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In deep time series forecasting, the Fourier Transform (FT) is extensively employed for frequency representation learning. However, it often struggles in capturing multi-scale, time-sensitive patterns. Although the Wavelet Transform (WT)…

机器学习 · 计算机科学 2026-02-09 Ziyu Zhou , Jiaxi Hu , Qingsong Wen , James T. Kwok , Yuxuan Liang

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.…

动力系统 · 数学 2023-02-21 Kaiyang Huang , Min Xiong , Yang Liu , Kai Sun , Feng Qiu

The Finite Difference Time Domain (FDTD) method is a widely used numerical technique for solving Maxwell's equations, particularly in computational electromagnetics and photonics. It enables accurate modeling of wave propagation in complex…

计算与语言 · 计算机科学 2025-04-15 Yifei He , Måns I. Andersson , Stefano Markidis

A time domain electric field volume integral equation (TD-EFVIE) solver is proposed for analyzing electromagnetic scattering from dielectric objects with Kerr nonlinearity. The nonlinear constitutive relation that relates electric flux and…

计算工程、金融与科学 · 计算机科学 2024-05-22 Sadeed Bin Sayed , Rui Chen , Huseyin Arda Ulku , Hakan Bagci

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

数值分析 · 数学 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

We propose the time-delayed transformer (TD-TF), a simplified transformer architecture for data-driven modeling of unsteady spatio-temporal dynamics. TD-TF bridges linear operator-based methods and deep sequence models by showing that a…

机器学习 · 计算机科学 2026-02-10 Albert Alcalde , Markus Widhalm , Emre Yılmaz

With the rise of renewable energy sources and their high variability in generation, the management of power grids becomes increasingly complex and computationally demanding. Conventional AC-power-flow simulations, which use the…

人工智能 · 计算机科学 2026-03-31 Muhammed Öz , Jasmin Hörter , Kaleb Phipps , Charlotte Debus , Achim Streit , Markus Götz

With the high development of wireless communication techniques, it is widely used in various fields for convenient and efficient data transmission. Different from commonly used assumption of the time-invariant wireless channel, we focus on…

信息论 · 计算机科学 2020-11-10 Mengfan Liu , Rui Wang

During the last decades, international attempts have been made to develop realistic space weather prediction tools aiming to forecast the conditions on the Sun and in the interplanetary environment. These efforts have led to the development…

In this paper, we present a change point detection method for detecting change points in multivariate nonstationary wind speed time series. The change point method identifies changes in the covariance structure and decomposes the…

统计方法学 · 统计学 2021-05-25 Sakitha Ariyarathne , Harsha Gangammanavar , Raanju R. Sundararajan

Industrial Multivariate Time Series (MTS) is a critical view of the industrial field for people to understand the state of machines. However, due to data collection difficulty and privacy concerns, available data for building industrial…

机器学习 · 计算机科学 2024-10-23 Lei Ren , Haiteng Wang , Yuanjun Laili

This paper is concerned with an alternative analytical solution of time-fractional nonlinear Schrodinger equation and nonlinear coupled Schrodinger equation obtained by employing fractional reduced differential transform method. The…

数值分析 · 数学 2016-11-23 Brajesh Kumar Singh , Pramod Kumar

The proliferation and ubiquity of temporal data across many disciplines has sparked interest for similarity, classification and clustering methods specifically designed to handle time series data. A core issue when dealing with time series…

机器学习 · 计算机科学 2023-09-26 Iñigo Martinez

Dynamic mode decomposition (DMD) provides a principled approach to extract physically interpretable spatial modes from time-resolved flow field data, along with a linear model for how the amplitudes of these modes evolve in time. Recently,…

流体动力学 · 物理学 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

The finite difference time domain (FDTD) method has been successfully applied to obtain energies and wave functions for two electrons in a quantum dot modeled by a three dimensional harmonic potential. The FDTD method uses the…

计算物理 · 物理学 2017-06-12 I Wayan Sudiarta , Lily Maysari Angraini

Using an infinite Matrix Product State (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with…

统计力学 · 物理学 2018-07-23 Jad C. Halimeh , Valentin Zauner-Stauber

A parallel direct solution approach based on domain decomposition method (DDM) and directed acyclic graph (DAG) scheduling is outlined. Computations are represented as a sequence of small tasks that operate on domains of DDM or dense matrix…

分布式、并行与集群计算 · 计算机科学 2020-02-13 Javad Moshfegh , Dimitrios G. Makris , Marinos N. Vouvakis

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

数值分析 · 数学 2017-04-11 Travis Askham , J. Nathan Kutz

In this work, we combine an established method for open quantum systems -- the time evolving density matrix using orthogonal polynomials algorithm (TEDOPA) -- with the transfer tensors formalism (TTM), a new tool for the analysis,…

量子物理 · 物理学 2016-02-25 Robert Rosenbach , Javier Cerrillo , Susana F. Huelga , Jianshu Cao , Martin Bodo Plenio

Time domain simulations of electromagnetic problems are highly valuable in engineering applications, as they allow for the analysis of transient behavior and broadband responses. These simulations utilize time stepping schemes, where each…

计算物理 · 物理学 2024-10-23 Ruth Medeiros , Valentin de la Rubia