Department of Mathematical Sciences
- Athena SWAN Bronze
- Physics of curly ribbon unveiled by Buddho Chakrabarti and Chris Prior
- Kasper Peeters gives second Departmental Research Colloquium
- Andrew Lobb to give the first Departmental Research Colloquium of the year
- Camila Caiado member of Durham University Council
- John Parker at Trieste Advance School and Workshop
Tuesday 10 May 2016 @ 4:00pm in CLC013: Collingwood Lecture 2016 by Professor Ray Goldstein FRS, Schlumberger Professor of Complex Physical Systems (Cambridge).`Evolution of Biological Complexity'
Wednesday 13 April 2016 in CM211: LMS Mathematical Methods in Reliability Lecture Day on Uncertainty Quantification.
Tuesday 8 March 2016 at 12:00pm in W309 (Geography): viewing of the documentary `He named me Malala', in the framework of activities to celebrate the International Women's Day 2016. The documentary (84 minutes) tells the story of a teenager girl who was attacked by gunmen in Pakistan for advocating girls' education. Malala went on to receive the 2014 Nobel Peace Prize and she created the Malala Fund that helps girls affected by conflict to learn safely. Further viewings of the film are planned on Monday 7 March in CM221, Wednesday 9 March in CG218, Thursday 10 March in W007 and Friday 11 March in CG218, all at 12 noon.
Wednesday 24 February 2016 at 2:00pm in CLC013: Pascal Lecture delivered by Professor Caroline Series (Warwick) on `Mirzakhani's starting point'
ECS-Mathematical Sciences Energy Seminars: Measurement-based identification of power system dynamic model & Numerical Methods for Optimal Control
16 May 2012 14:00 in E240
Janusz Bialek - Measurement-based identification of power system dynamic model (or inverse-engineering approach to eigenanalysis).
Eigenanalysis is a standard tool to analyse power system dynamics whereby the response of a high-order dynamic system is represented as superposition of responses of first- and second-order systems (so-called modes) defined by eigenvalues of the system state matrix. Obviously to determine eigenvalues it is necessary to know the full system model (i.e. the state matrix). This talk will describe an attempt at inverse-engineering eigenanalysis when the unknown system model is extracted from measurements of system modes and mode shapes. Professional help from linear algebra mathematicians is required to explain unexpected results when it was possible to extract the system model from an incomplete set of measurements.
Max Jensen - Numerical Methods for Optimal Control
I begin this short talk reviewing classical results from optimal control theory to place the approach by Bellman into a wider context. I then describe why the numerical solution of the Bellman equation remains a challenging problem. I conclude with some examples to show how this approach has been used to problems in energy production and finance.
Mathematical modelling underlies much of energy engineering. At Durham, relevant engineering research ranges from power network reliability, economics and planning, through reliability analysis of generation units, to computational fluid dynamics models of wind and steam turbines. For this reason, ECS and Mathematical Sciences are organising a joint seminar series to explore opportunities for future collaborative research and grant proposals.
Each seminar will consist of a 20-30 minute talk from each discipline, followed by an extended discussion. While these seminars are open to any Durham researcher, the series is tightly focused on discovering topics for future external proposals between the Mathematical Sciences and ECS.
A selection of recent grants
- Arithmetic of Automorphic Forms and Special L-Values (EPSRC First Grant, Thanasis Bouganis)
- Cluster algebras, Coxeter groups and hyperbolic manifolds (EPSRC, Anna Felikson)
- Particles, Fields and Spacetime (STFC, Simon Ross)
- New homotopy-type invariants of knots (EPSRC, Andrew Lobb)
- Photospheric Driving of Non-Potential Coronal Magnetic Field Simulations (US Air Force, Anthony Yeates)
- SPOCK: Scientific Properties Of Complex Knots (Leverhulme Trust Research Programme Grant, Paul Sutcliffe)
- Dutour Sikirić, Mathieu, Gangl, Herbert, Gunnells, Paul E., Hanke, Jonathan, Schürmann, Achill & Yasaki, Dan (2016). On the cohomology of linear groups over imaginary quadratic fields. Journal of Pure and Applied Algebra 220(7): 2564-2589.
- Feng, G., Patelli, E., Beer, M. & Coolen, F.P.A. (2016). Imprecise system reliability and component importance based on survival signature. Reliability Engineering & System Safety 150: 116-125.
- Prior, C. B. & Neukirch, S. (2016). The extended polar writhe: a tool for open curves mechanics. Journal of Physics A: Mathematical and Theoretical 49(21): 215201.
- Badziahin, D. & Shallit, J. (2016). An Unusual Continued Fraction. Proceedings of the American Mathematical Society 144(5): 1887-1896.
- Knieper, Gerhard & Peyerimhoff, Norbert (2016). Harmonic Functions on Rank One Asymptotically Harmonic Manifolds. The Journal of Geometric Analysis 26(2): 750-781.
Durham DH1 3LE