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People matching "Systems engineering"
Courses matching "Systems engineering"
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Engineering Mathematics 1  [31]
Mathematics is an essential tool for understanding and predicting engineering systems. This course consists of an introduction to differential equations, which are used to model deterministic systems, and basic probability and statistical methods, which are used to analyse random processes. Ordinary differential equations: First order, second order, series solutions. Fourier series for functions of arbitrary period, half range expansions, even and odd functions, complex form of Fourier series. Partial differential equations: heat equation, separation of variables, wave equation, Laplace's equation. Applications in boundary value problems. Probability and statistical methods: Sampling and probability, descriptive statistics, random variables and probability distributions, mean and variance, linear combinations of random variables. Statistical inference for means and proportions. Linear regression.
More about this course... [32]
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Engineering Mathematics 2 [33]
Topics covered include: Vector calculus: vector fields, gradient, divergence and curl. Line, surface and volume integrals, integral theorems of Green Gauss and Stokes, with applications. Orthogonal curvilinear coordinates. Complex analysis: elementary functions of a complex variable, complex analytic functions, complex integrals, Taylor Series, Laurent Series, Residue Theorem. Laplace transforms of derivatives and integrals, applications to differential equations
More about this course... [34]
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Telecommunications Systems Modelling III [39]
Most real-world systems evolve under conditions of uncertainty and a knowledge of the state of the system at some time does not give us full information about the future behaviour of that system. In this course we show how to build stochastic models that translate information that we know, or are willing to assume, into information that we want to know. Although the main focus is on Telecommunications Systems that are relevant to today's society, such as the Internet, this subject places you in a position to be able to do much more. For example, systems that may be modelled with stochastic processes include : Engineering: Telecommunications, computer networks, industrial processes, dam construction. Biology: Evolution, Genetics, Epidemics, Species Interaction, Vegetation succession modelling.
Chemistry: Polymerisation, Bonding. Physics: Quantum Mechanics, Statistical Mechanics Economics and Finance: Portfolio management, interactions of complex systems. Management Science: That is, Call Centres, Networks of Queues. Continuous-time Markov chains, analysis of transient behaviour, the stationary distribution, hitting probabilities and expected hitting times.
Traffic models.
Birth and death processes.
Basic teletraffic formulae, evaluation of delay, congestion and bu?er size performance measures for simple queues and single network links.
Evaluation of exact and approximate performance measures for networks.
The concept of e?ective bandwidth and its use in the calculation of quality of service criteria.
Modelling of various forms of TCP/IP and calculation of some performance measures for networks operating under these protocols.
More about this course... [40]
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Events matching "Systems engineering"
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Stability of time-periodic flows 15:10 Fri 10 Mar 06 | G08, Mathematics Building, University of Adelaide | Prof. Andrew Bassom, School of Mathematics and
Statistics, University of Western Australia
Abstract... [41]Time-periodic shear layers occur naturally in a wide
range of applications from engineering to physiology. Transition to
turbulence in such flows is of practical interest and there have been
several papers dealing with the stability of flows composed of a
steady component plus an oscillatory part with zero mean. In such
flows a possible instability mechanism is associated with the mean
component so that the stability of the flow can be examined using some
sort of perturbation-type analysis. This strategy fails when the mean
part of the flow is small compared with the oscillatory component
which, of course, includes the case when the mean part is precisely
zero.
This difficulty with analytical studies has meant that the stability
of purely oscillatory flows has relied on various numerical
methods. Until very recently such techniques have only ever predicted
that the flow is stable, even though experiments suggest that they do
become unstable at high enough speeds. In this talk I shall expand on
this discrepancy with emphasis on the particular case of the so-called
flat Stokes layer. This flow, which is generated in a deep layer of
incompressible fluid lying above a flat plate which is oscillated in
its own plane, represents one of the few exact solutions of the
Navier-Stokes equations. We show theoretically that the flow does
become unstable to waves which propagate relative to the basic motion
although the theory predicts that this occurs much later than has been
found in experiments. Reasons for this discrepancy are examined by
reference to calculations for oscillatory flows in pipes and
channels. Finally, we propose some new experiments that might reduce
this disagreement between the theoretical predictions of instability
and practical realisations of breakdown in oscillatory flows.
