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There is a growing need to integrate sustainability into tertiary mathematics education given the urgency of addressing global environmental challenges. This paper presents four case studies from Australian university courses that…

Populations and Evolution · Quantitative Biology 2025-08-12 Maria Kleshnina , Matthew Holden , Ryan Heneghan , Kate Helmstedt

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

Populations and Evolution · Quantitative Biology 2018-12-24 Florian Hartig

Climate change results in altered air and water temperatures. Increases affect physicochemical properties, such as oxygen concentration, and can shift species distribution and survival, with consequences for ecosystem functioning and…

Machine Learning · Computer Science 2021-10-11 Stefanie Mohr , Konstantina Drainas , Juergen Geist

Industrial operations have grown exponentially over the last century, driving advancements in energy utilization through vehicles and machinery.This growth has significant environmental implications, necessitating the use of sophisticated…

Applications · Statistics 2024-05-28 Anurag Mishra , Ronen Gold , Sanjeev Vijayakumar

The article describes various aspects of mathematical modeling of fluid flows, both in general and with reference to hydraulic machinery. The article reviews historical development of corresponding methods of mathematical modeling.…

Fluid Dynamics · Physics 2007-05-23 Alexey N. Kochevsky , Victor G. Nenya

Computational models pervade all branches of the exact sciences and have in recent times also started to prove to be of immense utility in some of the traditionally 'soft' sciences like ecology, sociology and politics. This volume is a…

Many water-based optimization metaheuristics have been introduced during the last decade, both for combinatorial and for continuous optimization. Despite the strong similarities of these methods in terms of their underlying natural…

Neural and Evolutionary Computing · Computer Science 2024-03-20 Fernando Rubio , Ismael Rodríguez

The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

In this paper, we introduce a novel framework for combining scientific knowledge within physics-based models and recurrent neural networks to advance scientific discovery in many dynamical systems. We will first describe the use of outputs…

Machine Learning · Computer Science 2018-10-09 Xiaowei Jia , Anuj Karpatne , Jared Willard , Michael Steinbach , Jordan Read , Paul C Hanson , Hilary A Dugan , Vipin Kumar

In this work we consider a mathematical model of the water treatment process and determine the effective characteristics of this model. At the microscopic length scale we describe our model in terms of a lattice random walk in a…

Mathematical Physics · Physics 2022-04-27 A. Piatnitski , A. Shamaev , E. Zhizhina

Environmental data often take the form of a collection of curves observed sequentially over time. An example of this includes daily pollution measurement curves describing the concentration of a particulate matter in ambient air. These…

Computation · Statistics 2016-08-26 Han Lin Shang

The climate is a forced and dissipative nonlinear system featuring non-trivial dynamics of a vast range of spatial and temporal scales. The understanding of the climate's structural and multiscale properties is crucial for the provision of…

Atmospheric and Oceanic Physics · Physics 2015-06-17 Valerio Lucarini , Richard Blender , Corentin Herbert , Salvatore Pascale , Francesco Ragone , Jeroen Wouters

Mathematical models are increasingly a part of microbiological research. Here, we share our perspective on how modeling advances the discipline by: (i) enforcing logical consistency, (ii) enabling quantitative prediction, (iii) extracting…

Other Quantitative Biology · Quantitative Biology 2026-04-22 Jamie A. Lopez , Amir Erez

Mathematical modelling has a long history in the context of collective cell migration, with applications throughout development, disease and regenerative medicine. The aim of modelling in this context is to provide a framework in which to…

Quantitative Methods · Quantitative Biology 2025-06-24 Ruth E. Baker , Rebecca M. Crossley , Carles Falco , Simon F. Martina-Perez

Recent advances in machine learning, coupled with low-cost computation, availability of cheap streaming sensors, data storage and cloud technologies, has led to widespread multi-disciplinary research activity with significant interest and…

Computational Engineering, Finance, and Science · Computer Science 2021-11-23 Indranil Pan , Lachlan Mason , Omar Matar

Machine learning is rapidly becoming a core technology for scientific computing, with numerous opportunities to advance the field of computational fluid dynamics. In this Perspective, we highlight some of the areas of highest potential…

Fluid Dynamics · Physics 2022-07-04 Ricardo Vinuesa , Steven L. Brunton

This study investigates the application of an artificial neural network framework for analysing water pollution caused by solids. Water pollution by suspended solids poses significant environmental and health risks. Traditional methods for…

Machine Learning · Computer Science 2026-01-12 I. Luviano Soto , Y. Concha Sánchez , A. Raya

We present and discuss a curated selection of recent literature related to the application of quantitative techniques, tools, and topics from mathematics and data science that have been used to analyze the mathematical sciences community.…

Reliable empirical models such as those used in software effort estimation or defect prediction are inherently dependent on the data from which they are built. As demands for process and product improvement continue to grow, the quality of…

Software Engineering · Computer Science 2021-06-14 Michael Franklin Bosu , Stephen G. MacDonell

The continuous increase in the availability of data of any kind, coupled with the development of networks of high-speed communications, the popularization of cloud computing and the growth of data centers and the emergence of…

Artificial Intelligence · Computer Science 2016-09-20 Jose A. García Gutiérrez