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Professor Jörg Frauendiener

(PhD Tübingen)Generic Silhouette

Chair of Applied Mathematics
Fellow of the Royal Society of NZ

Office: Science III, room 223
Tel +64 3 479 7770
Email joerg.frauendiener@otago.ac.nz

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

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

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Publications

Frauendiener, J. (2022). DWC abstract. Proceedings of the Dodd-Walls Centre Dunedin Symposium. Retrieved from https://www.doddwalls.ac.nz/events

Arun, K. G., Belgacem, E., Benkel, R., Bernard, L., Berti, E., Bertone, G., … Frauendiener, J., Hennig, J., … Zumalacárregui, M. (2022). New horizons for fundamental physics with LISA. Living Reviews in Relativity, 4. Advance online publication. doi: 10.1007/s41114-022-00036-9

Frauendiener, J., Klein, C., Muhammad, U., & Stoilov, N. (2022). Numerical study of Davey–Stewartson I systems. Studies in Applied Mathematics. Advance online publication. doi: 10.1111/sapm.12491

Hennig, J., Frauendiener, J., & Macedo, R. P. (2022). The conformally invariant wave equation near spacelike infinity on Minkowski, Schwarzschild and Kerr. Proceedings of the Australasian Society for General Relativity & Gravitation (ASGRG) 11th Australasian Conference on General Relativity & Gravitation. Retrieved from https://www.asgrg2021.org/

Frauendiener, J., & Stevens, C. (2022). A new look at the Bondi-Sachs energy-momentum. Classical & Quantum Gravity, 39(2), 025007. doi: 10.1088/1361-6382/ac3e4f

Frauendiener, J., Giulini, D. J. W., & Perlick, V. (Eds.). (2006). Analytical and numerical approaches to mathematical relativity: Lecture notes in physics (Vol. 692). Berlin, Germany: Springer, 279p. doi: 10.1007/b11550259

Edited Book - Research

Frauendiener, J. (2018). Conformal infinity: Development and applications. In D. E. Rowe, T. Sauer & S. A. Walter (Eds.), Beyond Einstein: Perspectives on geometry, gravitation, and cosmology in the twentieth century: Einstein studies (Vol. 14). New York, NY: Springer. doi: 10.1007/978-1-4939-7708-6_16

Chapter in Book - Research

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

Chapter in Book - Research

Frauendiener, J. (2006). The computational aspects of general relativity. In E. Krause, Y. I. Shokin, M. Resch & N. Shokina (Eds.), Computational science and high performance computing II: Notes on numerical fluid mechanics and multidisciplinary design (Vol. 91). (pp. 115-127). Berlin, Germany: Springer.

Chapter in Book - Research

Arun, K. G., Belgacem, E., Benkel, R., Bernard, L., Berti, E., Bertone, G., … Frauendiener, J., Hennig, J., … Zumalacárregui, M. (2022). New horizons for fundamental physics with LISA. Living Reviews in Relativity, 4. Advance online publication. doi: 10.1007/s41114-022-00036-9

Journal - Research Article

Frauendiener, J., & Stevens, C. (2022). A new look at the Bondi-Sachs energy-momentum. Classical & Quantum Gravity, 39(2), 025007. doi: 10.1088/1361-6382/ac3e4f

Journal - Research Article

Frauendiener, J., Klein, C., Muhammad, U., & Stoilov, N. (2022). Numerical study of Davey–Stewartson I systems. Studies in Applied Mathematics. Advance online publication. doi: 10.1111/sapm.12491

Journal - Research Article

Frauendiener, J., & Stevens, C. (2021). The non-linear perturbation of a black hole by gravitational waves. I. The Bondi-Sachs mass loss. Classical & Quantum Gravity, 38, 194002. doi: 10.1088/1361-6382/ac1be3

Journal - Research Article

Frauendiener, J., Hakata, J., & Stevens, C. (2021). Can gravitational waves halt the expansion of the universe? Universe, 7(7), 228. doi: 10.3390/universe7070228

Journal - Research Article

Beyer, F., Frauendiener, J., & Hennig, J. (2020). Explorations of the infinite regions of spacetime. International Journal of Modern Physics D, 29(10), 2030007. doi: 10.1142/S0218271820300074

Journal - Research Article

Beyer, F., Frauendiener, J., & Ritchie, J. (2020). Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations. Physical Review D, 101, 084013. doi: 10.1103/PhysRevD.101.084013

