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In this paper we propose a continuous data assimilation (downscaling) algorithm for a two-dimensional B\'enard convection problem. Specifically we consider the two-dimensional Boussinesq system of a layer of incompressible fluid between two…

Analysis of PDEs · Mathematics 2017-02-01 Aseel Farhat , Evelyn Lunasin , Edriss S. Titi

In this paper, a two-step strategy for parametric sensitivity analysis for such systems is proposed, exploiting advantages and synergies between two recently proposed sensitivity analysis methodologies for stochastic dynamics. The first…

Molecular Networks · Quantitative Biology 2016-02-17 Georgios Arampatzis , Markos A. Katsoulakis , Yannis Pantazis

We present a second-order gradient analysis of light transport in participating media and use this to develop an improved radiance caching algorithm for volumetric light transport. We adaptively sample and interpolate radiance from sparse…

Graphics · Computer Science 2018-05-24 Julio Marco , Adrian Jarabo , Wojciech Jarosz , Diego Gutierrez

In industrial anomaly detection, model efficiency and mobile-friendliness become the primary concerns in real-world applications. Simultaneously, the impressive generalization capabilities of Segment Anything (SAM) have garnered broad…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Chenghao Li , Lei Qi , Xin Geng

In the linear regime, Onsager's response matrix provides the coupling between heat and charge currents crossing a section of thermoelectric materials of infinitesimal thickness. Integrating this response over the finite thickness of a…

Statistical Mechanics · Physics 2024-12-20 Paul Raux , Christophe Goupil , Gatien Verley

We consider the homogenization of a model of reactive flows through periodic porous media involving a single solute which can be absorbed and desorbed on the pore boundaries. This is a system of two convection-diffusion equations, one in…

Analysis of PDEs · Mathematics 2014-12-30 Grégoire Allaire , Harsha Hutridurga

We present a stochastic setting for optimization problems with nonsmooth convex separable objective functions over linear equality constraints. To solve such problems, we propose a stochastic Alternating Direction Method of Multipliers…

Machine Learning · Computer Science 2013-01-23 Hua Ouyang , Niao He , Alexander Gray

This paper deals with the time differential dual-phase-lag heat transfer models aiming, at first, to identify the eventually restrictions that make them thermodynamically consistent. At a first glance it can be observed that the capability…

Mathematical Physics · Physics 2021-03-19 Stan Chirita , Michele Ciarletta , Vincenzo Tibullo

Accurate knowledge of absorption coefficient of a sample is a prerequisite for measuring the third order optical nonlinearity of materials, which could become a serious limitation for unknown samples. We introduce a new method, which…

Optics · Physics 2007-05-23 S. Abbas Hosseini , A. Sharan , D. Goswami

In this work, we combine a stochastic model reduction with a particle filter augmented with tempering and jittering, and apply the combined algorithm to a damped and forced incompressible 2D Euler dynamics defined on a simply connected…

Applications · Statistics 2020-08-25 Colin Cotter , Dan Crisan , Darryl D. Holm , Wei Pan , Igor Shevchenko

Quantum heat transfer through a generic superconducting set-up consisting of a tunable transmon qubit placed between resonators that are termined by thermal reservoirs is explored. Two types of architectures are considered, a sequential and…

Quantum Physics · Physics 2021-03-24 Meng Xu , J. T. Stockburger , J. Ankerhold

Although the Boltzmann transport equation (BTE) has been exploited to investigate non-diffusive phonon transport for decades, due to the challenges of solving this integro-differential equation, most standard techniques for thermal…

Materials Science · Physics 2024-08-13 Tao Li , Bo Jiang , Zhen Chen

We present a simple experiment on thermal diffusion in metal rods that can be used to integrate computation into the advanced lab. An analytical solution exists for the transient heat conduction in an infinite rod with a delta function heat…

Physics Education · Physics 2025-06-05 Yash Mohod , Matthew C. Sullivan

Owing to their sensitivity to temperature fluctuations, normal metal-insulator-superconductor (NIS) junctions are leveraged in various thermal devices. This study illustrates that two NISIN reservoirs can achieve a measurable negative…

Mesoscale and Nanoscale Physics · Physics 2025-07-10 M. Pioldi , G. De Simoni , A. Braggio , F. Giazotto

The effect of anisotropic order parameter to specific heat of anisotropic two-band superconductors in BCS weak-coupling limit are investigated. An analytical specific heat jump and the numerical specific heat are shown by using anisotropic…

Superconductivity · Physics 2015-05-13 P. Udomsamuthirun , R. Peamsuwan , C. Kumvongsa

This work builds on the previous introduction [1] of a coupled experimental-computational system devised to fully characterize the thermal behavior of complex 3D submicron electronic devices. The new system replaces the laser-based surface…

Materials Science · Physics 2007-09-13 Peter E. Raad , Pavel L. Komarov , M. Burzo

The Adomian Decomposition Method (ADM) is a very effective approach for solving broad classes of nonlinear partial and ordinary differential equations, with important applications in different fields of applied mathematics, engineering,…

Instrumentation and Methods for Astrophysics · Physics 2021-02-23 Man Kwong Mak , Chun Sing Leung , Tiberiu Harko

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

We analyze the non-Fourier dual-phase-lag heat conduction process in a three-dimensional medium heated by a moving circular or annular laser beam, which is modeled by a set of point heat sources in the cross-section. In order to solve the…

Classical Physics · Physics 2023-08-08 Kaiyuan Chen , Longkun Fan , Zhicheng Hu , Yixin Xu

Advanced metering infrastructure (AMI) has been widely used as an intelligent energy consumption measurement system. Electric power was the representative energy source that can be collected by AMI; most existing studies to detect abnormal…

Machine Learning · Computer Science 2023-05-05 Taehee Kim , Hyuk-Yoon Kwon
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