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Making tertiary mathematics more interesting 15:10 Fri 24 Mar 06 | G08, Mathematics Building, University of Adelaide | Prof. Emeritus Neville de Mestre, Faculty of Information Technology, Bond University
Abstract... [42]For the past few decades, calculus and linear algebra
have provided the basis for many university courses in mathematics,
science or engineering. However there are other courses, which could
be given to motivate the students, particularly those with only a
passing love of mathematics. One possible course could show the
essential features of how mathematicians solve problems using many
different analytical, cerebral and computer skills. In this seminar I
will describe such a one-semester course (2 lectures, 2 labs each
week), which includes hands-on problem solving and students eventually
creating their own problems. One or two exciting problems at
first-year level will be developed in detail.
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Elliptic equation for diffusion-advection flows 15:10 Fri 15 Aug 08 | G03, Napier Building, University of Adelaide | Prof. Pavel Bedrikovsetsky | Australian School of Petroleum Science, University of Adelaide.
Abstract... [43]
The standard diffusion equation is obtained by Einstein's method and its generalisation, Fokker-Plank-Kolmogorov-Feller theory. The time between jumps in Einstein derivation is constant.
We discuss random walks with residence time distribution, which occurs for flows of solutes and suspensions/colloids in porous media, CO2 sequestration in coal mines, several processes in chemical, petroleum and environmental engineering. The rigorous application of the Einstein's method results in new equation, containing the time and the mixed dispersion terms expressing the dispersion of the particle time steps.
Usually, adding the second time derivative results in additional initial data. For the equation derived, the condition of limited solution when time tends to infinity provides with uniqueness of the Caushy problem solution.
The solution of the pulse injection problem describing a common tracer injection experiment is studied in greater detail. The new theory predicts delay of the maximum of the tracer, compared to the velocity of the flow, while its forward "tail" contains much more particles than in the solution of the classical parabolic (advection-dispersion) equation. This is in agreement with the experimental observations and predictions of the direct simulation.
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Symmetry-breaking and the Origin of Species 15:10 Fri 24 Oct 08 | G03, Napier Building, University of Adelaide | Toby Elmhirst | ARC Centre of Excellence for Coral Reef Studies, James Cook University
Abstract... [44]The theory of partial differential equations can say much about generic bifurcations from spatially homogeneous steady states, but relatively little about generic bifurcations from unimodal steady states. In many applications, spatially homogeneous steady states correspond to low-energy physical states that are destabilized as energy is fed into the system, and in these cases standard PDE theory can yield some impressive and elegant results. However, for many macroscopic biological systems such results are less useful because low-energy states do not hold the same priviledged position as they do in physical and chemical systems. For example, speciation -- the evolutionary process by which new species are formed -- can be seen as the destabilization of a unimodal density distribution over phenotype space. Given the diversity of species and environments, generic results are clearly needed, but cannot be gained from PDE theory. Indeed, such questions cannot even be adequately formulated in terms of PDEs. In this talk I will introduce 'Pod Systems' which can provide an answer to the question; 'What happens, generically, when a unimodal steady state loses stability?' In the pod system formalization, the answer involves elements of equivariant bifurcation theory and suggests that new species can arise as the result of broken symmetries.
