Professor Charles Pearce

Elder Professor of Mathematics

Office: 323 | Telephone: +61 8 8303 5412

Teaching duties

Title	Level	Semester
Information Theory	4	1
Applied Probability III	3	1

Honours supervision

Thesis title	Student	Graduation
Gains, claims and pains: Mathematical and Statistical Problems in Occupational Health and Safety	Samuel Cohen	2007

Postgraduate supervision

Thesis title	Student	Graduation
The behaviour of stochastic rumours	Selma Belen	2008
Geometric neurodynamical classifiers applied to breast cancer detection	Tijiana Ivancevic	2008
Exact solution to the stochastic spread of social contagion using rumours	Roland Dickinson	2008
Random allocations: New and extended models and techniques, with applications and numerics	Ray Kennington	2007
Measures of risk	Samuel Cohen
Risk management	Bin Shen

Research interests

Research interest	Group
Probabilistic and statistical modelling and analysis	Stochastic Modelling and Optimisation
Convex analysis and optimization	Stochastic Modelling and Optimisation

Research grants

Grant title	Funding Agency
Applications of nonsmooth analysis to viscosity solutions of a class of elliptic partial differential equations	Adelaide University
Hybrid numerical methods for optimal modelling of nonlinear systems	Adelaide University
New effective methods for the optimal representation of nonlinear operators with a large number of parameters	Adelaide University
Constructive mathematical models of real-world objects	Australian Technology Network
Biometric modelling	DSTO
Singular perturbations in Markov decision processes and mathematical programming problems	ARC
Constructive models for the approximation of realistic nonlinear systems	ARC
Tight bounds for some performance measures in loss systems occurring in telecommunications networks	ARC
A comparative study of generalised solution concepts for elliptic partial differential equations using nonsmooth analysis techniques	ARC
Optimal Transforms of Random Vectors	ARC
A new perturbation method for solving singular operator equations with applications to complex systems	ARC
WaterLog - A mathematical model to implement recommendations of The Wentworth Group	ARC
Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications	ARC
Mathematics for Government, Industry and Community -- The Magic Network	ARC

Selected publications

Publications
Inversion of analytically perturbed linear operators that are singular at the origin Howlett, P; Avrachenkov, K; Pearce, Charles; Ejov, V, Journal of Mathematical Analysis and Applications 353 (68–84) 2009
Stochastic Resonance From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization McDonnell, Mark; Stocks, N; Pearce, Charles; Abbott, Derek, (Cambridge University Press) 2008
The multivariate Faa di Bruno formula and multivariate Taylor expansions with explicit integral remainder term Leipnik, R; Pearce, Charles, The ANZIAM Journal 48 (327–341) 2007
On an optimal control policy for stormwater management in two connected dams Pearce, Charles; Piantadosi, J; Howlett, P, Journal of Industrial and Management Optimization 3I (313–320) 2007
A comparison of two approaches to second-order subdifferentiability concepts with application to optimality conditions Eberhard, A; Pearce, Charles, chapter in Applied optimization - Optimization and control with applications (Springer-Verlag) 35–100, 2005

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