On an Integrated Computational Environment for Numerical Algebra

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

2 Цитирования (Scopus)

Аннотация

This paper describes the conception, general architecture, data structure, and main components of an Integrated Computational Environment (ICE) for the high-performance solution of a wide class of numerical algebraic problems on heterogeneous supercomputers with distributed and hierarchical shared memory. The tasks considered include systems of linear algebraic equations (SLAEs), various eigenvalue problems, and transformations of algebraic objects with large sparse matrices. These tasks arise in various approximations of multidimensional initial boundary value problems on unstructured grids. A quite large variety of types of matrices, featuring diverse structural, spectral, and other properties are allowed; there can also be a wide diversity of algorithms for computational algebra. There are relevant issues associated with scalable parallelism through hybrid programming on heterogeneous multiprocessor systems, MPI-processes, multithread computing, and vectorization of operations, including those without formal constraints on the number of degrees of freedom and on the number of computing units. The numerical methods and technologies are implemented in the KRYLOV library, which provides the integrated subsystem of the ICE. There are various technical requirements imposed upon the software: extendibility of the set of problems and algorithms, adaptation to the evolution of supercomputer architecture, ability to reuse external products, and coordinated participation of development groups taking part in the project. The end goal of these requirements is to provide a product featuring a long life cycle, high performance, and general acceptance among end users of diverse professional backgrounds.

Язык оригиналаанглийский
Название основной публикацииParallel Computational Technologies - 13th International Conference, PCT 2019, Revised Selected Papers
РедакторыLeonid Sokolinsky, Mikhail Zymbler
ИздательSpringer-Verlag GmbH and Co. KG
Страницы91-106
Число страниц16
ISBN (печатное издание)9783030281625
DOI
СостояниеОпубликовано - 1 янв 2019
Событие13th International Scientific Conference on Parallel Computational Technologies, PCT 2019 - Kaliningrad, Российская Федерация
Продолжительность: 2 апр 20194 апр 2019

Серия публикаций

НазваниеCommunications in Computer and Information Science
Том1063
ISSN (печатное издание)1865-0929
ISSN (электронное издание)1865-0937

Конференция

Конференция13th International Scientific Conference on Parallel Computational Technologies, PCT 2019
СтранаРоссийская Федерация
ГородKaliningrad
Период02.04.201904.04.2019

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  • Цитировать

    Il’in, V. (2019). On an Integrated Computational Environment for Numerical Algebra. В L. Sokolinsky, & M. Zymbler (Ред.), Parallel Computational Technologies - 13th International Conference, PCT 2019, Revised Selected Papers (стр. 91-106). (Communications in Computer and Information Science; Том 1063). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-030-28163-2_7