2 papers
math.NA2026
On unconventional discretisations
Basil Grammaticos, Thamizharasi Tamizhmani, Ralph Willox
We present various discretisation techniques that mark a departure from the classical algorithms of numerical analysis, in the aim of preserving the physical behaviour of the solut…
nlin.SI2026
Singularity interactions for lattice equations: introducing the taishi
Ralph Willox, Basil Grammaticos, Alfred Ramani +1
We study the singularities of some selected integrable lattice equations and show they all admit three types of singularities: one of finite and two of infinite extent. In particul…