H2020Обмен на изследователи2016–2019

CHiPS · CHallenges in Preservation of Structure

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период: 2016-01-01 → 2019-12-31
Финансиране от ЕС: 387 000 €
Участници: 7
Схема: MSCA-RISE

Линиите свързват координатора с партньорите.

Накратко на български

Специализирани алгоритми за решаване на диференциални уравнения изследват как да се запазят геометричните свойства на физични процеси, като например движението на планетите. Този подход помага за създаването на по-бързи и точни числени модели на сложни природни явления.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

CHallenges in Preservation of Structure

It is difficult to overestimate the importance of differential equations in modern society. They are literally everywhere. Differential equations have been used to describe weather and climate phenomena. And the transportation of pollution in the atmosphere, and plankton and nutrients in the sea. They’ve been used to model the spread of diseases. And the movement of planets and satellites. Unsurprisingly, the computation of numerical solutions to differential equations has been an important branch of mathematics for decades. When modelling complex physical phenomena in a computer, geometry is often essential, as geometry - and symmetry - is the mathematical manifestation of the underlying laws of physics. Yet, this fact has historically been ignored when creating numerical approximations to differential equations. The main quest has been to come up with all-purpose algorithms. But lately, focus has shifted to instead considering special classes of differential equations and purpose-built algorithms. These novel numerical methods are not only quantitatively accurate, but also qualitatively accurate as they preserve the key structural properties of the particular problem under study. Such methods are called structure preserving integrators. This approach can lead to both better and faster numerical approximations.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

This research and innovation staff exchange programme builds on significant investments made by the national research councils of the European and Third countries involved to support basic research on the topic of structure preserving algorithms. In the last four years, we have established a very fruitful cooperation working on common projects, sharing knowledge and producing a high number of important new results, which already received considerable attention in the scientific community. In the proposed exchange programme we aim at a significant advancement of knowledge through transnational collaborations between the academic partners. We also plan for concrete and systematic activities to facilitate innovation in those fields of technology which can benefit from the research of this proposal. This project will facilitate the use of the produced mathematical results in the innovation of software tools. This will be pursued in collaboration with our non-academic partner MathWorks. We also propose a plan for career development of young researchers in a non-academic environment. We have identified a number of actions to maximize impact not only on the research community but also towards our local, national networks of small and medium enterprises.

Оригинален текст от CORDIS (на английски).

Участници

NORGES TEKNISK-NATURVITENSKAPELIGE UNIVERSITET NTNU · TrondheimКоординаторНорвегия
CHALMERS TEKNISKA HOGSKOLA AB · GoteborgШвеция
LA TROBE UNIVERSITY · La Trobe UniversityАвстралия
MASSEY UNIVERSITY · Palmerston NorthНова Зеландия
THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE · CAMBRIDGEОбединеното кралство
THE MATHWORKS LIMITED · Cambridge CambsОбединеното кралство
UNIVERSITETET I BERGEN · BergenНорвегия