Mathematics and Statistics: Recent submissions
Now showing items 1-5 of 2033
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A Poisson-bracket scheme for nonlinear shallow-water sloshing in an oscillating tank with irregular bottom surface
(Elsevier, 2024)The mass-, energy-, and potential-enstrophy-conserving Poisson bracket nu merical scheme introduced by Arakawa & Lamb (1981), and extended by Salmon (2004) and Stewart & Dellar (2016), is adapted to the problem of nonlinear ... -
Improved understanding and characterisation of climate hazards in the UK
(Springer Nature, 23 December 2023)This chapter describes new methods and datasets, developed through UK Climate Resilience Programme (UKCR) projects, to better understand climate hazards. We describe projections of hazards using new tools and provide ... -
A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
(Wiley, 2024)The reformulation of the Met Office’s dynamical core for weather and climate prediction previously described by the authors is extended to spherical domains using a cubed- sphere mesh. This paper updates the semi-implicit ... -
Geometric approaches to Lagrangian averaging
(Annual Reviews, 2024)Lagrangian averaging theories, most notably the Generalised Lagrangian Mean (GLM) theory of Andrews & McIntyre (1978a), have been primarily developed in Euclidean space and Cartesian coordinates. We re-interpret these ... -
Effects of Controller-Induced Dynamicson Experimental Bifurcation Analysis
(Springer, 12 May 2024)Control-based continuation (CBC) is an experimental method that uses feedback control to probe the dynamics of a physical system. CBC relies on finding control targets that render the control system noninvasive, recovering ...