116 citations · 489 across the 28 of their papers we have counts for
29 papers
A mathematical model for Nordic skiing
Jane Shaw MacDonald, Rafael Ordoñez Cardales, John M. Stockie
Nordic skiing provides fascinating opportunities for mathematical modelling studies that exploit methods and insights from physics, applied mathematics, data analysis, scientific c…
Simulating surface height and terminus position for marine outlet glaciers using a level set method with data assimilation
M. Alamgir Hossain, Sam Pimentel, John M. Stockie
We implement a data assimilation framework for integrating ice surface and terminus position observations into a numerical ice-flow model. The model uses the well-known shallow she…
Experimental and computational comparison of freeze-thaw induced pressure generation in red and sugar maple
Maryam Zarrinderakht, Isabell Konrad, Timothy R. Wilmot +3
Sap exudation is the process whereby trees such as sugar (Acer saccharum) and red maple (Acer rubrum) generate unusually high positive stem pressure in response to repeated cycles…
An open-access clicker question bank for numerical analysis
M. Alamgir Hossain, Petra M. Menz, John M. Stockie
We present a question bank consisting of over 250 multiple-choice and true-false questions covering a broad range of material typically taught in an introductory undergraduate cour…
Simultaneous model calibration and source inversion in atmospheric dispersion models
Juan G. Garcia, Bamdad Hosseini, John M Stockie
We present a cost-effective method for model calibration and solution of source inversion problems in atmospheric dispersion modelling. We use Gaussian process emulations of atmosp…
Asymptotic and numerical analysis of a porous medium model for transpiration-driven sap flow in trees
Bebart Maisar Janbek, John M. Stockie
We develop a 3D porous medium model for sap flow within a tree stem, which consists of a nonlinear parabolic partial differential equation with a suitable transpiration source term…
A two-scale Stefan problem arising in a model for tree sap exudation
Isabell Konrad, Malte A. Peter, John M. Stockie
The study of tree sap exudation, in which a (leafless) tree generates elevated stem pressure in response to repeated daily freeze-thaw cycles, gives rise to an interesting multi-sc…
Airborne contaminant source estimation using a finite-volume forward solver coupled with a Bayesian inversion approach
Bamdad Hosseini, John M. Stockie
We propose a numerical algorithm for solving the atmospheric dispersion problem with elevated point sources and ground-level deposition. The problem is modelled by the 3D advection…
Bayesian estimation of airborne fugitive emissions using a Gaussian plume model
Bamdad Hosseini, John M. Stockie
A new method is proposed for estimating the rate of fugitive emissions of particulate matter from multiple time-dependent sources via measurements of deposition and concentration.…
A Bayesian approach for energy-based estimation of acoustic aberrations in high intensity focused ultrasound treatment
Bamdad Hosseini, Charles Mougenot, Samuel Pichardo +3
High intensity focused ultrasound is a non-invasive method for treatment of diseased tissue that uses a beam of ultrasound to generate heat within a small volume. A common challeng…
Multiscale model of a freeze-thaw process for tree sap exudation
Isabell Graf, Maurizio Ceseri, John M. Stockie
Sap transport in trees has long fascinated scientists, and a vast literature exists on experimental and modelling studies of trees during the growing season when large negative ste…
Mathematics For Industry: A Personal Perspective
John M. Stockie
"I am an industrial mathematician." When asked to identify my profession or academic field of study, this is the most concise answer I can provide. However, this seemingly straight…
Multi-layer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity
Christopher J. Budd, John M. Stockie
We study the asymptotic behaviour of sharp front solutions arising from the nonlinear diffusion equation θ_t = (D(θ)θ_x)_x, where the diffusivity is an exponential function D(θ) =…
An immersed boundary model of the cochlea with parametric forcing
William Ko, John M. Stockie
The cochlea or inner ear has a remarkable ability to amplify sound signals. This is understood to derive at least in part from some active process that magnifies vibrations of the…
Simulating biofilm deformation and detachment with the immersed boundary method
Rangarajan Sudarsan, Sudeshna Ghosh, John M. Stockie +1
We apply the immersed boundary (or IB) method to simulate deformation and detachment of a periodic array of wall-bounded biofilm colonies in response to a linear shear flow. The bi…
On regularizations of the delta distribution
Bamdad Hosseini, Nilima Nigam, John M. Stockie
In this article we consider regularizations of the Dirac delta distribution with applications to prototypical elliptic and hyperbolic partial differential equations (PDEs). We stud…
Homogenization of the Stefan problem, with application to maple sap exudation
Isabell Graf, John M. Stockie
The technique of periodic homogenization with two-scale convergence is applied to the analysis of a two-phase Stefan-type problem that arises in the study of a periodic array of me…
Parametric resonance in spherical immersed elastic shells
William Ko, John M. Stockie
We perform a stability analysis for a fluid-structure interaction problem in which a spherical elastic shell or membrane is immersed in a 3D viscous, incompressible fluid. The shel…
Simulating flexible fiber suspensions using a scalable immersed boundary algorithm
Jeffrey K. Wiens, John M. Stockie
We present an approach for numerically simulating the dynamics of flexible fibers in a three-dimensional shear flow using a scalable immersed boundary (IB) algorithm based on Guerm…
An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver
Jeffrey K. Wiens, John M. Stockie
We propose an efficient algorithm for the immersed boundary method on distributed-memory architectures, with the computational complexity of a completely explicit method and excell…
Numerical simulations of particle sedimentation using the immersed boundary method
Sudeshna Ghosh, John M. Stockie
We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater t…
A three-phase free boundary problem with melting ice and dissolving gas
Maurizio Ceseri, John M. Stockie
We develop a mathematical model for a three-phase free boundary problem in one dimension that involves the interactions between gas, water and ice. The dynamics are driven by melti…
A mathematical model of sap exudation in maple trees governed by ice melting, gas dissolution and osmosis
Maurizio Ceseri, John M. Stockie
We develop a mathematical model for sap exudation in a maple tree that is based on a purely physical mechanism for internal pressure generation in trees in the leafless state. Ther…
Correction to "Parametric Resonance in Immersed Elastic Boundaries"
William Ko, John M. Stockie
This note is a correction to a paper of Cortez, Peskin, Stockie & Varela [SIAM J. Appl. Math., 65(2):494-520, 2004], who studied the stability of a parametrically-forced, circular,…