A pedestrian dynamics model accounting for the body size of agents
Introducing a mathematical model for pedestrian dynamics that is based on social forces between pedestrians in exemplary hallway or crossing situations.
Introducing a mathematical model for pedestrian dynamics that is based on social forces between pedestrians in exemplary hallway or crossing situations.
Machine learning models, particularly those based on deep neural networks, have revolutionized the fields of data analysis, image recognition, and natural language processing. A key factor in the training of these models is the use of variants of gradient descent algorithms, which optimize model parameters by minimizing a loss function. However, the training optimization problem for neural networks is highly non-convex, presenting unique challenges.
Pi Day is celebrated around the world on the fourteenth day of the third month (3/14). The date representation of 3.14 is the most basic ratio of the circumference of a circle to its diameter. We've collated the top 10 most read papers from 2022 in Forum of Mathematics, Pi for all mathematicians, from researchers to students.
The PageRank algorithm was developed by Google co-founder Larry Page, and first introduced in 1998. It is based on the idea that a website’s importance can be measured by the number of other websites that link to it. Here, EJAM researchers study the PageRank algorithm.
The John Ockendon Prize launched in 2016 and is named after the founding editor of the European Journal of Applied Mathematics. This award recognises researchers for their contribution to applied mathematical research. In this article, Journal Editor Martin Burger discusses the 2022 winning paper.
In power networks with increasing shares of sustainable energy resources such as wind and solar radiation, the supply of energy is subject to natural fluctuations.…
About the Mahony Neumann Room Prize This prize, for outstanding contributions to the Australian Mathematical Society’s research publications, is fittingly named after the founding editors of these journals.…
Cytotoxic T lymphocytes (CTLs) belong to our bodies’ most effective weapons in the fight against distorted cells, such as cells infected by viruses or cancer cells.…
The phenomenon of spontaneous isothermal phase separation in a binary alloy is described mathematically by the Cahn-Hilliard equation. It is named after John W.…
Starting from the variational formulation of the Fokker-Planck equation provided by Jordan, Kinderlehrer and Otto in 1998, many evolution partial differential equations in the framework of probability spaces have been interpreted as gradient flow of a suitable free energy functional with respect to the Wasserstein distance.…
Stefan problems are a special type of partial differential boundary value problems, introduced around 1890 by the Slovenian physicist Josef Stefan [1].…
The European Journal of Applied Mathematics and Cambridge University Press are pleased to award the 2020 John Ockendon Prize to B.…
Silicosis is lung disease caused by the inhalation of respirable dust that contains quartz or similar particles. These particles can embed themselves deeply in the lung and the reaction of the tissue is called silicosis.…
Rhonda Righter is joining the editorial board of the journal Probability in the Engineering and Informational Sciences. She brings with her a wealth of knowledge in the area of stochastic modelling and optimization; read her full biography here.…
In recent years, applied analysis has seen an increase in interest in neural networks.
The lead article for Issue 4, Voume 29 from the European Journal of Applied Mathematics is Professor Bernard J. Matkowsky’s personalized survey-style article on the theory and application of ‘Singular perturbation methods to noisy dynamical systems’ in the limit of small noise.…
The European Journal of Applied Mathematics and Cambridge University Press are pleased to award the 2018 John Ockendon Prize to G.…
Pi Day is celebrated around the world on the 14th day of the 3rd month. The date representation of 3.14 is the most basic ratio of the circumference of a circle to its diameter, but it also has this going for it: Which, of course, means that mathematicians everywhere love their pi.…