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Boltzmann's Equations for Suspension Flow in Porous Media and Correction of the Classical Model 15:10 Fri 13 Mar 09 | Napier LG29 | Professor Pavel Bedrikovetsky | University of Adelaide
Abstract... [45]Suspension/colloid transport in porous media is a basic phenomenon in environmental, petroleum and chemical engineering. Suspension of particles moves through porous media and particles are captured by straining or attraction. We revise the classical equations for particle mass balance and particle capture kinetics and show its non-realistic behaviour in cases of large dispersion and of flow-free filtration. In order to resolve the paradoxes, the pore-scale model is derived. The model can be transformed to Boltzmann equation with particle distribution over pores. Introduction of sink-source terms into Boltzmann equation results in much more simple calculations if compared with the traditional Chapman-Enskog averaging procedure. Technique of projecting operators in Hilbert space of Fourier images is used. The projection subspace is constructed in a way to avoid dependency of averaged equations on sink-source terms. The averaging results in explicit expressions for particle flux and capture rate. The particle flux expression describes the effect of advective particle velocity decrease if compared with the carrier water velocity due to preferential capture of "slow" particles in small pores. The capture rate kinetics describes capture from either advective or diffusive fluxes. The equations derived exhibit positive advection velocity for any dispersion and particle capture in immobile fluid that resolves the above-mentioned paradox.
Finally, we discuss validation of the model for propagation of contaminants in aquifers, for filtration, for potable water production by artesian wells, for formation damage in oilfields.
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News matching "Systems engineering"
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Mathematics Building to be demolished The existing mathematics building will be demolished to make way for a new 8-storey, 6-star building. The new building, which is expected to be completed for the start of semester 1, 2010, will house the Schools of Electrical and Electronic Engineering, Computer Science and Mathematical Sciences. The demolition will begin on 10th December 2007. See the Building Life Impact [46] web-site for more details. Posted Mon 12 Nov 07.
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ARC Grant successes Congratulations to Tony Roberts, Charles Pearce, Robert Elliot, Andrew Metcalfe and all their collaborators on their success in the current round of ARC grants. The projects are "Development of innovative technologies for oil production based on the advanced theory of suspension flows in porous media" (Tony Roberts et al.), "Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems" (Charles Pearce et al.),
"Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models" (Robert Elliott et al.) and "A new flood design methodology for a variable and changing climate" (Andrew Metcalfe et al.) Posted Mon 26 Oct 09.
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Publications matching "Systems engineering"
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Hitting probabilities and hitting times for stochastic fluid flows the bounded model
Bean, Nigel; O'Reilly, Malgorzata; Taylor, P, Probability in the Engineering and Informational Sciences 23 (121–147) 2009 |
On some contact problems for inhomogeneous anisotropic elastic materials
Clements, David; Ang, W, International Journal of Engineering Science In Press (–) 2009 |
The decay of suddenly blocked flow in a curved pipe
Clarke, Robert; Denier, James, Journal of Engineering Mathematics 63 (241–257) 2009 |
GATEway: Symbiotic inter-domain traffic engineering
Roughan, Matthew; Zhang, Y, Internet Measurement Conference 08, Greece 20/10/08 |
A self tuning model for risk estimation
Elliott, Robert; Filinkov, Alexei, Expert Systems with Applications 34 (1692–1697) 2008 |
Mathematical modeling of glucose supply toward successful in vitro maturation of mammalian oocytes
Stokes, Yvonne; Clark, Alys; Thompson, Jeremy, Tissue Engineering. Part A. Tissue Engineering 14 (1539–1547) 2008 |
Nonlinear transient heat conduction problems for a class of inhomogeneous anisotropic materials by BEM
Azis, Mohammad; Clements, David, Engineering Analysis With Boundary Elements 32 (1054–1060) 2008 |
