Applied Mathematics
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Applied Mathematics at the University of Adelaide is one of the leading groups in teaching and research in Australia. Members conduct internationally recognized research into a wide range of Applied Mathematics. The research within Applied Mathematics can be loosely grouped into the following areas.
- Biomedical Engineering
- Fluid Dynamics
- Optimisation
- Stochastic Modelling
- Teletraffic Research
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Item Metadata only On the application of a Baecklund transformation to linear isotropic elasticity(Oxford University Press (OUP), 1974) Clements, D.; Rogers, C.Baecklund transformations have been employed in gas-dynamics to reduce the hodograph equations to appropriate canonical forms in subsonic, transonic and supersonic flows; thus, for example, the important Kàrmàn-Tsien approximation may be generated as a consequence of a simple Baecklund transformation of the hodograph system. Here, it is shown that Weinstein's correspondence principle in generalized axially symmetric potential theory emerges as a particular member of a class of Baecklund transformations of the Stokes-Beltrami equations. An iterated form of the correspondence principle may be used to obtain solutions to certain boundary-value problems involving axiallysymmetric deformations of an incompressible isotropic linear elastic material. Such solutions assume an added importance in the light of recent work by Selvadurai & Spencer, where the first order theory serves as the basis for solutions in second order incompressible finite elasticity. © 1974 by Academic Press Inc. (London) Limited.Item Metadata only On an inequality relating to sum sets(Australian Mathematical Society, 1995) Pearce, Charles E. M.; Pecaric, JosipItem Metadata only Mathematical modelling of asymmetric stenosis in three dimensions(Australian Physical and Engineering Sciences in Medicine, 1995) Mazumdar, J.; Ang, Keng ChengItem Metadata only An inequality for probability density functions arising from a distinguishability problem(Australian Mathematical Society, 1995) Pearce, Charles E. M.; Guljas, B.; Pecaric, JosipItem Metadata only Further studies of stern wavemaking(Australian Mathematical Society, 1995) Farrow, D.; Tuck, E. O.Item Metadata only Insensitivity in discrete time generalised semi-markov processes(Institute of Mathematical Statistics, 1995) Henderson, W.; Pearce, Charles E. M.; Taylor, Peter G.; van Dijk, N. M.Item Metadata only Kirillov theory for divisible nilpotent groups(J. Springer, 1995) Pearce, Charles E. M.; Carey, Alan L.; Moran, WilliamItem Open Access A laminar roughness boundary condition(Cambridge University Press, 1995) Tuck, E. O.; Kouzoubov, A.A modified slip boundary condition is obtained to represent the effects of small roughness-like perturbations to an otherwise-plane fixed wall which is acting as a boundary to steady laminar flow of a viscous fluid. In its simplest form, for low local Reynolds number and small roughness slope, this boundary condition involves a constant apparent backflow at the mean surface or, equivalently, represents a shift of the apparent plane boundary toward the flow domain. Extensions of the theory are also made to include finite local Reynolds number and finite roughness slope.Item Metadata only The temporal stability of a developing jet: A model problem(Australian Mathematical Society, 1995) Stott, Jillian A. K.; Denier, James PatrickItem Metadata only The quasi-stationary behavior of quasi-birth-and-death processes(Institute of Mathematical Statistics, 1995) Bean, N.; Bright, L.; Latouche, G.; Pearce, C.; Pollett, P.; Taylor, P.For evanescent Markov processes with a single transient communicating class, it is often of interest to examine the limiting probabilities that the process resides in the various transient states, conditional on absorption not having taken place. Such distributions are known as quasi-stationary (or limiting-conditional) distributions. In this paper we consider the determination of the quasi-stationary distribution of a general level-independent quasi-birth-and-death process (QBD). This distribution is shown to have a form analogous to the matrix-geometric form possessed by the stationary distribution of a positive recurrent QBD. We provide an algorithm for the explicit computation of the quasi-stationary distribution.Item Metadata only Mean-value analysis for a class of petri nets and batch-movement queueing networks with product-form equilibrium distributions(1995) Coyle, A. J.; Henderson, W.; Pearce, Charles E. M.; Taylor, Peter G.Item Metadata only A central limit theorem for a class of Markovain packet streams under heavy traffic conditions(Marcel Dekker, 1995) Pearce, Charles E. M.; Neuts, M. F.Item Metadata only Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes(Marcel Dekker, 1995) Bright, L.; Taylor, Peter G.Item Metadata only A geometric product-form distribution for a queueing network with nonstandard batch arrivals and batch transfers(Applied Probability Trust, 1995) Miyazawa, M.; Taylor, Peter G.Item Metadata only Mean-value analysis for a class of petri nets and batch-movement queueing networks with product-form equilibrium distributions(Permagon Press, 1995) Pearce, Charles E. M.; Coyle, A. J.; Henderson, W.; Taylor, Peter G.Item Metadata only On the ratio of logarithmic means(Osterreichische-Akademie-der-Wissenschaften-Mathematisch-naturwissenschaftliche-klasse-Anzeiger, 1995) Pearce, Charles E. M.; Pecaric, JosipItem Metadata only On dynamic channel allocation in urban cellular networks(1995) Callegati, F.; Taylor, Peter G.Item Metadata only Strong stochastic bounds for the stationary distribution of a class of multicomponent models(1995) Taylor, Peter G.; van Dijk, N. M.Item Metadata only The effect of crossflow on Gortler vortices(1995) Otto, Stephen Robert; Denier, James PatrickItem Metadata only Dynamic effective bandwidths using network observation and the bootstrap(Telecommunication Society of Australia, 1995) Bean, N.