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High accuracy computational methods for the semiclassical Schrödinger equation
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics (DAMTP)King's College, 2018-04-28)
The computation of Schrödinger equations in the semiclassical regime presents several enduring challenges due to the presence of the small semiclassical parameter. Standard approaches for solving these equations commence ...
Mathematical modelling of asymmetrical metal rolling processes
(University of CambridgeDAMTPJesus College, 2017-12-05)
This thesis explores opportunities in the mathematical modelling of metal rolling processes, specifically asymmetrical sheet rolling. With the application of control systems in mind, desired mathematical models must make ...
Asymptotic analysis of cold sandwich rolling
(ElsevierInternational Journal of Mechanical Sciences, 2015-12-22)
An analytical model for the cold rolling of sandwich sheets is proposed, assuming a rigid-plastic flow rule and Coulomb friction. Asymptotic analysis is used to solve the equations based on the assumptions of small aspect ...
Asymptotic Analysis of Asymmetric Thin Sheet Rolling
(ElsevierInternational Journal of Mechanical Sciences, 2016-04-22)
An analytical model for asymmetric rolling is presented, which includes asymmetry in roll friction, roll size and roll speed, for a rigid, perfectly-plastic thin sheet deformed with Coulomb friction. This model is solved ...
An Analytic Solution for Gust-Aerofoil Interaction Noise Including Effects of Geometry
(Oxford University PressIMA Journal of Applied Mathematics, 2016)
An analytic solution is obtained for the sound generated by gust-aerofoil interaction for aerofoils with thickness, camber, and angle of attack. The model is based on the linearisation of the Euler equations about a steady ...