Journal - Research Article

Beyer, F., Escobar, L., Frauendiener, J., & Ritchie, J. (2019). Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations. Classical & Quantum Gravity, 36(17), 175005. doi: 10.1088/1361-6382/ab3482

Journal - Research Article

Daszuta, B., & Frauendiener, J. (2019). Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild. Classical & Quantum Gravity, 36, 185008. doi: 10.1088/1361-6382/ab34d8

Journal - Research Article

Doulis, G., Frauendiener, J., Stevens, C., & Whale, B. (2019). COFFEE: An MPI-parallelized Python package for the numerical evolution of differential equations. SoftwareX, 10, 100283. doi: 10.1016/j.softx.2019.100283

Journal - Research Article

Frauendiener, J., Jaber, C., & Klein, C. (2019). Efficient computation of multidimensional theta functions. Journal of Geometry & Physics, 141, 147-158. doi: 10.1016/j.geomphys.2019.03.011

Journal - Research Article

Frauendiener, J. (2018). Notes on the Sagnac effect in general relativity. General Relativity & Gravitation, 50, 147. doi: 10.1007/s10714-018-2470-5

Journal - Research Article

Frauendiener, J., & Hennig, J. (2018). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. III: Nonspherical Schwarzschild waves and singularities at null infinity. Classical & Quantum Gravity, 35, 065015. doi: 10.1088/1361-6382/aaac8d

Journal - Research Article

Beyer, F., Escobar, L., & Frauendiener, J. (2017). Asymptotics of solutions of a hyperbolic formulation of the constraint equations. Classical & Quantum Gravity, 34(20), 205014. doi: 10.1088/1361-6382/aa8be6

Journal - Research Article

Beyer, F., Escobar, L., & Frauendiener, J. (2017). Criticality of inhomogeneous Nariai-like cosmological models. Physical Review D, 95(8), 084030. doi: 10.1103/PhysRevD.95.084030

Journal - Research Article

Beyer, F., Frauendiener, J., Stevens, C., & Whale, B. (2017). Numerical initial boundary value problem for the generalized conformal field equations. Physical Review D, 96(8), 084020. doi: 10.1103/PhysRevD.96.084020

Journal - Research Article

Doulis, G., & Frauendiener, J. (2017). Global simulations of Minkowski spacetime including spacelike infinity. Physical Review D, 95(2), 024035. doi: 10.1103/PhysRevD.95.024035

Journal - Research Article

Frauendiener, J., & Hennig, J. (2017). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild background. Classical & Quantum Gravity, 34, 045005. doi: 10.1088/1361-6382/aa54c4

Journal - Research Article

Frauendiener, J., & Klein, C. (2017). Computational approach to compact Riemann surfaces. Nonlinearity, 30(1), 138-172. doi: 10.1088/1361-6544/30/1/138

Journal - Research Article

Beyer, F., Escobar, L., & Frauendiener, J. (2016). Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S3 and symmetry group U(1). Physical Review D, 93, 043009. doi: 10.1103/PhysRevD.93.043009

Journal - Research Article

Beyer, F., Daszuta, B., & Frauendiener, J. (2015). A spectral method for half-integer spin fields based on spin-weighted spherical harmonics. Classical & Quantum Gravity, 32(17), 175013. doi: 10.1088/0264-9381/32/17/175013

Journal - Research Article

Frauendiener, J., & Klein, C. (2015). Computational approach to hyperelliptic Riemann surfaces. Letters in Mathematical Physics, 105(3), 379-400. doi: 10.1007/s11005-015-0743-4

Journal - Research Article

Beyer, F., Daszuta, B., Frauendiener, J., & Whale, B. (2014). Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics. Classical & Quantum Gravity, 31, 075019. doi: 10.1088/0264-9381/31/7/075019

Journal - Research Article

Frauendiener, J., & Hennig, J. (2014). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. Classical & Quantum Gravity, 31(8), 085010. doi: 10.1088/0264-9381/31/8/085010

Journal - Research Article

Frauendiener, J., & Stevens, C. (2014). Numerical evolution of plane gravitational waves in the Friedrich-Nagy gauge. Physical Review D, 89, 104026. doi: 10.1103/PhysRevD.89.104026

