15 citations · 21 across the 6 of their papers we have counts for
3 papers · 1 filter
The Granger-Johansen representation theorem for integrated time series on Banach space
Phil Howlett, Brendan Beare, Massimo Franchi +2
We prove an extended Granger-Johansen representation theorem (GJRT) for finite or infinite order integrated autoregressive time series on Banach space. We assume only that the reso…
An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation
Andrew Bassom, Phil Howlett, Peter Taylor
It is well known that the non-autonomous scalar differential equation of evolution has a unique solution given by an elementary exponential function. In general there is no such an…
Optimal driving strategies for a fleet of trains on level track with prescribed intermediate signal times and safe separation
Amie Albrecht, Phil Howlett, Peter Pudney
We propose an analytic solution to the problem of finding optimal driving strategies that minimize total tractive energy consumption for a fleet of trains travelling on the same tr…