Explore the words cloud of the TROPDIFFGEO project. It provides you a very rough idea of what is the project "TROPDIFFGEO" about.
The following table provides information about the project.
QUEEN MARY UNIVERSITY OF LONDON
|Coordinator Country||United Kingdom [UK]|
|Total cost||195˙454 €|
|EC max contribution||195˙454 € (100%)|
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
|Duration (year-month-day)||from 2018-06-01 to 2020-05-31|
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|1||QUEEN MARY UNIVERSITY OF LONDON||UK (LONDON)||coordinator||195˙454.00|
'The all-pervading utility of differential equations, and therefore of methods for their solution, in mathematics and the physical sciences, especially in mechanical and electronic engineering, is undisputable. The heat and wave equations are star examples. The subject has a long history, including its interactions with modern algebra since it was brought into that framework by Ritt in the late 1930s.
Tropical geometry, introduced two decades ago, is a rapidly developing area of mathematics offering a new approach to algebraic and geometric problems, for instance, counting solutions to equations. 'Tropicalising' these problems turns them into new problems stated only in terms of ensuring that collections of linear functions are tied for the greatest value, which have the same answers as the originals but can often be easier to solve.
In 2015, the Fellow and others introduced an application of tropical tools to differential algebra. Inspired by the initial successes of these methods, we are here proposing to extend them to classes of differential equation not yet handled, to bring more algebro-geometric machinery to bear, to transfer further aspects of the theory of tropicalisation of algebraic varieties to differential algebra, and to extend the computational algebra which motivated Grigoriev's interest to our new settings.'
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The information about "TROPDIFFGEO" are provided by the European Opendata Portal: CORDIS opendata.