- Numerical methods for differential equations
- Advanced Numerical Methods in Computational Mathematics
- Cardiac electrophysiology and arrhythmias
- Granular flow and fluidized beds
- Model Reduction and Neural Networks
- Hydrology and Watershed Management Studies
- Computational Fluid Dynamics and Aerodynamics
- Mental Health via Writing
- Matrix Theory and Algorithms
- Particle Dynamics in Fluid Flows
- Cryospheric studies and observations
- Art, Politics, and Modernism
- Magnetic confinement fusion research
- Cyclone Separators and Fluid Dynamics
- Hydrological Forecasting Using AI
- Cardiovascular Function and Risk Factors
- COVID-19 and Mental Health
- Scientific Computing and Data Management
- Fluid Dynamics and Turbulent Flows
- Landslides and related hazards
- Electromagnetic Simulation and Numerical Methods
- Dementia and Cognitive Impairment Research
- Distributed and Parallel Computing Systems
- Plant Water Relations and Carbon Dynamics
- Modeling and Simulation Systems
University of Saskatchewan
2016-2025
Global Institute for Water Security
2024
University of Calgary
2022
Utah State University
2022
Canmore Museum and Geoscience Centre
2022
University of Washington
2022
NSF National Center for Atmospheric Research
2022
Numerical Method (China)
2021
University of Alberta
2014-2019
Ford Motor Company (France)
2014
Strong-stability-preserving (SSP) time discretization methods have a nonlinear stability property that makes them particularly suitable for the integration of hyperbolic conservation laws where discontinuous behavior is present. Optimal SSP schemes been previously found order 1, 2, and 3, number stages s equals p. An optimal low-storage scheme with s=p=3 also known. In this paper, we present new class high-order Runge--Kutta s>p. We find these are ultimately more efficient than known s=p...
In areas of oil and gas exploration, seismic lines have been reported to alter the movement patterns wolves ( Canis lupus ). We developed a mechanistic first passage time model, based on an anisotropic elliptic partial differential equation, used this explore how wolf responses influence encounter rate with their prey. The model was parametrized using 5 min GPS location data. These data showed that travelled faster had higher probability staying line once they were it. simulated range...
Chaste (Cancer, Heart And Soft Tissue Environment) is an open source simulation package for the numerical solution of mathematical models arising in physiology and biology. To date, development has been driven primarily by applications that include continuum modelling cardiac electrophysiology ('Cardiac Chaste'), discrete cell-based soft tissues ('Cell-based ventilation lungs ('Lung Chaste'). Cardiac addresses need a high-performance, generic, verified framework freely available to...
To reach a long term viable green hydrogen economy, rational design of active oxygen evolution reaction (OER) catalysts is critical. An important hurdle in this originates from the fact that reactants are singlet molecules, whereas molecule has triplet ground state with parallel spin alignment, implying magnetic order catalyst essential. Accordingly, multiple experimentalists reported positive effect external fields on OER activity ferromagnetic catalysts. However, it remains challenge to...
A 2D(1D) multi-scale membrane electrode assembly mathematical model is proposed to study the effect of micro-scale transport losses due catalyst aggregation in cathode layer a fuel cell. In order develop an analytical expression for losses, previous agglomerate models assumed oxygen reduction reaction one and neglected any proton effects. this article, numerical spherical ionomer-filled integrated with two-dimensional flexible framework different charge, mass, kinetic that cannot generally...
Abstract Blowing snow is ubiquitous in cold, windswept environments. In some regions, blowing sublimation losses can ablate a notable fraction of the seasonal snowfall. It advantageous to predict alpine regimes at spatial scale snowdrifts (≈1 100 m) because role redistribution governing duration and volume snowmelt. However, processes are often neglected due computational costs. Here, three‐dimensional model presented that spatially discretized using variable resolution unstructured mesh....
Background The COVID-19 pandemic is affecting people with dementia in numerous ways. Nevertheless, there a paucity of research on the impact and their care partners. Objective Using Twitter, purpose this study to understand experiences for Methods We collected tweets using GetOldTweets application Python from February 15 September 7, 2020. Thematic analysis was used analyze tweets. Results From 5063 analyzed line-by-line coding, we identified 4 main themes including (1) separation loss; (2)...
During the pandemic, there has been significant social media attention focused on increased COVID-19 risks and impacts for people with dementia their care partners. However, these messages can perpetuate misconceptions, false information, stigma.
The methods and implementation of a general-purpose code, COLDAE, are described. This code can solve boundary value problems for nonlinear systems semi-explicit differential-algebraic equations (DAEs) index at most 2. Fully implicit index-1 DAE be handled as well. COLDAE is an extension the package COLNEW (COLSYS) solving ODEs. implemented method piecewise polynomial collocation Gaussian points, extended needed by projection Ascher–Petzold. For general index-2 problems, well fully selective...
In this paper we provide an analysis of monotonicity properties for linear multistep methods. These include positivity and the diminishing total variation. We also pay particular attention to related boundedness such as variation bounded (TVB) property. methods are considered in combination with suitable starting procedures. This allows statements classes which important often used practice but were thus far not covered by theoretical results.
Abstract In many parts of the world, snowmelt energetics is dominated by solar irradiance. This particularly case in Canadian Rocky Mountains, where clear skies dominate winter and spring. mountainous regions, irradiance at snow surface not only affected angles, atmospheric transmittance, slope aspect immediate topography but also shadows from surrounding terrain. Accumulation errors estimating irradiation can lead to significant calculating timing rate owing seasonal storage internal energy...
Abstract The intent of this paper is to encourage improved numerical implementation land models. Our contributions in are two-fold. First, we present a unified framework formulate and implement model equations. We separate the representation physical processes from their solution, enabling use established robust methods solve Second, introduce set synthetic test cases (the laugh tests) evaluate include storage transmission water soils, lateral sub-surface flow, coupled hydrological...
Abstract Despite the proliferation of computer‐based research on hydrology and water resources, such is typically poorly reproducible. Published studies have low reproducibility due to incomplete availability data computer code, a lack documentation workflow processes. This leads transparency efficiency because existing code can neither be quality controlled nor reused. Given commonalities between process‐based hydrologic models in terms their required input preprocessing steps, open sharing...
Operator-splitting methods are widely used to solve differential equations, especially those that arise from multi-scale or multi-physics models, because a monolithic (single-method) approach may be inefficient even infeasible. The most common operator-splitting the first-order Lie--Trotter (or Godunov) and second-order Strang (Strang--Marchuk) splitting methods. High-order with real coefficients require backward-in-time integration in each operator hence adversely impacted by instability...
<sec> <title>BACKGROUND</title> Dementia is a significant global health concern. However, public awareness and education about dementia-related stigma remain limited, especially on social media. Examining media critical because it impacts how the perceives people living with dementia. By understanding media, we can develop educational strategies to target false stereotypes, beliefs, misinformation improve quality of life </sec> <title>OBJECTIVE</title> This study examines X platform...
AI enhanced environmental modelling workflows: Towards Automated Scientific Exploration in HydrologyAuthors: Darri Eythorsson, Kasra Keshavarz, Cyril Th&#233;bault, Mohamed Ismaiel Ahmed, Raymond Spiteri, Alain Pietroniro and Martyn ClarkModern hydrological modeling has evolved into a complex scientific endeavour requiring sophisticated workflows that span multiple scales, processes, computational paradigms. While existing workflow solutions address specific technical challenges, the...