51 citations · 289 across the 34 of their papers we have counts for
6 papers · 1 filter
A calibration-free physicality-based model for predicting peak river flows
Piotr Morawiecki, Philippe H. Trinh
Many simple hydrologic models are based on parametric statistical relations between the river flow and catchment properties such as its area, precipitation rates, soil properties,…
On the evaluation of grid and grid-to-grid rainfall-runoff models and their differences with physical benchmarks
Piotr Morawiecki, Philippe H. Trinh
In the first part of our study, we demonstrated how a simple physical benchmark model can be used to assess assumptions of the conceptual models, based on a lumped Probability Dist…
Asymptotic differences between a lumped probability-distributed rainfall-runoff model and a physical benchmark model
Piotr Morawiecki, Philippe H. Trinh
Typically, physical and conceptual rainfall-runoff models are developed independently and are based on different, though not entirely incompatible, governing principles. In this wo…
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples
Josh Shelton, Philippe Trinh
In this work, we develop a linear model ODE to study the parasitic capillary ripples present on steep Stokes waves when a small amount of surface tension is included in the formula…
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Josh Shelton, Samuel Crew, Philippe H. Trinh
The higher-order Stokes phenomenon can emerge in the asymptotic analysis of many problems governed by singular perturbations. Indeed, over the last two decades, the phenomena has a…
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…