ∈ A}, and ξ′（xy） = min（｜ω＋（{x,y}）｜, ｜w-（{x,y}）｜, ｜w＋（x） ∪ w- （y）｜, ｜w- （x） ∪ω＋（y）｜}. In this paper a sufficient condition for a s-geodetic strongly connected digraph D to be λ′-optimal is given in terms of its diameter. Furthermore we see that the h-iterated line digraph Lh（D） of a s-geodetic digraph is λ′-optimal for certain iteration h.

关键词： Restricted arc-connectivity arc-cut diameter s-geodetic digraph line digraph

Generalized Hardy Spaces

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Acta Mathematica Sinica,english Series 2010年第9期26卷 1673-1692页

作者： Alexandre ALMeIDA António M.CAeTANO departamento de matemática Universidade de Aveiro

Hardy spaces with generalized parameter are introduced following the maximal characterization approach. As particular cases, they include the classical Hp spaces and the Hardy-Lorentz spaces H^p,q. Real interpolation results with function parameter are obtained, Based on them, the behavior of some classical operators is studied in this generalized setting.

关键词： Generalized Hardy spaces maximal functions Poisson kernel interpolation with function parameter Riesz potentials singular integrals

THeOReMS OF BARTH-LeFSCHeTZ TYPe ON KAHLeR MANIFOLDS WITH PARTIALLY POSITIVe CURVATURe

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Chinese Annals of Mathematics,Series B 2003年第3期24卷 285-292页

作者： ZHOU deTANG Insitituto de matematica, Universidade Federal Fluminense-UFF, centro, Niteroi, RJ 24020-140, Brazil. Insitituto de matemática Universidade Federal Fluminense-UFF Centro Niterói RJ 24020-140 Brazil

The author obtains the theorems of Barth-Lefschetz type on Kahler manifolds with partiallypositive bisectional curvature without the assumption of nonnegative bisectional *** applications of the results to holomorphic... 详细信息

关键词： Kahler manifold Bisectional curvature Holomorphic mapping

C_c(X)Spaces with X Locally Compact

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Acta Mathematica Sinica,english Series 2007年第9期23卷 1593-1600页

作者： J.C.FeRRANDO S.MOLL centro de Investigación Operativa Universidad Miquel Hernández departamento de matemática aplicada Universidad Politécnica

In this paper, we show, among other results, that if X is a [separable] locally compact space X [satisfying the first countability axiom] then the space Cc （X） has countable tightness [if and only if it has bounding tightness] if and only if it is Frechet-Urysohn, if and only if Cc （X） contains a dense （LM） subspace and if and only if X is a-compact.

关键词： Frechet-Urysohn space countable [bounding] tightness (LM)-space