35 citations · 54 across the 5 of their papers we have counts for
5 papers
Exponential Asymptotics using Numerical Rational Approximation in Linear Differential Equations
Christopher J. Lustri, Samuel C. Crew, S. Jonathan Chapman
Singularly-perturbed ordinary differential equations often exhibit Stokes' phenomenon, which describes the appearance and disappearance of oscillating exponentially small terms acr…
Integral constraints in multiple scales problems with a slowly varying microstructure
A. Kent, S. L. Waters, J. Oliver +1
Asymptotic homogenisation is considered for problems with integral constraints imposed on a slowly-varying microstructure; an insulator with an array of perfectly dielectric inclus…
Pathological exponential asymptotics for a model problem of an equatorially trapped Rossby wave
Josh Shelton, S. Jonathan Chapman, Philippe H. Trinh
We examine a misleadingly simple linear second-order eigenvalue problem (the Hermite-with-pole equation) that was previously proposed as a model problem of an equatorially-trapped…
Shear-induced instabilities of flows through submerged vegetation
Clint Y. H. Wong, Philippe H. Trinh, S. Jonathan Chapman
We consider the instabilities of flows through a submerged canopy, and show how the full governing equations of the fluid-structure interactions can be reduced to a compact framewo…
Model reduction for slow-fast stochastic systems with metastable behaviour
Maria Bruna, S. Jonathan Chapman, Matthew J. Smith
The quasi-steady-state approximation (or stochastic averaging principle) is a useful tool in the study of multiscale stochastic systems, giving a practical method by which to reduc…