Office: 323 | Telephone: +61 8 8303 5412
Teaching duties
Honours supervision
| Thesis title |
Student |
Graduation |
| Gains, claims and pains: Mathematical and Statistical Problems in Occupational Health and Safety |
Samuel Cohen |
2007 |
Postgraduate supervision
Research interests
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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