Open Digital Research Environment Toolkit for the Advancement of Mathematics

Risultati finali

HPC enabled SAGE distribution
Micromagnetic VRE completed and online
Basic JUPYTER interface for GAP, PARI/GP, Singular
JUPYTER extension for 3D visualisation, demonstrated with computational fluid dynamics
Full-text Search (Formulae + Keywords) over LaTeX-based Documents (e.g. the arXiv subset)

Full-text Search (Formulae + Keywords) over LaTeX-based Documents (e.g. the arXiv subset)

Exploratory support for live notebook collaboration
Support for the SCSCP interface protocol in all relevant components (SAGE, GAP, etc.) distribution

Support for the SCSCP interface protocol in all relevant components (SAGE, GAP, etc.) distribution

Refactorisation of SAGE’s SPHINX documentation system
Virtual images and containers
Full-text search (Formulae + Keywords) in OpenDreamKit
Curated Math-in-the-Middle Ontology and Alignments for GAP/SAGE/LMFDB
Sun Grid Engine support for Project Jupyter Hub
One-click install SAGE distribution for Windows with Cygwin

One-click install SAGE distribution for Windows with Cygwin 32bits and 64bits

GAP/SAGE/LMFDB Interface Theories and alignment in OMDoc/MMT for System Interoperability
Design and implementation of Triform (DKS) Theories

Design of Triform (DKS) Theories (Specification/RNC Schema/Examples) and Implementation of Triform Theories in the MMT API

Packaging components and user-contributed code for major Linux distributions
Shared persistent Memoisation Library for PYTHON/SAGE
Tools for collaborating on notebooks via version-control
Python/Cython bindings for PARI and its integration in Sage
Second version of the PARI Python/Cython bindings
Full JUPYTER interface for GAP, PARI/GP, SAGE, Singular
Facilities for running notebooks as verification tests
Integration between SAGEMATHCLOUD and SAGE’s TRAC server

Distributed, Collaborative, Versioned Editing of Active Documents in MathHub.info

Exact linear algebra algorithms and implementations. Library maintenance and close integration in mathematical software for LINBOX library

Implementations of exact linear algebra algorithms on distributed memory et heterogenous architectures: clusters and accelerators. Solving large linear systems over the rationals is the target application.

In-place computation in active documents (context/computation)
PARI suite release (LIBPARI, GP and GP2C) that fully support parallelisation allowing individual implementations to scale gracefully between single core / multicore / massively parallel machines.

PARI suite release (LIBPARI, GP and GP2C) that fully support parallelisation allowing individual implementations to scale gracefully between single core / multicore / massively parallel machines.

Parallelise the Singular sparse polynomial multiplication algorithms and provide parallel versions of the Singular sparse polynomial division and GCD algorithms.

Take advantage of multiple cores in the matrix Fourier Algorithm component of the FFT for integer and polynomial arithmetic,and include assembly primitives for SIMD processor instructions (e.g. AVX, etc.), especially in the FFT butterflies

Refactor and Optimise the existing combinatorics SAGE code using the new developed PYTHRAN and CYTHON features

Facility to compile PYTHRAN compliant user kernels and Sage code and automatically take advantage of multi-cores and SIMD instruction units in CYTHON
Turn the Python prototypes for tree exploration into production code, integrate to SAGE.

Turn the Python prototypes for tree exploration into production code, integrate to SAGE.

Community-curated indexing service for OpenDreamKit

Community-curated indexing tool and service for OpenDreamKit

Make PYTHRAN typing better to improve error information.
Demonstrators: Problems in Physics with Sage, Computational Mathematics for Engineering
Write an assembly superoptimiser supporting AVX and upcoming Intel processor extensions for the MPIR library and optimise MPIR for modern processors
Continuous integration platform for multi-platform build/test.
Parallelise the relation sieving component of the Quadratic Sieve and implement a parallel version of Block-Wiederman linear algebra over GF2 and implement large prime variants

Parallelise the relation sieving component of the Quadratic Sieve and implement a parallel version of Block-Wiederman linear algebra over GF2 and implement large prime variants.

Notebook Import into MathHub.info (interactive display)
SAGE notebook / JUPYTER notebook convergence
Demonstrator: interactive books on Linear Algebra and Nonlinear Processes in Biology

Demonstrator: Nonlinear Processes in Biology interactive book

Exploratory support for semantic-aware interactive widgets providing views on objects represented and or in databases

Starting press release
Basic project infrastructure (websites, wikis, issue trackers, mailing lists, repositories)

Basic project infrastructure (websites, wikis, issuetrackers, mailing lists, repositories)

A short course for lecturers on using OpenDreamKit for delivering mathematical education.