Journal - Research Article

Doulis, G., & Frauendiener, J. (2013). The second order spin-2 system in flat space near space-like and null-infinity. General Relativity & Gravitation, 45(7), 1365-1385. doi: 10.1007/s10714-013-1532-y

Journal - Research Article

Müller, T., & Frauendiener, J. (2013). Charged particles constrained to a curved surface. European Journal of Physics, 34(1), 147-160. doi: 10.1088/0143-0807/34/1/147

Journal - Research Article

Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2012). Numerical space-times near space-like and null infinity: The spin-2 system on Minkowski space. Classical & Quantum Gravity, 29(24), 245013. doi: 10.1088/0264-9381/29/24/245013

Journal - Research Article

Müller, T., & Frauendiener, J. (2012). Interactive visualization of a thin disc around a Schwarzschild black hole. European Journal of Physics, 33(4), 955-963. doi: 10.1088/0143-0807/33/4/955

Journal - Research Article

Peter, R., & Frauendiener, J. (2012). Free versus constrained evolution of the 2+1 equivariant wave map. Journal of Physics A, 45(5), 055201. doi: 10.1088/1751-8113/45/5/055201

Journal - Research Article

Frauendiener, J., & Szabados, L. B. (2011). A note on the post-Newtonian limit of quasi-local energy expressions. Classical & Quantum Gravity, 28(23), 235009. doi: 10.1088/0264-9381/28/23/235009

Journal - Research Article

Frauendiener, J., Klein, C., & Shramchenko, V. (2011). Efficient computation of the branching structure of an algebraic curve. Computational Methods & Function Theory, 11(2), 527-546.

Journal - Research Article

Frauendiener, J., Nester, J. M., & Szabados, L. B. (2011). Witten spinors on maximal, conformally flat hypersurfaces. Classical & Quantum Gravity, 28(18), 185004. doi: 10.1088/0264-9381/28/18/185004

Journal - Research Article

Müller, T., & Frauendiener, J. (2011). Studying null and time-like geodesics in the classroom. European Journal of Physics, 32, 747-759. doi: 10.1088/0143-0807/32/3/011

Journal - Research Article

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

Journal - Research Article

Thompson, R. T., Cummer, S. A., & Frauendiener, J. (2011). Generalized transformation optics of linear materials. Journal of Optics, 13(5), 055105. doi: 10.1088/2040-8978/13/5/055105

Journal - Research Article

Ammann, C., Frauendiener, J., & Holton, D. (2010). German undergraduate mathematics enrolment numbers: Background and change. International Journal of Mathematical Education in Science & Technology, 41(4), 435-449. doi: 10.1080/00207390903564629

Journal - Research Article

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

Journal - Research Article

Thompson, R. T., & Frauendiener, J. (2010). Dielectric analog space-times. Physical Review D, 82, 124021. doi: 10.1103/PhysRevD.82.124021

Journal - Research Article

Konrad, W., Apeltauer, C., Frauendiener, J., Barthlott, W., & Roth-Nebelsick, A. (2009). Applying methods from differential geometry to devise stable and persistent air layers attached to objects immersed in water. Journal of Bionic Engineering, 6(4), 350-356. doi: 10.1016/S1672-6529(08)60133-X

Journal - Research Article

Frauendiener, J. (2008). The applicability of constrained symplectic integrators in general relativity. Journal of Physics A, 41, 382005. doi: 10.1088/1751-8113/41/38/382005

Journal - Research Article

Frauendiener, J., & Kabobel, A. (2007). The static spherically symmetric body in relativistic elasticity. Classical & Quantum Gravity, 24(18), 4817-4837. doi: 10.1088/0264-9381/24/18/016

Journal - Research Article

Richter, R., Frauendiener, J., & Vogel, M. (2007). Application of discrete differential forms to spherically symmetric systems in general relativity. Classical & Quantum Gravity, 24(2), 433-453. doi: 10.1088/0264-9381/24/2/010

Journal - Research Article

Frauendiener, J. (2006). Discrete differential forms in general relativity. Classical & Quantum Gravity, 23(16), S369-S385. doi: 10.1088/0264-9381/23/16/S05

Journal - Research Article

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

Journal - Research Article

Pareja, M. J., & Frauendiener, J. (2006). Constant scalar curvature hypersurfaces in extended Schwarzschild space-time. Physical Review D, 74(4), 044026. doi: 10.1103/PhysRevD.74.044026

Journal - Research Article

More publications...