# Preprints

Filtering by Subject: Other Applied Mathematics

## Graph Characterization of Higher Order Structure in Atmospheric Chemical Reaction Mechanisms

**Published**: 2024-02-13

**Subjects**: Atmospheric Sciences, Biogeochemistry, Environmental Chemistry, Other Applied Mathematics, Other Environmental Sciences

Atmospheric chemical reactions play an important role in air quality and climate change. While the structure and dynamics of individual chemical reactions are fairly well understood, the emergent properties of the entire atmospheric chemical system, which can involve many different species that participate in many different reactions, are not well described. In this work, we leverage [...]

## Modelled Soil Temperature Sensitivity to Variable Snow and Vegetation Conditions in Low-Relief Coastal Mountains, Nunatsiavut and NunatuKavut, Labrador

**Published**: 2021-05-24

**Subjects**: Other Applied Mathematics, Other Physical Sciences and Mathematics, Physical Sciences and Mathematics

Understanding permafrost vulnerability and resilience to climate warming is critical for predicting impacts on northern communities and ecosystems. The thermal characteristics of near-surface permafrost are influenced by effects from overlying vegetation and snow cover, both of which are changing in northern environments. The association between vegetation and snow is important in the coastal [...]

## An Adaptive Discontinuous Galerkin Method for the Simulation of Hurricane Storm Surge

**Published**: 2019-09-09

**Subjects**: Applied Mathematics, Other Applied Mathematics, Physical Sciences and Mathematics

Numerical simulations based on solving the 2D shallow water equations using a Discontinuous Galerkin (DG) discretisation have evolved to be a viable tool for many geophysical applications. In the context of flood modelling, however, they have not yet been methodologically studied to a large extent. On geographic scale, hurricane storm surge can be interpreted as a localised phenomenon making it [...]

## HYRISK: An R package for hybrid uncertainty analysis using probability, imprecise probability and possibility distributions

**Published**: 2018-08-31

**Subjects**: Applied Mathematics, Engineering, Ordinary Differential Equations and Applied Dynamics, Other Applied Mathematics, Physical Sciences and Mathematics, Risk Analysis

Uncertainty analysis is an unavoidable risk assessment task (for instance for natural hazards, or for environmental issues). In situations where data are scarce, incomplete or imprecise, the systematic and only use of probabilities can be debatable. Over the last years, several alternative mathematical representation methods have been developed to handle in a more flexible manner the lack of [...]

## Using flood-excess volume to show that upscaling beaver dams for protection against extreme floods proves unrealistic

**Published**: 2018-07-10

**Subjects**: Applied Mathematics, Earth Sciences, Hydrology, Other Applied Mathematics, Physical Sciences and Mathematics

The questions we address in the present article are the following: (i) whether (extreme) river floods can be prevented or seriously mitigated by the introduction of beavers in the wild, and (ii) for which river catchments does flood mitigation by beaver activity (not) work? By using the concept of flood-excess volume (FEV) for four rivers in the UK, in the context of five (extreme) UK flood [...]

## On using flood-excess volume to assess natural flood management, exemplified for extreme 2007 and 2015 floods in Yorkshire

**Published**: 2018-07-10

**Subjects**: Applied Mathematics, Earth Sciences, Hydrology, Other Applied Mathematics, Physical Sciences and Mathematics

This paper offers a protocol for conducting a quantified assessment of the relative merits of both existing and proposed methods of Natural Flood Management (NFM). Assessment is based on the rarely used concept of flood-excess volume (FEV), which approximately quantifies the volume of water one wishes to eliminate via flood-mitigation schemes, and is exemplified using publicly available [...]

## On using flood-excess volume in flood mitigation, exemplified for the River Aire Boxing Day Flood of 2015

**Published**: 2018-07-10

**Subjects**: Applied Mathematics, Earth Sciences, Hydrology, Other Applied Mathematics, Physical Sciences and Mathematics

The goals of this paper are threefold, namely to: (i) define the rarely used concept of flood-excess volume (FEV) as the flood volume above a chosen river-level threshold of flooding; (ii) show how to estimate FEV for the Boxing Day Flood of 2015 of the River Aire in the UK; and, (iii) analyse the use of FEV in evaluating a hypothetical flood-alleviation scheme (FASII+) for the River [...]

## Introduction to Interferometry of Fiber Optic Strain Measurements

**Published**: 2018-06-14

**Subjects**: Applied Mathematics, Earth Sciences, Geophysics and Seismology, Other Applied Mathematics, Physical Sciences and Mathematics

Distributed acoustic sensing (DAS) measures the average axial strain (strain rate) along a subset of a fiber optic cable, as opposed to the particle displacement (velocity) at a particular small point sensor. In shifting from measuring a vector field to a tensor field, DAS changes the directional sensitivity of measurements of every type of seismic wave when compared to single component [...]