Introduce OpenDreamKit to Researchers and Teachers as laid out in Task 2.6
Ending press release

Data Management Plan
Data Management Plan v2

Understand and document SAGEMATHCLOUD backend code.
The flow of code and patches in open source projects
Active/Structured Documents Requirements and existing Solutions
Final report and evaluation of the GAP developments
Initial DKS base Design (including base survey and Requirements Workshop Report)
Community building: Impact of development workshops, dissemination and training activities, year 1
Community building: Impact of development workshops, dissemination and training activities, year 3
Community building: Impact of development workshops, dissemination and training activities, year 4
Review on emerging technologies

Pubblicazioni

Symmetric Indefinite Triangular Factorization Revealing the Rank Profile Matrix

Autori: Jean-Guillaume Dumas, Clément Pernet
Pubblicato in: Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '18, 2018, Pagina/e 151-158, ISBN 9781-450355506
Editore: ACM Press
DOI: 10.1145/3208976.3209019

Certificates for Triangular Equivalence and Rank Profiles

Autori: Jean-Guillaume Dumas, David Lucas, Clément Pernet
Pubblicato in: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '17, 2017, Pagina/e 133-140, ISBN 9781-450350648
Editore: ACM Press
DOI: 10.1145/3087604.3087609

Interoperability in the OpenDreamKit project : the Math-in-the-Middle approach

Autori: Kohlhase, Michael; Rabe, Florian; Pfeiffer, Markus; Lelièvre, Samuel; Dehaye, Paul-Olivier; Müller, Dennis; Thiéry, Nicolas M.; Konovalov, Alexander; Iancu, Mihnea; Wiesling, Tom
Pubblicato in: Numero 1, 2016
Editore: Research Repository St Andrews

Nmag micromagnetic simulation tool - software engineering lessons learned

Autori: Hans Fangohr, Maximilian Albert, Matteo Franchin
Pubblicato in: Proceedings of the International Workshop on Software Engineering for Science - SE4Science '16, 2016, Pagina/e 1-7, ISBN 9781-450341677
Editore: ACM Press
DOI: 10.1145/2897676.2897677

Computing with Quasiseparable Matrices

Autori: Clément Pernet
Pubblicato in: Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '16, 2016, Pagina/e 389-396, ISBN 9781-450343800
Editore: ACM Press
DOI: 10.1145/2930889.2930915

Linear Time Interactive Certificates for the Minimal Polynomial and the Determinant of a Sparse Matrix

Autori: Jean-Guillaume Dumas, Erich Kaltofen, Emmanuel Thomé, Gilles Villard
Pubblicato in: Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '16, 2016, Pagina/e 199-206, ISBN 9781-450343800
Editore: ACM Press
DOI: 10.1145/2930889.2930908

Current Challenges in Developing Open Source Computer Algebra Systems

Autori: Boehm, Janko; Decker, Wolfram; Keicher, Simon; Ren, Yue
Pubblicato in: Mathematical Aspects of Computer and Information Sciences. MACIS 2015., Numero Lecture Notes in Computer Science, vol 9582. Springer, Cham, 2016, Pagina/e 3-24, ISBN 978-3-319-32858-4
Editore: Springer, 2016
DOI: 10.1007/978-3-319-32859-1_1

An efficient sum of squares nonnegativity certificate for quaternary quartic

Autori: Pasechnik, Dmitrii V.
Pubblicato in: Numero 2, 2015
Editore: arXiv

Fast Matrix Multiplication and Symbolic Computation

Autori: Dumas, Jean-Guillaume; Pan, Victor
Pubblicato in: https://hal.archives-ouvertes.fr/hal-01417524, Numero 1, 2016
Editore: Hal

Time and space efficient generators for quasiseparable matrices

Autori: Clément Pernet, Arne Storjohann
Pubblicato in: Journal of Symbolic Computation, Numero 85, 2018, Pagina/e 224-246, ISSN 0747-7171
Editore: Academic Press
DOI: 10.1016/j.jsc.2017.07.010

Fast computation of the rank profile matrix and the generalized Bruhat decomposition

Autori: Jean-Guillaume Dumas, Clément Pernet, Ziad Sultan
Pubblicato in: Journal of Symbolic Computation, 2016, ISSN 0747-7171
Editore: Academic Press
DOI: 10.1016/j.jsc.2016.11.011

The L-Functions and Modular Forms Database Project

Autori: John Cremona
Pubblicato in: Foundations of Computational Mathematics, Numero 16/6, 2016, Pagina/e 1541-1553, ISSN 1615-3375
Editore: Springer Verlag
DOI: 10.1007/s10208-016-9306-z

Random Chain Complexes

Autori: Viktor L. Ginzburg, Dmitrii V. Pasechnik
Pubblicato in: Arnold Mathematical Journal, 2016, ISSN 2199-6792
Editore: arXiv
DOI: 10.1007/s40598-016-0062-6

The logarithmic class group package in PARI/GP

Autori: Jaulent, Jean-François; Belabas, Karim
Pubblicato in: EISSN: 1958-7236, Numero 1, 2016, ISSN 1958-7236
Editore: Publications Mathématiques de Besançon

Implementing Brouwer’s database of strongly regular graphs

Autori: Nathann Cohen, Dmitrii V. Pasechnik
Pubblicato in: Designs, Codes and Cryptography, 2016, ISSN 0925-1022
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10623-016-0264-x

Edge-dominating cycles, k-walks and Hamilton prisms in 2K2-free graphs

Autori: Gao Mou, Dmitrii V. Pasechnik
Pubblicato in: Journal of Knot Theory and Its Ramifications, Numero 25/12, 2016, Pagina/e 1642011, ISSN 0218-2165
Editore: World Scientific Publishing Co
DOI: 10.1142/S0218216516420116

Locally toroidal polytopes of rank 6 and sporadic groups

Autori: Dmitrii V. Pasechnik
Pubblicato in: Advances in Mathematics, Numero 312, 2017, Pagina/e 459-472, ISSN 0001-8708
Editore: Academic Press
DOI: 10.1016/j.aim.2017.03.029

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