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In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigorous method, which is widely used %,often without rigorous…

The performance of irregular phased array architectures is assessed in the context of multi-user multiple-input multiple-output (MU-MIMO) communications operating beyond 100 GHz. Realizing half-wavelength spaced planar phased arrays is…

信号处理 · 电气工程与系统科学 2025-09-30 Yigit Ertugrul , Kamil Yavuz Kapusuz , Claude Desset , Sofie Pollin

Structure-preserving algorithms and algorithms with uniform error bound have constituted two interesting classes of numerical methods. In this paper, we blend these two kinds of methods for solving nonlinear Hamiltonian systems with highly…

数值分析 · 数学 2021-02-08 Bin Wang , Yaolin Jiang

The theory behind compressive sampling pre-supposes that a given sequence of observations may be exactly represented by a linear combination of a small number of basis vectors. In practice, however, even small deviations from an exact…

最优化与控制 · 数学 2014-06-30 Jonathan M. Nichols , Albert K. Oh , Rebecca M. Willett

The paper addresses state estimation for linear discrete-time systems with binary (threshold) measurements. A Moving Horizon Estimation (MHE) approach is followed and different estimators, characterized by two different choices of the cost…

系统与控制 · 计算机科学 2018-04-05 Giorgio Battistelli , Luigi Chisci , Stefano Gherardini

Calibration is crucial for ensuring the performance of phased array since amplitude-phase imbalance between elements results in significant performance degradation. While amplitude-only calibration methods offer advantages when phase…

信号处理 · 电气工程与系统科学 2025-04-24 Shiyuan Li , Yuyue Zhou , Chi Zhang , Liang Kong , Kebin Liu , Yihan Xie , Chong He

This paper is concerned with conditionally structure-preserving, low regularity time integration methods for a class of semilinear parabolic equations of Allen-Cahn type. Important properties of such equations include maximum bound…

数值分析 · 数学 2022-11-09 Cao-Kha Doan , Thi-Thao-Phuong Hoang , Lili Ju , Katharina Schratz

In the present work, a new approach is proposed for finding the analytical solution of population balances. This approach is relying on idea of Homotopy Perturbation Method (HPM). The HPM solves both linear and nonlinear initial and…

数值分析 · 数学 2017-12-27 Gurmeet Kaur , Randhir Singh , Mehakpreet Singh , Jitendra Kumar , Themis Matsoukas

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

数值分析 · 数学 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

Given a Hyperparameter Optimization(HPO) problem, how to design an algorithm to find optimal configurations efficiently? Bayesian Optimization(BO) and the multi-fidelity BO methods employ surrogate models to sample configurations based on…

机器学习 · 计算机科学 2024-02-22 Yang Zhang , Haiyang Wu , Yuekui Yang

In some previous works, two of the authors have introduced a strategy to develop high-order numerical methods for systems of balance laws that preserve all the stationary solutions of the system. The key ingredient of these methods is a…

数值分析 · 数学 2025-05-06 Irene Gómez-Bueno , Manuel Jesús Castro Díaz , Carlos Parés

Numerically estimating the integral of functions in high dimensional spaces is a non-trivial task. A oft-encountered example is the calculation of the marginal likelihood in Bayesian inference, in a context where a sampling algorithm such…

数据分析、统计与概率 · 物理学 2020-03-30 Allen Caldwell , Philipp Eller , Vasyl Hafych , Rafael C. Schick , Oliver Schulz , Marco Szalay

In this work, we propose and compare several approaches to solve the Boltzmann equation with uncertain parameters, including multi-level Monte Carlo and multi-fidelity methods that employ an asymptotic-preserving-hybrid (APH) scheme (Filbet…

数值分析 · 数学 2025-07-29 Yiwen Lin , Liu Liu

In traditional assembly lines, it is reasonable to assume that task execution times are the same for each worker. However, in sheltered work centres for disabled this assumption is not valid: some workers may execute some tasks considerably…

人工智能 · 计算机科学 2013-08-05 Leonardo Borba , Marcus Ritt

Multiple solutions are common in various non-convex problems arising from industrial and scientific computing. Nonetheless, understanding the nontrivial solutions' qualitative properties seems limited, partially due to the lack of efficient…

数值分析 · 数学 2025-04-17 Yangyi Ye , Lin Li , Pengcheng Xie , Haijun Yu

Time-harmonic solutions to the wave equation can be computed in the frequency or in the time domain. In the frequency domain, one solves a discretized Helmholtz equation, while in the time domain, the periodic solutions to a discretized…

数值分析 · 数学 2021-10-26 Christiaan C. Stolk

This research investigates a multi-product capacitated lot-sizing and scheduling problem incorporating a novel learning effect, namely the period-based learning effect. This is inspired by a real case in a core analysis laboratory under a…

We introduce an improved semiclassical dynamics approach to quantum vibrational spectroscopy. In this method, a harmonic-based phase space sampling is preliminarily driven toward non-harmonic quantization by slowly switching on the actual…

化学物理 · 物理学 2019-12-09 Riccardo Conte , Lorenzo Parma , Chiara Aieta , Alessandro Rognoni , Michele Ceotto

The dispersive character of the Hall-MHD solutions, in particular the whistler waves, is a strong restriction to numerical treatments of this system. Numerical stability demands a time step dependence of the form $\Delta t\propto (\Delta…

计算物理 · 物理学 2009-11-13 Lukas Arnold , Juergen Dreher , Rainer Grauer

We propose a novel numerical homogenization method based on the edge multiscale approach for solving indefinite time-harmonic Maxwell equations in heterogeneous media with large wavenumber. Numerical methods for these equations in…

数值分析 · 数学 2026-04-27 Yueqi Wang , Wing Tat Leung , Guanglian Li