The mathematical modelling of rotating capillary tubes for holey-fibre manufacture
Voyce, Christopher; Fitt, A; Monro, Tanya, Journal of Engineering Mathematics 60 (69–87) 2008 |
Normal form transforms separate slow and fast modes in stochastic dynamical systems
Roberts, Anthony John, Physics Letters A 387 (12–38) 2008 |
A preliminary approach to structural identifiability of uncontrolled linear switching systems
Whyte, Jason, MABE'07, Gold Coast 17/01/07 |
Perturbing singular systems and the correlating of uncorrelated random sequences
Pearce, Charles; Allison, Andrew; Abbott, Derek, International Conference on Numerical Analysis and Applied Mathematics, Corfu, Greence 16/09/07 |
On deterministic identifiability of uncontrolled linear switching systems
Whyte, Jason, WSEAS Transactions on Systems 5 (1028–1035) 2007 |
A biography of J. N. Newman
Tuck, Ernest, Journal of Engineering Mathematics 58 (1–5) 2007 |
Nonlinear dynamics on centre manifolds describing turbulent floods: k-omega model
Georgiev, D; Roberts, Anthony John; Strunin, D, Discrete and Continuous Dynamical Systems Supplement (419–428) 2007 |
The solution of a free boundary problem related to environmental management systems
Elliott, Robert; Filinkov, Alexei, Stochastic Analysis and Applications 25 (1189–1202) 2007 |
Guide expansions for the recursive parametric solution of polynomial dynamical systems
Duff, G; Leipnik, R; Pearce, Charles, The ANZIAM Journal 47 (387–396) 2006 |
Numerical studies on the approximation of horizontal diffusion using sigma coordinate system
Lee, Jong; Teubner, Michael; Nixon, John; Cho, Y-S, KSCE Journal of Civil Engineering 10 (145–149) 2006 |
On a generalised plane strain crack problem for inhomogeneous anisotropic elastic materials
Clements, David; Ang, W, International Journal of Engineering Science 44 (273–284) 2006 |
On the indentation of an inhomogeneous anisotropic elastic material by multiple straight rigid punches
Clements, David; Ang, W, Engineering Analysis With Boundary Elements 30 (284–291) 2006 |
Prolongations of geometric overdetermined systems
Branson, T; Cap, A; Eastwood, Michael; Gover, A, International Journal of Mathematics 17 (641–664) 2006 |
Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretization
MacKenzie, T; Roberts, Anthony John, SIAM Journal on Applied Dynamical Systems 5 (365–402) 2006 |
Computation of short-crested deepwater waves
Ioualalen, M; Okamura, M; Cornier, S; Kharif, C; Roberts, Anthony John, Journal of Waterway Port Coastal and Ocean Engineering-ASCE 132 (157–165) 2006 |
Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis
Clarke, Richard; Jensen, O; Billingham, J; Williams, P, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 462 (913–933) 2006 |
An algorithmic estimation scheme for hybrid stochastic systems
Malcolm, William; Elliott, Robert; Dufour, F; Arulampalam, M, The 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain 12/12/05 |
Best approximation of nonlinear systems: Optimal causal feedback models
Torokhti, Anatoli; Howlett, P; Pearce, Charles, The 9th world multi-conference on systemics, cybernetics and informatics, Orlando, Florida, USA 10/07/05 |
Exact smoothers for discrete-time hybrid stochastic systems
Elliott, Robert; Malcolm, William; Dufour, F, The 44th IEEE Conference on Decision and Control and the European Control Conference, Seville, Spain 12/12/05 |
New Gaussian mixture state estimation schemes for discrete time hybrid Gauss-Markov systems
Elliott, Robert; Dufour, F; Malcolm, William, The 2005 American Control Conference, Portland, OR, USA 08/06/05 |
Best causal mathematical models for a nonlinear system
Torokhti, Anatoli; Howlett, P; Pearce, Charles, IEEE Transactions on Circuits and Systems I - regular papers 52 (1013–1020) 2005 |
Prolongations of linear overdetermined systems on affine and riemannian manifolds
Eastwood, Michael, Circolo Matmeatico di Palermo. Rendiconti 75 (89–108) 2005 |
Representations via overdetermined systems
Eastwood, Michael, Contemporary Mathematics 368 (201–210) 2005 |
State and mode estimation for discrete-time jump Markov systems
Elliott, Robert; Dufour, F; Malcolm, William, Siam Journal on Control and Optimization 44 (1081–1104) 2005 |
Finite-dimensional filtering and control for continuous-time nonlinear systems
Elliott, Robert; Aggoun, L; Benmerzouga, A, Stochastic Analysis and Applications 22 (499–505) 2005 |
Preface to the Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, EMAC-2005
