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Structural parameter identifiability is a property of a differential model with parameters that allows for the parameters to be determined from the model equations in the absence of noise. One of the standard approaches to assessing this…

Algebraic Geometry · Mathematics 2020-12-29 Alexey Ovchinnikov , Gleb Pogudin , Peter Thompson

Characterizing entanglement in quantum materials is crucial for advancing next-generation quantum technologies. Despite recent strides in witnessing entanglement in magnetic materials with distinguishable spin modes, quantifying…

Strongly Correlated Electrons · Physics 2025-03-27 Tongtong Liu , Luogen Xu , Jiarui Liu , Yao Wang

In nodal based finite element method (FEM), degrees of freedom are associated with the nodes of the element whereas, for edge FEM, degrees of freedom are assigned to the edges of the element. Edge element is constructed based on Whitney…

Numerical Analysis · Mathematics 2022-03-29 Durgarao Kamireddy , Saurabh Madhukar Chavan , Arup Nandy

Solid state batteries have emerged as a potential next-generation energy storage device due to safety and energy density advantages. Development of electrolyte is one of the most important topics in solid state batteries. Electrochemical…

Materials Science · Physics 2021-10-04 Changyu Deng , Wei Lu

In this paper, we prove that some Gaussian structural equation models with dependent errors having equal variances are identifiable from their corresponding Gaussian distributions. Specifically, we prove identifiability for the Gaussian…

Machine Learning · Statistics 2018-08-30 Jose M. Peña

Particle breakage due to collisional interactions plays a vital role in the development of several phenomena in science and engineering. The nonlinear collisional breakage equations (NCBEs) are a significant set of equations in this…

Numerical Analysis · Mathematics 2026-04-14 Arushi Arushi , Naresh Kumar

In this paper the classical Euler-Bernoulli beam (CEBB) theory is reformulated utilising fractional calculus. Such generalisation is called fractional Euler-Bernoulli beams (FEBB) and results in non-local spatial description. The parameters…

Mathematical Physics · Physics 2015-10-28 Wojciech Sumelka , Tomasz Blaszczyk , Christian Liebold

A computationally method on damage detection problems in structures was conducted using neural networks. The problem that is considered in this works consists of estimating the existence, location and extent of stiffness reduction in…

Neural and Evolutionary Computing · Computer Science 2008-07-01 Ismoyo Haryanto , Joga Dharma Setiawan , Agus Budiyono

The rapid spread of Lithium-ions batteries (LiBs) for electric vehicles calls for the development of accurate physical models for Battery Management Systems (BMSs). In this work, the electrochemical Single Particle Model (SPM) for a…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Andrea Trivella , Matteo Corno , Stefano Radrizzani , Sergio M. Savaresi

We discuss certain basic features of the equation-free (EF) approach to modeling and computation for complex/multiscale systems. We focus on links between the equation-free approach and tools from systems and control theory (design of…

Cellular Automata and Lattice Gases · Physics 2007-05-23 C. I. Siettos , R. Rico-Martinez , I. G. kevrekidis

This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions combined with a finite difference scheme in the time…

Numerical Analysis · Mathematics 2025-11-03 Krishan Kumar , P. Danumjaya , Anil Kumar , Amiya K. Pani

For mathematical and experimental ease, models with time varying parameters are often simplified to assume constant parameters. However, this simplification can potentially lead to identifiability issues (lack of uniqueness of parameter…

Quantitative Methods · Quantitative Biology 2026-03-24 Jessica R Conrad , James M Hyman , Marisa C Eisenberg

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

Superconductivity · Physics 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

High-resolution mapping of electronic properties at oxide heterointerfaces remains challenging due to probe delocalization and overlapping signals. In this work, we employ monochromated, probe-corrected scanning transmission electron…

We discuss our new implementation of the Real-space Electronic Structure method for studying the atomic and electronic structure of infinite periodic as well as finite systems, based on density functional theory. This improved version which…

Materials Science · Physics 2009-10-31 U. V. Waghmare , Hanchul Kim , I. J. Park , Normand Modine , P. Maragakis , Efthimios Kaxiras

A method for determination of the bimolecular recombination constant in working double-injection diodes such as organic light-emitting diodes (OLEDs) and organic photovoltaics (OPVs) using impedance spectroscopy is proposed. The proposed…

Applied Physics · Physics 2019-03-27 Makoto Takada , Takahiro Mayumi , Takashi Nagase , Takashi Kobayashi , Hiroyoshi Naito

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

Methodology · Statistics 2025-04-17 Jing Zou , Wei Li , Wei Lin

The Fractional Diffusion Equation (FDE) is a mathematical model that describes anomalous transport phenomena characterized by non-local and long-range dependencies which deviate from the traditional behavior of diffusion. Solving this…

Numerical Analysis · Mathematics 2023-11-14 Mohammad Partohaghighi , Emmanuel Asante-Asamani , Olaniyi S. Iyiola

A path integral Monte Carlo method (PIMC) based on Feynman-Kac formula for mixed boundary conditions of elliptic equations is proposed to solve the forward problem of electrical impedance tomography (EIT) on the boundary to obtain…

Numerical Analysis · Mathematics 2019-08-01 Yijing Zhou , Wei Cai

The aim of this paper is to deal with multi-physics simulation of micro-electro-mechanical systems (MEMS) based on an advanced numerical methodology. MEMS are very small devices in which electric as well as mechanical and fluid phenomena…

Other Computer Science · Computer Science 2007-11-29 V. Rochus , J. -C. Golinval , C. Louis , C. Mendez , I. Klapka