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In this paper, we present Ginkgo, a modern C++ math library for scientific high performance computing. While classical linear algebra libraries act on matrix and vector objects, Ginkgo's design principle abstracts all functionality as…

The first associations to software sustainability might be the existence of a continuous integration (CI) framework; the existence of a testing framework composed of unit tests, integration tests, and end-to-end tests; and also the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-19 Terry Cojean , Yu-Hsiang "Mike" Tsai , Hartwig Anzt

Sparse linear algebra is a cornerstone of many scientific computing and machine learning applications. Python has become a popular choice for these applications due to its simplicity and ease of use. Yet high performance sparse kernels in…

Mathematical Software · Computer Science 2025-10-10 Keshvi Tuteja , Gregor Olenik , Roman Mishchuk , Yu-Hsiang Tsai , Markus Götz , Achim Streit , Hartwig Anzt , Charlotte Debus

With AMD reinforcing their ambition in the scientific high performance computing ecosystem, we extend the hardware scope of the Ginkgo linear algebra package to feature a HIP backend for AMD GPUs. In this paper, we report and discuss the…

Mathematical Software · Computer Science 2020-06-26 Yuhsiang M. Tsai , Terry Cojean , Tobias Ribizel , Hartwig Anzt

The rapid and widespread adoption of Java has created a demand for reliable and reusable mathematical software components to support the growing number of compute-intensive applications now under development, particularly in science and…

Mathematical Software · Computer Science 2007-05-23 Ronald F. Boisvert , Jack J. Dongarra , Roldan Pozo , Karin Remington , G. W. Stewart

Various fields of science and engineering rely on linear algebra for large scale data analysis, modeling and simulation, machine learning, and other applied problems. Linear algebra computations often dominate the execution time of such…

Mathematical Software · Computer Science 2014-08-07 Boyana Norris , Sa-Lin Bernstein , Ramya Nair , Elizabeth Jessup

Sparse linear algebra is central to many scientific programs, yet compilers fail to optimize it well. High-performance libraries are available, but adoption costs are significant. Moreover, libraries tie programs into vendor-specific…

Performance · Computer Science 2020-01-29 Philip Ginsbach , Bruce Collie , Michael F. P. O'Boyle

A major challenge in the deployment of scientific software solutions is the adaptation of research prototypes to production-grade code. While high-level languages like MATLAB are useful for rapid prototyping, they lack the resource…

Mathematical Software · Computer Science 2025-12-30 Conrad Sanderson , Ryan Curtin

Software has the potential to be a key driver in fostering sustainability. Despite this potential, it is not clear if and how the software industry integrates consideration of sustainability into its common software development processes.…

Software Engineering · Computer Science 2024-07-25 Shola Oyedeji , Ruzanna Chitchyan , Mikhail Ola Adisa , Hatef Shamshiri

This report showcases the role of, and future directions for, the field of Randomized Numerical Linear Algebra (RNLA) in a selection of scientific applications. These applications span the domains of imaging, genomics and dynamical systems,…

This dissertation focuses on the design and the implementation of domain-specific compilers for linear algebra matrix equations. The development of efficient libraries for such equations, which lie at the heart of most software for…

Mathematical Software · Computer Science 2014-04-15 Diego Fabregat-Traver

The progression of scientific computing resources has enabled the numerical approximation of mathematical models describing complex physical phenomena. A significant portion of researcher time is typically dedicated to the development of…

Mathematical Software · Computer Science 2015-06-22 Paul T. Bauman , Roy H. Stogner

Software testing has received much attention over the last years and has reached such critical importance that agile software development practices put software testing at its core. Agile software development is successfully applied in…

Software Engineering · Computer Science 2020-10-09 Tom-Robin Teschner

This work focuses on the numerical study of a recently published class of Runge-Kutta methods designed for mixed-precision arithmetic. We employ the methods in solving partial differential equations on modern hardware. In particular we…

Numerical Analysis · Mathematics 2024-12-24 Ivo Dravins , Marcel Koch , Victoria Griehl , Katharina Kormann

The paper describes the need for and goals of tool-integration within software development processes. In particular we focus on agile software development but are not limited to. The integration of tools and data between the different…

Software Engineering · Computer Science 2013-11-25 Max Wielsch , Raik Bieniek , Bernd Grams , Jörg Lässig

Numerical software in computational science and engineering often relies on highly-optimized building blocks from libraries such as BLAS and LAPACK, and while such libraries provide portable performance for a wide range of computing…

Mathematical Software · Computer Science 2019-06-21 Daniele G. Spampinato , Diego Fabregat-Traver , Markus Püschel , Paolo Bientinesi

Software quality is considered as one of the most important challenges in software engineering. It has many dimensions which differ from users' point of view that depend on their requirements. Therefore, those dimensions lead to difficulty…

Software Engineering · Computer Science 2019-06-21 Anas Shatnawi

In the field of scientific computing, one often finds several alternative software packages (with open or closed source code) for solving a specific problem. These packages sometimes even use alternative methodological approaches, e.g.,…

Porting applications to new hardware or programming models is a tedious and error prone process. Every help that eases these burdens is saving developer time that can then be invested into the advancement of the application itself instead…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-07 Erik Zenker , Benjamin Worpitz , René Widera , Axel Huebl , Guido Juckeland , Andreas Knüpfer , Wolfgang E. Nagel , Michael Bussmann

Linear algebra is a major field of numerical computation and is widely applied. Most linear algebra libraries (in most programming languages) do not statically guarantee consistency of the dimensions of vectors and matrices, causing runtime…

Programming Languages · Computer Science 2015-12-08 Akinori Abe , Eijiro Sumii
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