Stacey, A; Blyth, B; Shepherd, J; Roberts, Anthony John, The ANZIAM Journal 47 (–) 2005 |
Load balancing techniques for inter-domain traffic engineering
Chandrayana, K; Zhang, Y; Roughan, Matthew; Sen, S, |
A fundamental solution for linear second-order elliptic systems with variable coefficients
Clements, David, Journal of Engineering Mathematics 49 (209–216) 2004 |
A sufficient condition for the uniform exponential stability of time-varying systems with noise
Grammel, G; Maizurna, Isna, Nonlinear Analysis-Theory Methods & Applications 56 (951–960) 2004 |
Macrophage-tumour interactions: In vivo dynamics
Byrne, H; Cox, Stephen; Kelly, C, Discrete and Continuous Dynamical Systems-Series B 4 (81–98) 2004 |
Mixing measures for a two-dimensional chaotic Stokes flow
Finn, Matthew; Cox, Stephen; Byrne, H, Journal of Engineering Mathematics 48 (129–155) 2004 |
Modern approach of design of welded components subjected to fatigue loading
Ghosh, Abir, Journal of Structural Engineering-ASCE 130 (812–820) 2004 |
On the boundary-layer equations for power-law fluids
Denier, James; Dabrowski, Paul, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 460 (3143–3158) 2004 |
Reynolds number effects in a simple planetary mixer
Clifford, M; Cox, Stephen; Finn, Matthew, Chemical Engineering Science 59 (3371–3379) 2004 |
Robust M-ary detection filters and smoothers for continuous-time jump Markov systems
Elliott, Robert; Malcolm, William, IEEE Transactions on Automatic Control 49 (1046–1055) 2004 |
Shear dispersion along circular pipes is affected by bends, but the torsion of the pipe is negligible
Roberts, Anthony John, SIAM Journal on Applied Dynamical Systems 3 (433–462) 2004 |
A dual-reciprocity boundary element method for a class of elliptic boundary value problems for non-homogenous anisotropic media
Ang, W; Clements, David; Vahdati, N, Engineering Analysis With Boundary Elements 27 (49–55) 2003 |
A genetic algorithm based on nearest neighbour classification to breast cancer diagnosis
Jain, R; Mazumdar, Jagan, Australasian Physical and Engineering Sciences in Medicine 26 (6–11) 2003 |
A philosophy for the modelling of realistic nonlinear systems
Howlett, P; Torokhti, Anatoli; Pearce, Charles, Proceedings of the American Mathematical Society 132 (353–363) 2003 |
Method of hybrid approximations for modelling of multidimensional nonlinear systems
Torokhti, Anatoli; Howlett, P; Pearce, Charles, Multidimensional Systems and Signal Processing 14 (397–410) 2003 |
Numerical model of electrical potential within the human head
Nixon, John; Rasser, Paul; Teubner, Michael; Clark, C; Bottema, M, International Journal for Numerical Methods in Engineering 56 (2353–2366) 2003 |
Optimal mathematical models for nonlinear dynamical systems
Torokhti, Anatoli; Howlett, P; Pearce, Charles, Mathematical and Computer Modelling of Dynamical Systems 9 (327–343) 2003 |
The tree cut and merge algorithm for estimation of network reliability
Hui, Kin-Ping; Bean, Nigel; Kraetzl, Miro; Kroese, D, Probability in the Engineering and Informational Sciences 17 (23–45) 2003 |
Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics
Roberts, Anthony John, chapter in Nonlinear dynamics: from lasers to butterflies (World Scientific Publishing) 257–313, 2003 |
Performance of estimated traffic matrices in traffic engineering
Roughan, Matthew; Thorup, M; Zhang, Y, 003 ACM SIGMETRICS international conference on Measurement and modeling of computer systems, San Diego, CA, USA 10/06/03 |
Traffic engineering with estimated traffic matrices
Roughan, Matthew; Thorup, M; Zhang, Y, 3rd ACM SIGCOMM conference on Internet measurement, Miami Beach, Florida USA 27/10/03 |
A comparison of linear and nonlinear computations of waves made by slender submerged bodies
Tuck, Ernest; Scullen, David, Journal of Engineering Mathematics 42 (255–264) 2002 |
Higher-order statistical moments of wave-induced response of offshore structures via efficient sampling techniques
Najafian, G; Burrows, R; Tickell, R; Metcalfe, Andrew, International Offshore and Polar Engineering Conference 3 (465–470) 2002 |
Martingale methods for analysing single-server queues
Roughan, Matthew; Pearce, Charles, Queueing Systems 41 (205–239) 2002 |
On-line almost-sure parameter estimation for partially observed discrete-time linear systems with known noise characteristics
Elliott, Robert; Ford, J; Moore, J, International Journal of Adaptive Control and Signal Processing 16 (435–453) 2002 |
What is a unit of capacity worth?
