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These lecture notes are designed to accompany an imaginary, virtual, undergraduate, one or two semester course on fundamentals of Parallel Computing as well as to serve as background and reference for graduate courses on High-Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-02 Jesper Larsson Träff

Concurrently coupled numerical simulations using heterogeneous solvers are powerful tools for modeling multiscale phenomena. However, major modifications to existing codes are often required to enable such simulations, posing significant…

Computational Physics · Physics 2015-05-18 Yu-Hang Tang , Shuhei Kudo , Xin Bian , Zhen Li , George E. Karniadakis

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

We investigate a parallelization strategy for dense matrix factorization (DMF) algorithms, using OpenMP, that departs from the legacy (or conventional) solution, which simply extracts concurrency from a multithreaded version of BLAS. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-20 Sandra Catalán , Adrián Castelló , Francisco D. Igual , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

Matlab is one of the most widely used mathematical computing environments in technical computing. It has an interactive environment which provides high performance computing (HPC) procedures and easy to use. Parallel computing with Matlab…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-28 Zaid Abdi Alkareem Alyasseri

MPI+Threads, embodied by the MPI/OpenMP hybrid programming model, is a parallel programming paradigm where threads are used for on-node shared-memory parallelization and MPI is used for multi-node distributed-memory parallelization. OpenMP…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Hui Zhou , Ken Raffenetti , Junchao Zhang , Yanfei Guo , Rajeev Thakur

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

The material in this note is used as an introduction to distributed algorithms in a four year course on software and automatic control system in the computer technology department of the Komsomolsk-on-Amur state technical university. All…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-18 Ahmet A. Husainov

A key motivation in the development of Distributed Model Predictive Control (DMPC) is to accelerate centralized Model Predictive Control (MPC) for large-scale systems. DMPC has the prospect of scaling well by parallelizing computations…

Optimization and Control · Mathematics 2025-04-16 Gösta Stomberg , Maurice Raetsch , Alexander Engelmann , Timm Faulwasser

A new scalable parallel math library, dMath, is presented in this paper that demonstrates leading scaling when using intranode, or internode, hybrid-parallelism for deep-learning. dMath provides easy-to-use distributed base primitives and a…

Neural and Evolutionary Computing · Computer Science 2016-04-07 Steven Eliuk , Cameron Upright , Anthony Skjellum

Message Passing Interface (MPI) is the most commonly used paradigm in writing parallel programs since it can be employed not only within a single processing node but also across several connected ones. Data flow analysis concepts,…

Programming Languages · Computer Science 2013-11-06 Alaa Ismail Elnashar , Sultan Aljahdali , Mosaid Al Sadhan

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

Differential Dynamic Programming (DDP) is an efficient computational tool for solving nonlinear optimal control problems. It was originally designed as a single shooting method and thus is sensitive to the initial guess supplied. This work…

Robotics · Computer Science 2023-09-29 He Li , Wenhao Yu , Tingnan Zhang , Patrick M. Wensing

We present MGPU, a C++ programming library targeted at single-node multi-GPU systems. Such systems combine disproportionate floating point performance with high data locality and are thus well suited to implement real-time algorithms. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-03 Sebastian Schaetz , Martin Uecker

The paper presents a parallel math library, dMath, that demonstrates leading scaling when using intranode, internode, and hybrid-parallelism for deep learning (DL). dMath provides easy-to-use distributed primitives and a variety of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-24 Steven Eliuk , Cameron Upright , Hars Vardhan , Stephen Walsh , Trevor Gale

We evaluate optimized parallel sparse matrix-vector operations for two representative application areas on widespread multicore-based cluster configurations. First the single-socket baseline performance is analyzed and modeled with respect…

Performance · Computer Science 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske , Gerhard Wellein

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

Manual parallelization of code remains a significant challenge due to the complexities of modern software systems and the widespread adoption of multi-core architectures. This paper introduces OMPar, an AI-driven tool designed to automate…

Computation and Language · Computer Science 2024-09-24 Tal Kadosh , Niranjan Hasabnis , Prema Soundararajan , Vy A. Vo , Mihai Capota , Nesreen Ahmed , Yuval Pinter , Gal Oren

This paper presents our work toward correct and efficient automatic differentiation of OpenMP parallel worksharing loops in forward and reverse mode. Automatic differentiation is a method to obtain gradients of numerical programs, which are…

Mathematical Software · Computer Science 2021-11-04 Jan Hückelheim , Laurent Hascoët

We present the parallel particle filtering (PPF) software library, which enables hybrid shared-memory/distributed-memory parallelization of particle filtering (PF) algorithms combining the Message Passing Interface (MPI) with multithreading…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-07 Ömer Demirel , Ihor Smal , Wiro Niessen , Erik Meijering , Ivo F. Sbalzarini