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Context. Ubiquitous small-scale vortical motions are seen to occur in the solar atmosphere both in simulations and observations. They are thought to play a significant role in the local heating of the quiet chromosphere and corona. In a…

太阳与恒星天体物理 · 物理学 2023-12-25 J. R. Canivete Cuissa , O. Steiner

In exploratory factor analysis, rotation techniques are employed to derive interpretable factor loading matrices. Factor rotations deal with equality-constrained optimization problems aimed at determining a loading matrix based on measure…

统计理论 · 数学 2025-05-01 Ryoya Fukasaku , Michio Yamamoto , Yutaro Kabata , Yasuhiko Ikematsu , Kei Hirose

We consider the elastic wave scattering problem involving rigid obstacles. This work addresses the inverse problem of reconstructing the position and shape of such obstacles using far-field measurements. A novel monotonicity-based approach…

偏微分方程分析 · 数学 2025-06-06 Mengjiao Bai , Huaian Diao , Weisheng Zhou

Outcome Reporting Bias (ORB) poses significant threats to the validity of meta-analytic findings. It occurs when researchers selectively report outcomes based on the significance or direction of results, potentially leading to distorted…

统计方法学 · 统计学 2025-07-17 Alessandra Gaia Saracini , Leonhard Held

We propose a modification of the standard inverse scattering transform for the focusing nonlinear Schr\"odinger equation (also other equations by natural generalization) formulated with nonzero boundary conditions at infinity. The purpose…

可精确求解与可积系统 · 物理学 2017-10-19 Deniz Bilman , Peter D. Miller

A lattice Boltzmann method (LBM) with enhanced stability and accuracy is presented for various Hermite tensor-based lattice structures. The collision operator relies on a regularization step, which is here improved through a recursive…

We improve the effective-one-body (EOB) description of nonspinning coalescing black hole binaries by incorporating several recent analytical advances, notably: (i) logarithmic contributions to the conservative dynamics; (ii) resummed…

广义相对论与量子宇宙学 · 物理学 2013-04-17 Thibault Damour , Alessandro Nagar , Sebastiano Bernuzzi

This paper examines an averaging technique in which the nonlinear flux term is expanded and the convective velocities are passed through a low-pass filter. It is the intent that this modification to the nonlinear flux terms will result in…

流体动力学 · 物理学 2009-07-02 Gregory Norgard , Kamran Mohseni

In this paper, we introduce a numerical renormalization group procedure which permits long-time simulations of vortex dynamics and coalescence in a 2D turbulent decaying fluid. The number of vortices decreases as $N\sim t^{-\xi}$, with…

统计力学 · 物理学 2009-10-31 Clément Sire , Pierre-Henri Chavanis

We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $\beta \mapsto \set{\alpha+\beta}$, $\alpha \in \R\setminus \Q$. In…

动力系统 · 数学 2007-08-02 Claudio Bonanno , Stefano Isola

This work deals with shape optimization of electric machines using isogeometric analysis. Isogeometric analysis is particularly well suited for shape optimization as it allows to easily modify the geometry without remeshing the domain. A…

计算工程、金融与科学 · 计算机科学 2021-06-03 Melina Merkel , Peter Gangl , Sebastian Schöps

We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle, and treats not only barotropic but also baroclinic…

太阳与恒星天体物理 · 物理学 2017-03-15 Nobutoshi Yasutake , Kotaro Fujisawa , Shoichi Yamada

In this paper, we discuss a novel higher-order stabilization-free virtual element method for general second-order elliptic eigenvalue problems. Optimal a priori error estimates are derived for both the approximate eigenspace and…

数值分析 · 数学 2026-04-07 Liangkun Xu , Shixi Wang , Yidu Yang , Hai Bi

A modified Burgers vortex is considered where the vortex lines are convected toward the y axis and stretched along the y axis. Exact solutions are found for a particular time dependent flow parameter.

数学物理 · 物理学 2009-01-12 David K. Rollins

Radar odometry estimation has emerged as a critical technique in the field of autonomous navigation, providing robust and reliable motion estimation under various environmental conditions. Despite its potential, the complex nature of radar…

机器人学 · 计算机科学 2024-04-08 Matteo Frosi , Mirko Usuelli , Matteo Matteucci

Discretization of Navier-Stokes' equations using pressure-robust finite element methods is considered for the high Reynolds number regime. To counter oscillations due to dominating convection we add a stabilization based on a bulk term in…

We introduce a varying-order (VO) NURBS discretization method to enhance the performance of the IGA technique for three-dimensional large deformation frictional contact problems. Based on the promising results obtained with the previous…

数值分析 · 数学 2025-03-06 Vishal Agrawal

The venerable 2D point-vortex model plays an important role as a simplified version of many disparate physical systems, including superfluids, Bose-Einstein condensates, certain plasma configurations, and inviscid turbulence. This system is…

混沌动力学 · 物理学 2013-05-29 Spencer A. Smith , Bruce M. Boghosian

We study the generalized point-vortex problem and the Gross-Pitaevskii equation on surfaces of revolution. We find rotating periodic solutions to the generalized point-vortex problem, which have two two rings of $n$ equally spaced vortices…

动力系统 · 数学 2014-05-27 Ko-Shin Chen

Quadratic regression (QR) models naturally extend linear models by considering interaction effects between the covariates. To conduct model selection in QR, it is important to maintain the hierarchical model structure between main effects…

统计方法学 · 统计学 2016-07-15 Ning Hao , Yang Feng , Hao Helen Zhang