Sentence examples for localised solutions from inspiring English sources

Progress is being made towards more localised solutions, however.

Future sediment source tracing studies should always endeavour to combine local and global search tools to avoid the risk of using localised solutions for source apportionment estimates.

4, where we also show how to determine the linear stability of localised solutions.

While boundary conditions must be specified in the PDE setting, they are often chosen to ensure the smooth decay of localised solutions rather than model any biophysical constraint.

The Amari model has a Heaviside nonlinearity that allows for a description of localised solutions of the neural field with an interface dynamics.

Amari's seminal work developed an approach for analysing localised solutions of neural field models posed on the real line, and has recently been extended to the planar case by Coombes et al. [21], albeit assuming that the synaptic connectivity can be expressed in terms of a linear combination of zeroth order modified Bessel functions of the second kind.

A neat handover from ITV to ITN or another master contractor would disappoint some of the bidders hoping for a more localised solution to news in the English regions.

Right now it's just a localised solution, but it can create cleaner public areas and playgrounds, and hopefully it will inspire other designers to come up with technologies which can clean cities on an even larger scale".

For a system with a Mexican-hat spatial connectivity we further find that noise can induce localised bump solutions, and using an interface stability argument show that there can be multiple stable solution branches.

These types of localised distributed solutions are starting to take hold, but much of this is happening in spite of, rather than because of, government.

Equations (9)–(11) determine the interface dynamics for time-dependent spatially localised bump solutions that respect the Dirichlet boundary condition.