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We propose an approach to assess the synchronization of rigidly mounted sensors based on their rotational motion. Using function similarity measures combined with a sliding window approach, our approach is capable of estimating time-varying…

Robotics · Computer Science 2024-10-01 Thomas Wodtko , Alexander Scheible , Michael Buchholz

In this work, we consider the error estimates and the long-time conservation or near-conservation of geometric structures, including energy, mass shell and phase-space volume, for four two-step symmetric methods applied to relativistic…

Numerical Analysis · Mathematics 2025-09-05 Ting Li , Bin Wang , Ruili Zhang

In this paper we develop adaptive iterative coupling schemes for the Biot system modeling coupled poromechanics problems. We particularly consider the space-time formulation of the fixed-stress iterative scheme, in which we first solve the…

Numerical Analysis · Mathematics 2024-12-20 Elyes Ahmed , Jan Martin Nordbotten , Florin Adrian Radu

This paper addresses the scheduling problem of minimizing the total weighted tardiness on a single machine with step-deteriorating jobs. With the assumption of deterioration, the job processing times are modeled by step functions of job…

Optimization and Control · Mathematics 2014-11-04 Peng Guo , Wenming Cheng , Yi Wang

Simulation of many-particle system evolution by molecular dynamics takes to decrease integration step to provide numerical scheme stability on the sufficiently large time interval. It leads to a significant increase of the volume of…

Numerical Analysis · Mathematics 2016-05-19 Eduard G. Nikonov

The ever-increasing number of WSN deployments based on a large number of battery-powered, low-cost sensor nodes, which are limited in their computing and power resources, puts the focus of WSN time synchronization research on three major…

Networking and Internet Architecture · Computer Science 2019-06-24 Xintao Huan , Kyeong Soo Kim , Sanghyuk Lee , Eng Gee Lim , Alan Marshall

Cloud and precipitation microphysics packages in atmospheric general circulation models typically use first-order time integration methods with a large time step, requiring ad hoc limiters and substepping of the sedimentation scheme to…

Atmospheric and Oceanic Physics · Physics 2026-03-13 Justin Dong , Sean P. Santos , Steven B. Roberts , Christopher J. Vogl , Carol S. Woodward

Much of standard galaxy dynamics rests on the implicit assumption that the corresponding N-body problem is (near) integrable. This notion although leading to great simplification is by no means a fact. It is therefore important to develop…

Astrophysics · Physics 2008-02-03 Amr El-Zant

The three-step alternating iteration scheme for finding an iterative solution of a singular (non-singular) linear systems in a faster way was introduced by Nandi {\it et al.} [Numer. Algorithms; 84 (2) (2020) 457-483], recently. The authors…

Numerical Analysis · Mathematics 2023-05-09 Vaibhav Shekhar , Punit Sharma

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

Methodology · Statistics 2013-04-03 Dennis Wei , Alfred O. Hero

N-body algorithms for long-range unscreened interactions like gravity belong to a class of highly irregular problems whose optimal solution is a challenging task for present-day massively parallel computers. In this paper we describe a…

Computational Physics · Physics 2009-10-30 U. Becciani , R. Ansaloni , V. Antonuccio-Delogu , G. Erbacci , M. Gambera , A. Pagliaro , -

We develop time integration methods in low-rank representation that can adaptively adjust approximation ranks to achieve a prescribed accuracy, while ensuring that these ranks remain proportional to the corresponding best approximation…

Numerical Analysis · Mathematics 2025-07-22 Markus Bachmayr , Matthieu Dolbeault , Polina Sachsenmaier

Modeling self-gravity of collisionless fluids (e.g. ensembles of dark matter, stars, black holes, dust, planetary bodies) in simulations is challenging and requires some force softening. It is often desirable to allow softenings to evolve…

Astrophysics of Galaxies · Physics 2025-12-22 Philip F. Hopkins , Ethan O. Nadler , Michael Y. Grudic , Xuejian Shen , Isabel Sands , Fangzhou Jiang

The $N$-body problem is of historical significance because it was the first implementation of the Newtonian dynamical laws for the description of our Solar System. Motivated by this, the project's goal is to revisit this problem for small…

Computational Physics · Physics 2020-12-08 Achilleas Mavrakis , Konstantinos Kritos

Traditional force-controlled bipedal walking utilizes highly bent knees, resulting in high torques as well as inefficient, and unnatural motions. Even with advanced planning of center of mass height trajectories, significant amounts of…

Robotics · Computer Science 2019-08-01 Robert J. Griffin , Sylvain Bertrand , Georg Wiedebach , Alexander Leonessa , Jerry Pratt

We study the convergence behavior of the stochastic heavy-ball method with a small stepsize. Under a change of time scale, we approximate the discrete method by a stochastic differential equation that models small random perturbations of a…

Probability · Mathematics 2019-10-21 Wenqing Hu , Chris Junchi Li , Xiang Zhou

Within this paper, we introduce and analyze a novel time stepping scheme for linear poroelasticity. In each time frame, we iteratively solve the flow and mechanics equations with an additional damping step for the pressure variable.…

Numerical Analysis · Mathematics 2025-03-12 R. Altmann , M. Deiml

Parallel iterative applications often suffer from load imbalance, one of the most critical performance degradation factors. Hence, load balancing techniques are used to distribute the workload evenly to maximize performance. A key challenge…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

Advances in the variational approach to the $n$-body problem have led to significant progress in celestial mechanics, uncovering new types of possible orbits. In this paper, critical points of the Lagrangian action associated with the…

Dynamical Systems · Mathematics 2025-05-08 Roberto Ciccarelli , Margaux Introna , Susanna Terracini , Massimiliano Vasile

Effective human-robot teaming is crucial for the practical deployment of robots in human workspaces. However, optimizing joint human-robot plans remains a challenge due to the difficulty of modeling individualized human capabilities and…

Robotics · Computer Science 2026-04-22 Alex Cuellar , Michael Hagenow , Julie Shah