Chiera, Belinda; Taylor, Peter, Probability in the Engineering and Informational Sciences 16 (513–522) 2002 |
Best approximation of operators in the modeling of nonlinear systems
Torokhti, Anatoli; Howlett, P, IEEE Transactions on Circuits and Systems I - regular papers 49 (1792–1798) 2002 |
Robust M-ary detection filters for continuous-time jump Markov systems
Elliott, Robert; Malcolm, William, The 40th IEEE Conference on Decision and Control (CDC), Orlando, Florida 04/12/01 |
Coupled Painlev systems and quartic potentials
Hone, Andrew, Journal of Physics A: Mathematical and Theoretical (Print Edition) 34 (2235–2245) 2001 |
Hilbert C*-systems for actions of the circle group
Baumgaertel, H; Carey, Alan, Reports on Mathematical Physics 47 (349–361) 2001 |
On the best quadratic approximation of nonlinear systems
Torokhti, Anatoli; Howlett, P, IEEE Transactions on Circuits and Systems I - regular papers 48 (595–602) 2001 |
Optimal fixed rank transform of the second degree
Torokhti, Anatoli; Howlett, P, IEEE Transactions on Circuits and Systems II - express briefs 48 (309–315) 2001 |
State-dependent coupling of quasireversible nodes
Henderson, William; Taylor, Peter, Queueing Systems 37 (163–197) 2001 |
The modelling and numerical simulation of causal non-linear systems
Howlett, P; Torokhti, Anatoli; Pearce, Charles, Nonlinear Analysis-Theory Methods & Applications 47 (5559–5572) 2001 |
Bearing-only tracking from a stationary platform
Sworder, D; Boyd, J; Hutchins, R; Elliott, Robert, Asilomar Conference on Signals, Systems and Computers. Conference Record 2 (1428–1432) 2001 |
OBITUARY Associate Professor W. (Bill) Henderson (1943?2001)
Pearce, Charles; Taylor, Peter; Tuxk, E, Queueing Systems 39 (335–336) 2001 |
A new perspective on the normalization of invariant measures for loss networks and other product form systems
Bean, Nigel; Stewart, Mark, Mathematical and Computer Modelling 31 (47–54) 2000 |
Algorithms for second moments in batch-movement queueing systems
Hunt, Emma, Mathematical and Computer Modelling 31 (299–305) 2000 |
Biomathematical modelling of physiological fluids using a Casson fluid with emphasis to peristalsis
Mernone, Anacleto; Mazumdar, Jagan, Australasian Physical and Engineering Sciences in Medicine 23 (94–100) 2000 |
Deformations of carbon-fiber-reinforced yacht masts
Clements, David; Cooke, Tristrom, Journal of Engineering Mathematics 37 (11–25) 2000 |
Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models
Stokes, Yvonne, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 456 (1861–1864) 2000 |
The paradox of Parrondo's games
Harmer, Gregory; Abbott, Derek; Taylor, Peter, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 456 (247–259) 2000 |
Unsteady stenosis flow prediction: a comparative study of non-Newtonian models with operator splitting scheme
Siauw, W; Ng, E; Mazumdar, Jagan, Medical Engineering & Physics 22 (265–277) 2000 |
m-systems of polar spaces and maximal arcs in projective planes
Hamilton, N; Quinn, Catherine, Bulletin of the Belgian Mathematical Society-Simon Stevin 7 (237–248) 2000 |
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