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A domain decomposition method is proposed based on carefully chosen impedance transmission operators for a hybrid formulation of the eddy current problem. Preliminary analysis and numerical results are provided in the spherical case showing…

Numerical Analysis · Mathematics 2016-02-02 Y. Boubendir , H. Haddar , M. K. Riahi

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

Statistics Theory · Mathematics 2015-03-13 Pierre R Bertrand , Mehdi Fhima

This paper considers the analysis of continuous time gradient-based optimization algorithms through the lens of nonlinear contraction theory. It demonstrates that in the case of a time-invariant objective, most elementary results on…

Optimization and Control · Mathematics 2022-12-23 Patrick M. Wensing , Jean-Jacques E. Slotine

A proof of convergence is given for semi- and full discretizations of mean curvature flow of closed two-dimensional surfaces. The numerical method proposed and studied here combines evolving finite elements, whose nodes determine the…

Numerical Analysis · Mathematics 2019-06-27 Balázs Kovács , Buyang Li , Christian Lubich

For any dynamical system $T:X\rightarrow X$ of a compact metric space $X$ with $g-$almost product property and uniform separation property, under the assumptions that the periodic points are dense in $X$ and the periodic measures are dense…

Dynamical Systems · Mathematics 2015-11-19 Xueting Tian

This paper is the second in a two-part exposition on {\it surface-directed spinodal decomposition} (SDSD), i.e., the interplay of kinetics of wetting and phase separation at a surface which is wetted by one of the components of a binary…

Statistical Mechanics · Physics 2020-08-25 Prasenjit Das , Prabhat K. Jaiswal , Sanjay Puri

We propose a novel framework for learning time-varying graphs from spatiotemporal measurements. Given an appropriate prior on the temporal behavior of signals, our proposed method can estimate time-varying graphs from a small number of…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Haruki Yokota , Koki Yamada , Yuichi Tanaka , Antonio Ortega

Aims: The primary objective of this study is to search for and identify wave modes within a sunspot penumbra. Methods: Infrared spectropolarimetric time series data are inverted using a model comprising two atmospheric components in each…

Astrophysics · Physics 2007-07-23 D. S. Bloomfield , S. K. Solanki , A. Lagg , J. M. Borrero , P. S. Cally

We introduce a numerical method for reconstructing a multidimensional surface using the gradient of the surface measured at some values of the coordinates. The method consists of defining a multidimensional spline function and minimizing…

Computational Physics · Physics 2015-05-20 Gergely Endrodi

A two-level system subjected to a high-frequency driving field can exhibit an effect termed ``coherent destruction of tunneling'', in which the tunneling of the system is suppressed at certain values of the frequency and strength of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. E. Creffield

Traditional saliency map methods, popularized in computer vision, highlight individual points (pixels) of the input that contribute the most to the model's output. However, in time series, they offer limited insights, as semantically…

Machine Learning · Computer Science 2026-05-08 Christodoulos Kechris , Jonathan Dan , David Atienza

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we…

Soft Condensed Matter · Physics 2021-01-04 Jiarul Midya , Subir K. Das

Crumpled paper or drapery patterns are everyday examples of how elastic sheets can respond to external forcing. In this Letter, we study experimentally a novel sort of forcing. We consider a circular flexible plate clamped at its center and…

Soft Condensed Matter · Physics 2013-08-26 Lionel Schouveiler , Christophe Eloy

We analyze the long-term tidal evolution of a single-planet system through the use of numerical simulations and averaged equations giving the variations of semi-major axis and eccentricity of the relative orbit. For different types of…

Earth and Planetary Astrophysics · Physics 2015-05-13 Adrian Rodriguez , Sylvio Ferraz-Mello

We aim to reconstruct the latent space dynamics of high dimensional, quasi-stationary systems using model order reduction via the spectral proper orthogonal decomposition (SPOD). The proposed method is based on three fundamental steps: in…

Numerical Analysis · Mathematics 2022-08-17 Andrea Lario , Romit Maulik , Oliver T. Schmidt , Gianluigi Rozza , Gianmarco Mengaldo

We introduce a geometric condition of Bloch type which guarantees that a subset of a bounded convex domain in several complex variables is degenerate with respect to every iterated function system. Furthermore we discuss the relations of…

Complex Variables · Mathematics 2007-05-23 Filippo Bracci

Several lines of evidence suggest that the velocity amplitude in global simulations of solar convection, U, may be systematically over-estimated. Motivated by these recent results, we explore the factors that determine U and we consider how…

Solar and Stellar Astrophysics · Physics 2016-09-21 Bridget O'Mara , Mark S. Miesch , Nicholas A. Featherstone , K. C. Augustson

A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. The goal is to unify previously disconnected experimental observations of decaying surface…

Materials Science · Physics 2009-11-13 Dionisios Margetis

Ongoing and future surveys with repeat imaging in multiple bands are producing (or will produce) time-spaced measurements of brightness, resulting in the identification of large numbers of variable sources in the sky. A large fraction of…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Abhijit Saha , A. Katherina Vivas

The differential evolution indicators, recently introduced for imaging mechanical evolution in highly scattering solids, is examined in a laboratory setting with the focus on spatiotemporal tracking of an advancing damage zone in an elastic…

Applied Physics · Physics 2021-06-30 Fatemeh Pourahmadian