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The open-source nonlinear solver Ipopt (https://projects.coin-or.org/Ipopt) is a widely-used software package for the solution of large-scale non-linear optimization problems. At its heart, it employs a third-party linear solver to solve a…

Optimization and Control · Mathematics 2013-01-31 J. D. Hogg , J. A. Scott

Nested parallelism exists in scientific codes that are searching multi-dimensional spaces. However, implementations of nested parallelism often have overhead and load balance issues. The Orbital Analysis code we present exhibits a sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 Benjamin James Gaska , Neha Jothi , Mahdi Soltan Mohammadi , Kat Volk , Michelle Mills Strout

Polylab is a MATLAB toolbox for multivariate polynomial scalars and polynomial matrices with a unified symbolic-numeric interface across CPU and GPU-oriented backends. The software exposes three aligned classes: MPOLY for CPU execution,…

Mathematical Software · Computer Science 2026-04-10 Yi-Shuai Niu , Shing-Tung Yau

Usage of multiprocessor and multicore computers implies parallel programming. Tools for preparing parallel programs include parallel languages and libraries as well as parallelizing compilers and convertors that can perform automatic…

Mathematical Software · Computer Science 2022-12-12 Pavel Telegin , Anton Baranov , Boris Shabanov , Artem Tikhomirov

Lattice Boltzmann method (LBM) is a promising approach to solving Computational Fluid Dynamics (CFD) problems, however, its nature of memory-boundness limits nearly all LBM algorithms' performance on modern computer architectures. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-11 Yuankun Fu , Fengguang Song

With rapidly evolving technology, multicore and manycore processors have emerged as promising architectures to benefit from increasing transistor numbers. The transition towards these parallel architectures makes today an exciting time to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-01 Ashkan Tousimojarad , Wim Vanderbauwhede

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

We develop a new interior-point algorithm for solving multiconic optimization problems using the parabolic target space approach. The feasible cone in these problems is composed as a direct product of many small-dimensional cones. Our…

Optimization and Control · Mathematics 2026-05-14 Marianna E. -Nagy , Yurii Nesterov , Petra Renáta Rigó

Multi-step reasoning is a fundamental challenge in artificial intelligence, with applications ranging from mathematical problem-solving to decision-making in dynamic environments. Reinforcement Learning (RL) has shown promise in enabling…

Machine Learning · Computer Science 2025-07-24 Tao Xu , Dung-Yang Lee , Momiao Xiong

The described works have been carried out in the framework of a mid-term study initiated by the Centre Electronique de l'Armement, then by an advanced study launched by the Direction de la Recherche et des Etudes Technologiques in France in…

Computational Geometry · Computer Science 2016-05-04 Olivier Guye

The applicability of the Parareal parallel-in-time integration scheme for the solution of a linear, two-dimensional hyperbolic acoustic-advection system, which is often used as a test case for integration schemes for numerical weather…

Computational Engineering, Finance, and Science · Computer Science 2015-10-09 Daniel Ruprecht , Rolf Krause

We present the first open release of the DCA++ project, a high-performance research software framework to solve quantum many-body problems with cutting edge quantum cluster algorithms. DCA++ implements the dynamical cluster approximation…

An open-source middleware EigenKernel was developed for use with parallel generalized eigenvalue solvers or large-scale electronic state calculation to attain high scalability and usability. The middleware enables the users to choose the…

Multidimensional scaling visualizes dissimilarities among objects and reduces data dimensionality. While many methods address symmetric proximity data, asymmetric and especially three-way proximity data (capturing relationships across…

Methodology · Statistics 2025-11-21 Aleix Alcacer , Rafael Benitez , Vicente J. Bolos , Irene Epifanio

Parallel computing is omnipresent in today's scientific computer landscape, starting at multicore processors in desktop computers up to massively parallel clusters. While domain decomposition methods have a long tradition in computational…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , J. H. Den Besten , M. Möller

This book focuses on the use of algorithmic high-level synthesis (HLS) to build application-specific FPGA systems. Our goal is to give the reader an appreciation of the process of creating an optimized hardware design using HLS. Although…

Hardware Architecture · Computer Science 2018-05-11 Ryan Kastner , Janarbek Matai , Stephen Neuendorffer

Computational protein structure determination involves optimization in a problem space much too large to exhaustively search. Existing approaches include optimization algorithms such as gradient descent and simulated annealing, but these…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Michael Bryson , Xijiang Miao , Homayoun Valafar

The Hiperwalk package is designed to facilitate the simulation of quantum walks using heterogeneous high-performance computing, taking advantage of the parallel processing power of diverse processors such as CPUs, GPUs, and acceleration…

Quantum Physics · Physics 2024-06-13 Paulo Motta , Gustavo A. Bezerra , Anderson F. P. Santos , Renato Portugal

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

As high-performance computing (HPC) moves into the exascale era, computer scientists and engineers must find innovative ways of transferring and processing unprecedented amounts of data. As the scale and complexity of the applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-30 Melissa Romanus , Robert B. Ross , Manish Parashar