113 citations · 302 across the 23 of their papers we have counts for
4 papers · 1 filter
Wider contours and adaptive contours
Shev MacNamara, William McLean, Kevin Burrage
Contour integrals in the complex plane are the basis of effective numerical methods for computing matrix functions, such as the matrix exponential and the Mittag-Leffler function.…
On the analysis of mixed-index time fractional differential equation systems
Kevin Burrage, Pamela M. Burrage, Ian W. Turner +1
In this paper we study the class of mixed-index time fractional differential equations in which different components of the problem have different time fractional derivatives on th…
Unlocking datasets by calibrating populations of models to data density: a study in atrial electrophysiology
Brodie A. J. Lawson, Christopher C. Drovandi, Nicole Cusimano +3
The understanding of complex physical or biological systems nearly always requires a characterisation of the variability that underpins these processes. In addition, the data used…
A stable fast time-stepping method for fractional integral and derivative operators
Fanhai Zeng, Ian Turner, Kevin Burrage
A unified fast time-stepping method for both fractional integral and derivative operators is proposed. The fractional operator is decomposed into a local part with memory length $Δ…