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Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability,…

Computational Physics · Physics 2021-06-14 Shashwat Sharma , Piero Triverio

We consider a coupled system composed of a linear differential-algebraic equation (DAE) and a linear large-scale system of ordinary differential equations where the latter stands for the dynamics of numerous identical particles. Replacing…

Numerical Analysis · Mathematics 2020-11-02 Steffen Plunder , Bernd Simeon

This paper studies the contraction property of time-varying differential-algebraic equation (DAE) systems by embedding them to higher-dimension ordinary differential equation (ODE) systems. The first result pertains to the equivalence of…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Hao Yin , Bayu Jayawardhana , Stephan Trenn

Intelligent reflective surfaces (IRSs) are invoked for improving both spectral efficiency (SE) and energy efficiency (EE). Specifically, an IRS-aided multiple-input multiple-output network is considered, where the performance of randomly…

Information Theory · Computer Science 2021-02-25 Tianwei Hou , Yuanwei Liu , Zhengyu Song , Xin Sun , Yue Chen , Lajos Hanzo

The $\Sigma$-method for structural analysis of a differential-algebraic equation (DAE) system produces offset vectors from which the sparsity pattern of a system Jacobian is derived. This pattern implies a block-triangular form (BTF) of the…

Numerical Analysis · Mathematics 2014-11-18 John D. Pryce , Nedialko S. Nedialkov , Guangning Tan

A theory is constructed for dense ionic solutions near charged planar walls that is valid for strong inter-ionic correlations. This theory predicts a fluctuation-induced, first-order transition and spontaneous charge density ordering at the…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 David T. Limmer

We have developed a simulation model to describe particle adsorption to and desorption from liquid interfaces. Using this model we formulate a closed interfacial equation of state for repulsive elastic spheres. The effect of a long-range…

Soft Condensed Matter · Physics 2011-02-24 Robert D. Groot , Simeon D. Stoyanov

Direction-of-Arrival (DoA) estimation assisted with an Intelligent Reflecting Surface (IRS) is crucial for various wireless applications, especially in challenging Non-Line-of-Sight (NLoS) environments. This paper presents a novel neural…

Signal Processing · Electrical Eng. & Systems 2025-05-23 Yasin Azhdari , Mahmoud Farhang

Differential algebraic equations (DAEs) describe the temporal evolution of systems that obey both differential and algebraic constraints. Of particular interest are systems that contain implicit relationships between their components, such…

Machine Learning · Computer Science 2025-07-23 James Koch , Madelyn Shapiro , Himanshu Sharma , Draguna Vrabie , Jan Drgona

Power systems are highly complex, large-scale engineering systems subject to many uncertainties, which makes accurate mathematical modeling challenging. This paper proposes a novel, centralized dynamic state estimator for power systems that…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Milos Katanic , John Lygeros , Gabriela Hug

Neural surrogates for stiff differential-algebraic equations (DAEs) face two barriers: soft-constraint methods leave algebraic residuals that stiffness amplifies into errors, and hard-constraint methods require trajectory data from stiff…

Machine Learning · Computer Science 2026-04-28 Huy Hoang Le , Haoguang Wang , Christian Moya , Marcos Netto , Guang Lin

In the context of high penetration of renewables, the need to build dynamic models of power system components based on accessible measurement data has become urgent. To address this challenge, firstly, a neural ordinary differential…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Tannan Xiao , Ying Chen , Shaowei Huang , Tirui He , Huizhe Guan

We develop a simple and reliable analytical model that allows describing the electromagnetic response of all-dielectric metasurfaces consisting of a single-layer array of high-permittivity spherical particles. By combining Mie theory with a…

Classical Physics · Physics 2020-12-21 Alessio Monti , Andrea Alù , Alessandro Toscano , Filiberto Bilotti

We consider a mixture of one neutral and two oppositely charged types of molecules confined to a surface. Using analytical techniques and molecular dynamics simulations, we construct the phase diagram of the system and exhibit the…

Soft Condensed Matter · Physics 2009-11-11 Sharon M. Loverde , Francisco Solis , Monica Olvera de la Cruz

As energy efficiency became a critical factor in the embedded systems domain, dynamic voltage and frequency scaling (DVFS) techniques have emerged as means to control the system's power and energy efficiency. Additionally, due to the…

Hardware Architecture · Computer Science 2016-01-11 Jonatan Waern , Per Ekemark , Konstantinos Koukos , Stefanos Kaxiras , Alexandra Jimborean

The geometry of the intermediate state (IS) flux structures of type-I superconductors, observed during early stages of magnetic flux penetration induced by an externally applied perpendicular magnetic field, is approached in terms of…

Superconductivity · Physics 2023-11-09 Pavol Valko , Thomas A. Girard

Accurate ab initio modelling of surfaces and interfaces, especially under an applied external potential bias, is important for describing and characterizing various phenomena that occur in electronic, catalytic, and energy storage devices.…

Materials Science · Physics 2025-06-10 Kartick Ramakrishnan , Gopalakrishnan Sai Gautam , Phani Motamarri

In structural dynamics, energy dissipative mechanisms with non-viscous damping are characterized by their dependence on the time-history of the response velocity, mathematically represented by convolution integrals involving hereditary…

Dynamical Systems · Mathematics 2018-05-22 Mario Lázaro

Different from the quasi-static network in the traditional power system, the dynamic network in the power-electronic-dominated power system should be considered due to rapid response of converters' controls. In this paper, a nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Rui Ma , Xiaowen Yang , Meng Zhan

Ensuring protective device coordination is critical to maintain the resilience and improve the reliability of large microgrids. Inverter-interfaced generation, however, poses significant challenges when designing protection systems.…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Arthur K. Barnes , Sarbajit Basu , Adam Mate