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In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

Optimization and Control · Mathematics 2014-11-19 Ion Necoara , Dragos Clipici

The density matrix renormalization group (DMRG) algorithm is a popular alternating minimization scheme for solving high-dimensional optimization problems in the tensor train format. Classical DMRG, however, is based on sequential…

Numerical Analysis · Mathematics 2025-12-09 Laura Grigori , Muhammad Hassan

In this paper, based on the overlapping domain decomposition method (DDM) proposed in \cite{Leng2015}, an one step preconditioner is proposed to solve 2D high frequency Helmholtz equation. The computation domain is decomposed in both $x$…

Numerical Analysis · Mathematics 2015-08-13 Wei Leng , Lili Ju

Work presented in this paper describes a general algorithm and its finite element implementation for performing concurrent multiple sub-domain simulations in linear structural dynamics. Using this approach one can solve problems in which…

Numerical Analysis · Mathematics 2013-12-25 Tejas Ruparel , Azim Eskandarian , James Lee

Real-time scheduling and locking protocols are fundamental facilities to construct time-critical systems. For parallel real-time tasks, predictable locking protocols are required when concurrent sub-jobs mutually exclusive access to shared…

Operating Systems · Computer Science 2020-07-03 Maolin Yang , Zewei Chen , Xu Jiang , Nan Guan , Hang Lei

We propose a novel centralized and decoupled algorithm, DDM, for solving multi-robot path planning problems in grid graphs, targeting on-demand and automated warehouse-like settings. Two settings are studied: a traditional one whose…

Robotics · Computer Science 2019-12-17 Shuai D. Han , Jingjin Yu

We present an algorithm for parallelising the TreePM code. We use both functional and domain decompositions. Functional decomposition is used to separate the computation of long range and short range forces, as well as the task of…

Astrophysics · Physics 2007-05-23 Suryadeep Ray , J. S. Bagla

This paper presents an optimized and scalable semi-Lagrangian solver for the Vlasov-Poisson system in six-dimensional phase space. Grid-based solvers of the Vlasov equation are known to give accurate results. At the same time, these solvers…

Computational Physics · Physics 2019-03-29 Katharina Kormann , Klaus Reuter , Markus Rampp

Drone cell (DC) is an emerging technique to offer flexible and cost-effective wireless connections to collect Internet-of-things (IoT) data in uncovered areas of terrestrial networks. The flying trajectory of DC significantly impacts the…

Networking and Internet Architecture · Computer Science 2019-07-30 Weisen Shi , Junling Li , Nan Cheng , Feng Lyu , Yanpeng Dai , Haibo Zhou , Xuemin , Shen

Recent results on supercomputers show that beyond 65K cores, the efficiency of molecular dynamics simulations of interfacial systems decreases significantly. In this paper, we introduce a dynamic cutoff method (DCM) for interfacial systems…

Computational Physics · Physics 2017-01-23 Paul Springer , Ahmed E. Ismail , Paolo Bientinesi

In this paper, we propose a domain decomposition dynamical low-rank method to solve high-dimensional radiative transfer problems and similar kinetic equations. The algorithm uses a separate low-rank approximation on each spatial subdomain,…

Numerical Analysis · Mathematics 2026-02-17 Stefan Brunner , Lukas Einkemmer , Terry Haut

The recently developed semi-Lagrangian discontinuous Galerkin approach is used to discretize hyperbolic partial differential equations (usually first order equations). Since these methods are conservative, local in space, and able to limit…

Computational Physics · Physics 2017-01-06 Lukas Einkemmer

In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great demand of parallel computing in order to solve this large-scale…

Numerical Analysis · Mathematics 2021-02-05 Huibin Chang , Roland Glowinski , Stefano Marchesini , Xue-cheng Tai , Yang Wang , Tieyong Zeng

This paper was prompted by numerical experiments we performed, in which algorithms already available in the literature (DVS-BDDM) yielded accelerations (or speedups) many times larger (more than seventy in some examples already treated, but…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Ismael Herrera-Revilla , Iván Contreras , Graciela S. Herrera

We study the effect of adaptive mesh refinement on a parallel domain decomposition solver of a linear system of algebraic equations. These concepts need to be combined within a parallel adaptive finite element software. A prototype…

Numerical Analysis · Mathematics 2020-01-08 Pavel Kůs , Jakub Šístek

This paper proposes a novel parallel coding transmission strategy and an iterative detection and decoding receiver signal processing technique for orthogonal delay-Doppler division multiplexing (ODDM) modulation. Specifically, the proposed…

Information Theory · Computer Science 2025-02-04 Qi Li , Jinhong Yuan , Min Qiu

Decoupling approach presents a novel solution/alternative to the highly time-consuming fluid-thermal-structural simulation procedures when thermal effects and resultant displacements on machine tools are analyzed. Using high dimensional…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-31 Janine Glänzel , Andreas Naumann , Tharun Suresh Kumar

We have found provably optimal algorithms for full-domain discrete-ordinate transport sweeps on a class of grids in 2D and 3D Cartesian geometry that are regular at a coarse level but arbitrary within the coarse blocks. We describe these…

We present and compare distributed parallelization strategies for the particle-in-Fourier (PIF) schemes used in kinetic plasma simulations. The different strategies are i) domain decomposition, where both the particles and Fourier modes are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Sriramkrishnan Muralikrishnan , Paul Fischill , Andreas Adelmann , Robert Speck

Differential Dynamic Programming (DDP) is an efficient trajectory optimization algorithm relying on second-order approximations of a system's dynamics and cost function, and has recently been applied to optimize systems with time-invariant…

Optimization and Control · Mathematics 2022-04-11 Alex Oshin , Matthew D. Houghton , Michael J. Acheson , Irene M. Gregory , Evangelos A. Theodorou