Mathematics
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Department of Mathematics & Statistics
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Professor Jörg Frauendiener

Office: Science III, room 223
Phone: 479-7770
Email: joergf@maths.otago.ac.nz

** Chair of Applied Mathematics **

Research Interests

Mathematical Physics.

In particular:

  • Gravitational waves
  • Conformal field equations and asymptotic structure
  • Initial boundary value problems for Einstein's field equations

Other interests:

  • Theta-functions in integrable systems
  • Air-Water interfaces

Project/Thesis Possibilities

I am prepared to supervise projects on various topics within applied mathematics. Come to see me to discuss the possibilities.

Papers

see arXiv or Google Scholar

Selected recent publications

  • Frauendiener, J. (2006). Discrete differential forms in general relativity. Classical & Quantum Gravity, 23(16), S369-S385. doi: 10.1088/0264-9381/23/16/S05
  • Richter, R., & Frauendiener, J. (2010). Discrete differential forms for (1+1)-dimensional cosmological space-times. SIAM Journal on Scientific Computing, 32(2), 1140-1158. doi: 10.1137/080734583
  • Thompson, R. T., Cummer, S. A., & Frauendiener, J. (2011). A completely covariant approach to transformation optics. Journal of Optics, 13(2), 024008. doi: 10.1088/2040-8978/13/2/024008
  • Frauendiener, J., & Klein, C. (2006). Hyperelliptic theta-functions and spectral methods: KdV and KP solutions. Letters in Mathematical Physics, 76(2-3), 249-267. doi: 10.1007/s11005-006-0068-4
  • Frauendiener, J., & Klein, C. (2011). Algebraic curves and Riemann surfaces in Matlab. In A. L. Bobenko & C. Klein (Eds.), Computational approach to Riemann surfaces: Lecture notes in mathematics (Vol. 2013). (pp. 125-162). Berlin, Germany: Springer. doi: 10.1007/978-3-642-17413-1_3