[LIBRO][B] Improvements in CAD-based quantifier elimination

H Hong - 1990 - search.proquest.com
Many important mathematical and applied mathematical problems can be formulated as
quantifier elimination problems (QE) in elementary algebra and geometry. Among several …

[HTML][HTML] Distributed Maple: parallel computer algebra in networked environments

W Schreiner, C Mittermaier, K Bosa - Journal of Symbolic Computation, 2003 - Elsevier
We describe the design and use of Distributed Maple, an environment for executing parallel
computer algebra programs on multiprocessors and heterogeneous clusters. The system …

[PDF][PDF] A case study of multi-threaded Gröbner basis completion

B Amrhein, O Gloor, W Küchlin - … of the 1996 international symposium on …, 1996 - dl.acm.org
We investigate sources of parallelism in the Grobner Basis algorithm for their practical use
on the desk-top. Our execution environment is a standard multi-processor workstation, and …

Symgrid: a framework for symbolic computation on the grid

K Hammond, AA Zain, G Cooperman, D Petcu… - … Conference on Parallel …, 2007 - Springer
This paper introduces the design of SymGrid, a new Grid framework that will, for the first
time, allow multiple invocations of symbolic computing applications to interact via the Grid …

An object-oriented platform for distributed high-performance symbolic computation

W Blochinger, W Küchlin, C Ludwig, A Weber - … and Computers in …, 1999 - Elsevier
We describe the distributed object-oriented threads system (DOTS), a programming
environment designed to support object-oriented fork/join parallel programming in a …

HPC‐GAP: engineering a 21st‐century high‐performance computer algebra system

R Behrends, K Hammond, V Janjic… - Concurrency and …, 2016 - Wiley Online Library
Symbolic computation has underpinned a number of key advances in Mathematics and
Computer Science. Applications are typically large and potentially highly parallel, making …

A fine-grained parallel completion procedure

R Bündgen, M Göbel, W Küchlin - Proceedings of the international …, 1994 - dl.acm.org
We present a parallel Knuth-Bendix completion algorithm where the inner loop, deriving the
consequences of adding a new rule to the system, is multi-threaded. The selection of the …

The S-threads environment for parallel symbolic computation

W Küchlin - International Workshop on Computer Algebra and …, 1990 - Springer
This paper presents a programming environment, based on threads of control, that is
suitable for parallel symbolic computation on shared memory multiprocessors. The S …

Distributed symbolic computation with DTS

T Bubeck, M Hiller, W Küchlin, W Rosenstiel - Parallel Algorithms for …, 1995 - Springer
We describe the design and implementation of the Distributed Threads System (DTS), a
programming environment for the parallelization of irregular and highly data-dependent …

On a Java Computer Algebra System, its performance and applications

H Kredel - Science of Computer Programming, 2008 - Elsevier
This paper considers Java as an implementation language for a starting part of a computer
algebra library. It describes a design of basic arithmetic and multivariate polynomial …