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This paper presents a novel algorithm integrating global and robust optimization methods to solve continuous non-convex quadratic problems under convex uncertainty sets. The proposed Robust spatial branch-and-bound (RsBB) algorithm combines…

Optimization and Control · Mathematics 2025-11-18 Asimina Marousi , Vassilis M. Charitopoulos

Data gridding is a common task in astronomy and many other science disciplines. It refers to the resampling of irregularly sampled data to a regular grid. We present cygrid, a library module for the general purpose programming language…

Instrumentation and Methods for Astrophysics · Physics 2016-06-08 B. Winkel , D. Lenz , L. Flöer

We present a new parallel PM N-body code named PMFAST that is freely available to the public. PMFAST is based on a two-level mesh gravity solver where the gravitational forces are separated into long and short range components. The…

Astrophysics · Physics 2007-05-23 Hugh Merz , Ue-Li Pen , Hy Trac

Floating-base multi-link robots can change their shape during flight, making them well-suited for applications in confined environments such as autonomous inspection and search and rescue. However, trajectory planning for such systems…

Robotics · Computer Science 2026-04-07 Yicheng Chen , Jinjie Li , Haokun Liu , Zicheng Luo , Kotaro Kaneko , Moju Zhao

A new algorithm for numerical integration of the rigid-body equations of motion is proposed. The algorithm uses the leapfrog scheme and the quantities involved are angular velocities and orientational variables which can be expressed in…

Computational Physics · Physics 2016-09-08 Igor P. Omelyan

Direct $N$-body simulations of star clusters are accurate but expensive, largely due to the numerous $\mathcal{O} (N^2)$ pairwise force calculations. To solve the post-million-body problem, it will be necessary to use approximate force…

Astrophysics of Galaxies · Physics 2021-08-24 Diptajyoti Mukherjee , Qirong Zhu , Hy Trac , Carl L. Rodriguez

FLY is a parallel treecode which makes heavy use of the one-sided communication paradigm to handle the management of the tree structure. In its public version the code implements the equations for cosmological evolution, and can be run for…

Astrophysics · Physics 2009-11-10 V. Antonuccio-Delogu , U. Becciani , D. Ferro

Despite the rapid development of quantum science and technology, errors are inevitable and play a crucial role in quantum simulation and quantum computation. In quantum chaotic systems, coherent errors arising from imperfect Hamiltonian…

Quantum Physics · Physics 2026-01-09 Zeyu Liu , Pengfei Zhang

We discuss the performance of direct summation codes used in the simulation of astrophysical stellar systems on highly distributed architectures. These codes compute the gravitational interaction among stars in an exact way and have an…

Astrophysics · Physics 2008-11-26 Alessia Gualandris , Simon Portegies Zwart , Alfredo Tirado-Ramos

This paper addresses the problem of multi-robot coordination for complex manipulation task sequences. We present a vision-driven task-and-motion planning (TAMP) framework for a real dual-agent platform that integrates task decomposition and…

Robotics · Computer Science 2026-04-22 Abdelaziz Shaarawy , Cansu Erdogan , Rustam Stolkin , Alireza Rastegarpanah

Upcoming Large Scale Structure surveys aim to achieve an unprecedented level of precision in measuring galaxy clustering. However, accurately modeling these statistics may require theoretical templates that go beyond second-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 M. Icaza-Lizaola , Yong-Seon Song , Minji Oh , Yi Zheng

We present $\texttt{Abacus}$, a fast and accurate cosmological $N$-body code based on a new method for calculating the gravitational potential from a static multipole mesh. The method analytically separates the near- and far-field forces,…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-25 Lehman H. Garrison , Daniel J. Eisenstein , Douglas Ferrer , Nina A. Maksimova , Philip A. Pinto

QAssemble is a pure-Python package for the quantum many-body problem. It implements various functional approaches, such as tight-binding, Hartree-Fock, and GW approximations within a unified object-oriented architecture. Each physical…

Strongly Correlated Electrons · Physics 2026-04-27 Seongjun Mo , Dongming Li , Mancheon Han , Johan Jönsson , Byungkyun Kang , Hoonkyung Lee , Gabriel Kotliar , Sangkook Choi

Numerical simulations have become one of the key tools used by theorists in all the fields of astrophysics and cosmology. The development of modern tools that target the largest existing computing systems and exploit state-of-the-art…

This paper presents an octree construction method, called Cornerstone, that facilitates global domain decomposition and interactions between particles in mesh-free numerical simulations. Our method is based on algorithms developed for 3D…

Instrumentation and Methods for Astrophysics · Physics 2023-07-14 Sebastian Keller , Aurélien Cavelan , Rubén Cabezon , Lucio Mayer , Florina M. Ciorba

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

It is found that the coupled piNNN-NNN system breaks into fragments in a nontrivial way. Assuming the particles as distinguishable, there are indeed four modes of fragmentation into two clusters, while in the standard three-body problem…

Nuclear Theory · Physics 2008-11-26 L. Canton

(Abridged) We have developed a numerical software library for collisionless N-body simulations named "Phantom-GRAPE" which highly accelerates force calculations among particles by use of a new SIMD instruction set extension to the x86…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Ataru Tanikawa , Kohji Yoshikawa , Keigo Nitadori , Takashi Okamoto

Braids are periodic solutions to the general N-body problem in gravitational dynamics. These solutions seem special and unique, but they may result from rather usual encounters between four bodies. We aim at understanding the existence of…

Astrophysics of Galaxies · Physics 2026-03-11 Simon Portegies Zwart , Arjen Doelman , Jelmer Sein

We review the recent optimizations of gravitational $N$-body kernels for running them on graphics processing units (GPUs), on single hosts and massive parallel platforms. For each of the two main $N$-body techniques, direct summation and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-22 Simon Portegies Zwart , Jeroen Bédorf