Zobrazeno 1 - 10
of 306
pro vyhledávání: '"Macdonald, Colin"'
The pseudo-two-dimensional (P2D) model is a complex mathematical model that can capture the electrochemical processes in Li-ion batteries. However, the model also brings a heavy computational burden. Many simplifications to the model have been introd
Externí odkaz:
http://arxiv.org/abs/2111.09251
The determination of the mean first passage time (MFPT) for a Brownian particle in a bounded 2-D domain containing small absorbing traps is a fundamental problem with biophysical applications. The average MFPT is the expected capture time assuming a
Externí odkaz:
http://arxiv.org/abs/2006.12722
We propose a new framework for the sampling, compression, and analysis of distributions of point sets and other geometric objects embedded in Euclidean spaces. Our approach involves constructing a tensor called the RaySense sketch, which captures nea
Externí odkaz:
http://arxiv.org/abs/1911.10737
We develop novel numerical methods and perturbation approaches to determine the mean first passage time (MFPT) for a Brownian particle to be captured by either small stationary or mobile traps inside a bounded 2-D confining domain. Of particular inte
Externí odkaz:
http://arxiv.org/abs/1911.07842
This article describes a reduction of a nonautonomous Brusselator reaction-diffusion system of partial differential equations on a spherical cap with time dependent curvature using the method of centre manifold reduction. Parameter values are chosen
Externí odkaz:
http://arxiv.org/abs/1810.04702
Autor:
Macdonald, Colin Campbell
The regolith beneath the Helikian Athabasca Group sandstones in northern Saskatchewan displays up to four laterally correlatable colour zones. Their sequence, vertical extent, and chemical and mineralogical characteristics correspond closely to those
Autor:
MacDonald, Colin Stephen
Polymer electrolyte membrane (PEM) fuel cells possess the potential, as a zero-emission power source, to replace the internal combustion engine as the primary option for transportation applications. Though there are a number of obstacles to vast PEM
Externí odkaz:
http://hdl.handle.net/10012/4252
We demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on in-surface diffusion: we formulate Weickert's edge/coherence enhancing
Externí odkaz:
http://arxiv.org/abs/1403.2131
Adaptive stepsize control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show that adaptive stepsize control can be incorporated within a family of
Externí odkaz:
http://arxiv.org/abs/1310.6331