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Modeling of fluid flows requires corresponding adequate and effective approaches that would account for multiscale nature of the considered physics. Despite the tremendous growth of computational power in the past decades, modeling of fluid…

Fluid Dynamics · Physics 2025-06-24 Arsen S. Iskhakov , Nam T. Dinh

A support structure is required to successfully create structural parts in the powder bed fusion process for additive manufacturing. In this study, we present the topology optimization of a support structure that improves the heat…

Computational Engineering, Finance, and Science · Computer Science 2022-01-19 Takao Miki , Shinji Nishiwaki

Exponential time differencing methods is a power tool for high-performance numerical simulation of computationally challenging problems in condensed matter physics, fluid dynamics, chemical and biological physics, where mathematical models…

Numerical Analysis · Mathematics 2024-10-15 Evelina V. Permyakova , Denis S. Goldobin

Predicting the mechanics of large structural networks, such as beam-based architected materials, requires a multiscale computational strategy that preserves information about the discrete structure while being applicable to large assemblies…

Computational Engineering, Finance, and Science · Computer Science 2024-03-15 Kevin Kraschewski , Gregory P. Phlipot , Dennis M. Kochmann

We construct a new class of phenomenological equations of state for homogeneous matter for use in simulations of hot and dense matter in local thermodynamic equilibrium. We construct a functional form which respects experimental,…

Nuclear Theory · Physics 2019-02-20 Xingfu Du , Andrew W. Steiner , Jeremy W. Holt

Thermally aware design of 2.5D and 3D advanced packaging systems will require fast, accurate, and powerful thermal analysis of chiplets, stacks, and packages. These systems contain multiple materials with non-linear heat transfer properties…

In-service structural health monitoring is a so far rarely exploited, yet potent option for early-stage crack detection and identification in train wheelset axles. This procedure is non-trivial to enforce on the basis of a purely…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Ehsan Naghizadeh , Eleni Chatzi , Paolo Tiso

In this work we propose to simulate many-body thermodynamics of infinite-size quantum lattice models in one, two, and three dimensions, in terms of few-body models of only O(10) sites, which we coin as quantum entanglement simulators…

Strongly Correlated Electrons · Physics 2019-05-23 Shi-Ju Ran , Bin Xi , Cheng Peng , Gang Su , Maciej Lewenstein

In this article, an efficient transient electricalthermal co-simulation method based on the finite element method (FEM) and the discontinuous Galerkin time-domain (DGTD) method is developed for electrical-thermal coupling analysis of…

Numerical Analysis · Mathematics 2023-04-06 Kai Zhu , Shunchuan Yang

We present the Super-Localized Orthogonal Decomposition (SLOD) method for the numerical homogenization of linear elasticity problems with multiscale microstructures modeled by a heterogeneous coefficient field without any periodicity or…

Numerical Analysis · Mathematics 2025-01-10 Camilla Belponer , José C. Garay , Peter Munch , Daniel Peterseim

The present study concerns the numerical homogenization of second order hyperbolic equations in non-divergence form, where the model problem includes a rapidly oscillating coefficient function. These small scales influence the large scale…

Numerical Analysis · Mathematics 2018-10-22 Doghonay Arjmand , Gunilla Kreiss

Climate models play a crucial role in understanding the effect of environmental and man-made changes on climate to help mitigate climate risks and inform governmental decisions. Large global climate models such as the Community Earth System…

Applications · Statistics 2020-12-02 Niccolò Dalmasso , Galen Vincent , Dorit Hammerling , Ann B. Lee

Hybrid Energy Systems (HES), amalgamating renewable sources, energy storage, and conventional generation, have emerged as a responsive resource for providing valuable grid services. Subsequently, modeling and analysis of HES has become…

Optimization and Control · Mathematics 2024-03-19 Tanmay Mishra , Amritanshu Pandey , Mads R. Almassalkhi

The autoregressive decoding in LLMs is the major inference bottleneck due to the memory-intensive operations and limited hardware bandwidth. 3D-stacked architecture is a promising solution with significantly improved memory bandwidth, which…

Hardware Architecture · Computer Science 2025-11-20 Siyuan He , Peiran Yan , Yandong He , Youwei Zhuo , Tianyu Jia

High-temperature dimensional reduction provides a systematic effective field theory framework for studying finite-temperature thermodynamics and cosmological phase transitions. While the matching of super-renormalizable operators in the…

High Energy Physics - Phenomenology · Physics 2026-05-15 Fabio Bernardo , Romain Guillermo Reinle , Philipp Schicho

This letter proposes a three-tier computational architecture for the real-time control of nonlinear complex systems, such as time-dependent PDEs. There is an important class of such problems for which existing single- and two-time-scale…

Optimization and Control · Mathematics 2026-01-06 Vyacheslav Kungurtsev

Post-hoc recalibration methods are widely used to ensure that classifiers provide faithful probability estimates. We argue that parametric recalibration functions based on logistic regression can be motivated from a simple theoretical…

Machine Learning · Computer Science 2026-03-11 Eugène Berta , David Holzmüller , Michael I. Jordan , Francis Bach

Identifying spatial heterogeneous patterns has attracted a surge of research interest in recent years, due to its important applications in various scientific and engineering fields. In practice the spatially heterogeneous components are…

Methodology · Statistics 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang

The interplay between crystalline symmetry and band topology gives rise to unprecedented lower-dimensional boundary states in higher-order topological insulators (HOTIs). However, the measurement of the topological invariants of HOTIs…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Ling Lin , Chaohong Lee

We show that the general and numerically exact Hierarchy of Pure States method (HOPS) is very well applicable to calculate the reduced dynamics of an open quantum system. In particular we focus on environments with a sub-Ohmic spectral…

Quantum Physics · Physics 2017-10-24 Richard Hartmann , Walter T. Strunz