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Electromigration (EM) induced stress evolution is a major reliability challenge in nanometer-scale VLSI interconnects. Accurate EM analysis requires solving stress-governing partial differential equations over large interconnect trees,…

Hardware Architecture · Computer Science 2026-03-27 Sheldon X. -D. Tan , Haotian Lu

Electromigration (EM) is a key reliability issue in deeply scaled technology nodes. Traditional EM methods first filter immortal wires using the Blech criterion, and then perform EM analysis based on Black's equation on the remaining wires.…

Hardware Architecture · Computer Science 2026-03-17 Mohammad Abdullah Al Shohel , Vidya A. Chhabria , Sachin S. Sapatnekar

For electromagnetic transient (EMT) simulation of a power system, a state-space-based approach needs to solve state-space EMT equations by using numerical integration methods, e.g., the Euler method, Runge-Kutta methods, and…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Min Xiong , Rui Yao , Yang Liu , Kai Sun , Feng Qiu

Electromigration (EM) is one of the major concerns in the reliability analysis of very large scale integration (VLSI) systems due to the continuous technology scaling. Accurately predicting the time-to-failure of integrated circuits (IC)…

Machine Learning · Computer Science 2022-05-19 Tianshu Hou , Peining Zhen , Ngai Wong , Quan Chen , Guoyong Shi , Shuqi Wang , Hai-Bao Chen

Electromagnetic transient (EMT) simulation is a crucial tool for power system dynamic analysis because of its detailed component modeling and high simulation accuracy. However, it suffers from computational burdens for large power grids…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Min Xiong , Kaiyang Huang , Yang Liu , Rui Yao , Kai Sun , Feng Qiu

Electromagnetic transient (EMT) simulation is essential for analyzing sub-cycle switching phenomena in industrial power systems; however, commercial EMT platforms present significant cost barriers for smaller utilities, consultancies, and…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Shankar Ramharack , Rajiv Sahadeo

The Earth Mover's Distance (EMD) computes the optimal cost of transforming one distribution into another, given a known transport metric between them. In deep learning, the EMD loss allows us to embed information during training about the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-24 Manuel Martinez , Monica Haurilet , Ziad Al-Halah , Makarand Tapaswi , Rainer Stiefelhagen

Two approaches for closing the turbulence subgrid-scale stress tensor in terms of matrix exponentials are introduced and compared. The first approach is based on a formal solution of the stress transport equation in which the production…

Fluid Dynamics · Physics 2009-01-21 Yi Li , Laurent Chevillard , Gregory Eyink , Charles Meneveau

A new approach for the parallel forward modeling of transient electromagnetic (TEM) fields is presented. It is based on a family of uniform-in-time rational approximants to the matrix exponential that share a common denominator independent…

Numerical Analysis · Mathematics 2025-06-16 Ralph-Uwe Börner , Stefan Güttel

Computational stress analysis is an important step in the design of material systems. Finite element method (FEM) is a standard approach of performing stress analysis of complex material systems. A way to accelerate stress analysis is to…

Materials Science · Physics 2023-01-02 Anindya Bhaduri , Ashwini Gupta , Lori Graham-Brady

It is very important to locate the short-circuit fault in a power system quickly and accurately. Electromagnetic time reversal (EMTR) has drawn increasing attention because of its clear physical background and excellent performance. This…

Computational Engineering, Finance, and Science · Computer Science 2021-12-14 Guanbo Wang , Chijie Zhuang , Rong Zeng

As inverter-based resources (IBRs) penetrate power systems, the dynamics become more complex, exhibiting multiple timescales, including electromagnetic transient (EMT) dynamics of power electronic controllers and electromechanical dynamics…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Kaiyang Huang , Min Xiong , Yang Liu , Kai Sun

In this work, we are interested in solving large linear systems stemming from the Extra-Membrane-Intra (EMI) model, which is employed for simulating excitable tissues at a cellular scale. After setting the related systems of partial…

Numerical Analysis · Mathematics 2023-08-24 Pietro Benedusi , Paola Ferrari , Marie Rognes , Stefano Serra-Capizzano

This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the…

Numerical Analysis · Mathematics 2023-01-04 Eleonora Denich , Paolo Novati , Stefano Picotti

Electromagnetic transient (EMT) models are index-2 differential-algebraic equations when they include certain topologies and are formulated with modified nodal analysis. Such systems are difficult to numerically integrate, a challenge that…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Fiona Majeau , Jose Daniel Lara , Eduardo Corona , Bri-Mathias Hodge

One well adopted power grid simulation methodology is to factorize matrix once and perform only backward forward substitution with a deliberately chosen step size along the simulation. Since the required simulation time is usually long for…

Computational Engineering, Finance, and Science · Computer Science 2013-10-16 Hao Zhuang , Shih-Hung Weng , Chung-Kuan Cheng

Electronic energy transfer in the condensed phase, such as that occurring in photosynthetic complexes, frequently occurs in regimes where the energy scales of the system and environment are similar. This situation provides a challenge to…

Statistical Mechanics · Physics 2015-06-03 Timothy C. Berkelbach , Thomas E. Markland , David R. Reichman

We provide a concise review of the exponentially convergent multiscale finite element method (ExpMsFEM) for efficient model reduction of PDEs in heterogeneous media without scale separation and in high-frequency wave propagation. ExpMsFEM…

Numerical Analysis · Mathematics 2023-02-07 Yifan Chen , Thomas Y. Hou , Yixuan Wang

This paper addresses the challenging problem of parameter estimation for multicomponent complex exponential signals, commonly known as sums of cisoids. Traditional approaches that estimate individual component parameters face significant…

Information Theory · Computer Science 2025-12-01 Huiguang Zhang

Traditional dynamic security assessment faces challenges as power systems are experiencing a transformation to inverter-based-resource (IBR) dominated systems, for which electromagnetic transient (EMT) dynamics have to be considered.…

Dynamical Systems · Mathematics 2023-02-21 Kaiyang Huang , Min Xiong , Yang Liu , Kai Sun , Feng Qiu
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