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A new gradient-based adaptive sampling method is proposed for design of experiments applications which balances space filling, local refinement, and error minimization objectives while reducing reliance on delicate tuning parameters. High…

Methodology · Statistics 2024-05-09 Lucas Caparini , Gwynn J. Elfring , Mauricio Ponga

Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally refined dyadic grids. Divergence cleaning is used to control…

Numerical Analysis · Mathematics 2021-02-24 Anna Karina Fontes Gomes , Margarete Oliveira Domingues , Odim Mendes , Kai Schneider

Calibrating blackbox machine learning models to achieve risk control is crucial to ensure reliable decision-making. A rich line of literature has been studying how to calibrate a model so that its predictions satisfy explicit finite-sample…

Machine Learning · Statistics 2025-06-02 Victor Li , Baiting Chen , Yuzhen Mao , Qi Lei , Zhun Deng

In sight of fundamental thermal limits on further substantial performance improvements of modern digital computational processing units, wave-based analog computation is becoming an enticing alternative. A wave, as it propagates through a…

Classical Physics · Physics 2018-12-05 Philipp del Hougne , Geoffroy Lerosey

Motivated by the very low diffusivity recently found in ab initio simulations of liquid water, we have studied its dependence with temperature, system size, and duration of the simulations. We use ab initio molecular dynamics (AIMD),…

Soft Condensed Matter · Physics 2009-11-10 M. V. Fernandez-Serra , Emilio Artacho

We present an alternative "encapsulated" formulation of the Selective Frequency Damping method for finding unstable equilibria of dynamical systems, which is particularly useful when analysing the stability of fluid flows. The formulation…

Fluid Dynamics · Physics 2015-06-18 Bastien E. Jordi , C. J. Cotter , Spencer J. Sherwin

Images captured in challenging environments often experience various forms of degradation, including noise, color cast, blur, and light scattering. These effects significantly reduce image quality, hindering their applicability in…

Computer Vision and Pattern Recognition · Computer Science 2025-06-26 Abbas Anwar , Mohammad Shullar , Ali Arshad Nasir , Mudassir Masood , Saeed Anwar

To address the challenges of bidirectional tidal energy utilization efficiency and operational reliability of tidal turbines under low-flow conditions, this paper presents a novel hollow adaptive variable-pitch tidal energy generator based…

Applied Physics · Physics 2025-05-15 Jianmei Chen , Chi Xiao , Zhuo Wang , Mingxing Xie , Wanqiang Zhu

Adaptive finite element methods are a powerful tool to obtain numerical simulation results in a reasonable time. Due to complex chemical and mechanical couplings in lithium-ion batteries, numerical simulations are very helpful to…

Numerical Analysis · Mathematics 2024-04-17 Raphael Schoof , Lennart Flür , Florian Tuschner , Willy Dörfler

The Black Box Variational Inference (Ranganath et al. (2014)) algorithm provides a universal method for Variational Inference, but taking advantage of special properties of the approximation family or of the target can improve the…

Computation · Statistics 2019-06-18 Alexander Immer , Guillaume P. Dehaene

Studies of biochemical liquids require precise determination of their complex permittivity. We developed a microwave characterization technique on the basis of a high-quality whispering-gallery mode (WGM) sapphire resonator with a…

Rocking or wave-mixed bioreactors have emerged as a promising innovation in the production of cultivated meat due to their disposable nature, low operating costs, and scalability. However, despite these advantages, the performance of…

Fluid Dynamics · Physics 2025-04-09 Minki Kim , Daniel M. Harris , Radu Cimpeanu

We describe a microfluidic device for studying the orientational dynamics of microrods. The device enables us to experimentally investigate the tumbling of microrods immersed in the shear flow in a microfluidic channel with a depth of 400…

Fluid Dynamics · Physics 2012-06-13 Y. N. Mishra , J. Einarsson , O. A. John , P. Andersson , B. Mehlig , D. Hanstorp

Meta-Black-Box Optimization (MetaBBO) garners attention due to its success in automating the configuration and generation of black-box optimizers, significantly reducing the human effort required for optimizer design and discovering…

Machine Learning · Computer Science 2025-05-20 Jiyuan Pei , Yi Mei , Jialin Liu , Mengjie Zhang

Dynamic radiative thermal control is crucial for normal operation and energy saving of spacecraft that copes with changing thermal environment involving heat dissipation to cold deep space, external heating from the Sun and nearby planet,…

Applied Physics · Physics 2025-12-25 Liping Wang , Neal Boman , Sydney Taylor , Chloe Stoops

To study the resolution required for simulating gravitational fragmentation with newly developed Lagrangian hydrodynamic schemes, Meshless Finite Volume method (MFV) and Meshless Finite Mass method (MFM), we have performed a number of…

Instrumentation and Methods for Astrophysics · Physics 2021-04-28 Yasuyoshi Yamamoto , Takashi Okamoto , Takayuki R. Saitoh

We study the discretisation of a uniaxial (rank-one) reduction of the Oldroyd-B model for dilute polymer solutions, in which the conformation tensor is represented as $\sig = \vec b \otimes \vec b$. Building on structural analogies with…

Numerical Analysis · Mathematics 2025-11-26 Ben S. Ashby , Gabriel R. Barrenechea , Alex Lukyanov , Tristan Pryer , Alex Trenam

This paper introduces a relaxed noise calibration method to enhance data utility while attaining pufferfish privacy. This work builds on the existing $1$-Wasserstein (Kantorovich) mechanism by alleviating the existing overly strict…

Cryptography and Security · Computer Science 2026-01-13 Wenjin Yang , Ni Ding , Zijian Zhang , Jing Sun , Zhen Li , Yan Wu , Jiahang Sun , Haotian Lin , Yong Liu , Jincheng An , Liehuang Zhu

In this paper we consider the lowest edge-based mimetic finite difference (MFD) discretization in space for Maxwell's equations in cold plasma on rectangular meshes. The method uses a generalized form of mass lumping that, on one hand,…

Numerical Analysis · Mathematics 2016-04-06 V. A. Bokil , V. Gyrya , D. A. McGregor

An adaptive regularization strategy for stabilizing Newton-like iterations on a coarse mesh is developed in the context of adaptive finite element methods for nonlinear PDE. Existence, uniqueness and approximation properties are known for…

Numerical Analysis · Mathematics 2015-01-27 Sara Pollock
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