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An exact method to compute the entire equilibrium reduced density matrix for systems characterized by a system-bath Hamiltonian is presented. The approach is based upon a stochastic unraveling of the influence functional that appears in the…

介观与纳米尺度物理 · 物理学 2015-06-04 Jeremy M. Moix , Yang Zhao , Jianshu Cao

Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) is a nonlinear control technique that assigns a port-Hamiltonian (pH) structure to a controlled system using a state-feedback law. While IDA-PBC has been extensively…

机器人学 · 计算机科学 2026-01-06 Nicolò Botteghi , Owen Brook , Urban Fasel , Federico Califano

Fourier Neural Operators (FNO) have emerged as promising solutions for efficiently solving partial differential equations (PDEs) by learning infinite-dimensional function mappings through frequency domain transformations. However, the…

机器学习 · 计算机科学 2025-05-22 Tianyu Chen , Haoyi Zhou , Ying Li , Hao Wang , Zhenzhe Zhang , Tianchen Zhu , Shanghang Zhang , Jianxin Li

Bose-Einstein condensates (BECs) in periodic potentials generate interesting physics on the instabilities of Bloch states. The lowest-energy Bloch states of BECs in pure nonlinear lattices are dynamically and Landau unstable, which breaks…

量子气体 · 物理学 2023-05-01 Jun Hong , Chenhui Wang , Yongping Zhang

The electric field integral equation is a well known workhorse for obtaining fields scattered by a perfect electric conducting (PEC) object. As a result, the nuances and challenges of solving this equation have been examined for a while.…

计算物理 · 物理学 2017-11-22 Xin Fu , Jie Li , Li Jun Jiang , Balasubramaniam Shanker

We have previously demonstrated that a switched affine system is stabilisable independently of the initial condition, i.e. there exists an asymptotically stabilising switching function which is the same for all initial conditions, if and…

最优化与控制 · 数学 2025-04-17 Christopher Townsend , Maria M. Seron

By working out the Bethe sum rule, a boundary condition that takes the form of a linear equality is derived for the fine structure observed in ionization edges present in electron energy-loss spectra. This condition is subsequently used as…

材料科学 · 物理学 2024-11-08 Daen Jannis , Wouter Van den Broek , Zezhong Zhang , Sandra Van Aert , Jo Verbeeck

Electromagnetic interference (EMI) is a significant challenge for low-field MRI systems operating without conventional Faraday-shielded rooms. Traditional EMI mitigation approaches include external shields, subject grounding via electrodes,…

医学物理 · 物理学 2026-05-26 Julia Pfitzer , Martin Uecker , Hermann Scharfetter

In this paper, a novel convexification approach for Small-Signal Stability Constraint Optimal Power Flow (SSSC-OPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition…

最优化与控制 · 数学 2021-09-17 Parikshit Pareek , Hung D. Nguyen

An original expectation propagation (EP) based message passing framework is introduced, wherein transmitted symbols are considered to belong to the multivariate white Gaussian distribution family. This approach allows deriving a novel class…

信号处理 · 电气工程与系统科学 2020-01-29 Serdar Şahin , Antonio M. Cipriano , Charly Poulliat , Marie-Laure Boucheret

We propose a new discrete FFT-based method for computational homogenization of micromechanics on a regular grid that is simple, fast and robust. The discretization scheme is based on a tetrahedral stencil that displays three crucial…

数值分析 · 数学 2024-05-21 Alphonse Finel

We consider a robust impulse control problem in finite horizon where the underlying uncertainty stems from an impulsively and continuously controlled functional stochastic differential equation (FSDE) driven by Brownian motion. We assume…

最优化与控制 · 数学 2021-03-31 Magnus Perninge

Electrical impedance tomography (EIT) is highly affected by modeling errors regarding electrode positions and the shape of the imaging domain. In this work, we propose a new inclusion detection technique that is completely independent of…

偏微分方程分析 · 数学 2018-10-11 Bastian Harrach , Eunjung Lee , Marcel Ullrich

Electrochemical Impedance Spectroscopy (EIS) is a crucial technique for assessing corrosion of a metallic materials. The analysis of EIS hinges on the selection of an appropriate equivalent circuit model (ECM) that accurately characterizes…

This work investigates an elliptic optimal control problem defined on uncertain domains and discretized by a fictitious domain finite element method and cut elements. Key ingredients of the study are to manage cases considering the usually…

数值分析 · 数学 2022-04-06 Aikaterini Aretaki , Efthymios N. Karatzas

The paper studies a geometrically unfitted finite element method (FEM), known as trace FEM or cut FEM, for the numerical solution of the Stokes system posed on a closed smooth surface. A trace FEM based on standard Taylor-Hood (continuous…

数值分析 · 数学 2020-04-13 Maxim A. Olshanskii , Arnold Reusken , Alexander Zhiliakov

Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing acceleration algorithms for SIEs, such as the adaptive…

计算工程、金融与科学 · 计算机科学 2021-07-13 Shashwat Sharma , Piero Triverio

In this work we explore the fidelity of numerical approximations to the analytic spectra of hyperbolic partial differential equation systems with variable coefficients. We are particularly interested in the ability of discrete methods to…

数值分析 · 数学 2025-08-12 Brittany A. Erickson

Consider a linear autonomous Hamiltonian system with a time periodic bound state solution. In this paper we study the structural instability of this bound state ^M relative to time almost periodic perturbations which are small, localized…

斑图形成与孤子 · 物理学 2009-09-25 Eduard Kirr , Michael I. Weinstein

In order to prevent the potential frequency instability due to the high Power Electronics (PE) penetration under an unintentional islanding event, this paper presents a novel microgrid scheduling model which explicitly models the system…

系统与控制 · 电气工程与系统科学 2021-07-01 Zhongda Chu , Ning Zhang , Fei Teng
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