Gregor Tanner

Contact

• workRoom B06 The Mathematical Science Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9513842
• fax0115 9514951
• gregor.tanner@nottingham.ac.uk

Selected Publications

• CHAPPELL, D.J., TANNER, G., LÖCHEL, D. and SØNDERGAARD, N., 2013. Discrete flow mapping: transport of phase space densities on triangulated surfaces Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 469(2155), 20130153
• HEIN, B. and TANNER, G., 2009. Wave communication across regular lattices Physical Review Letters. 103(26), 260501
• DAVID J CHAPPELL and GREGOR TANNER, 2013. Solving the stationary Liouville equation via a boundary element method Journal of Computational Physics. 234, 487 - 498
• TANNER, G., 2009. Dynamical energy analysis: determining wave energy distributions in vibro-acoustical structures in the high frequency regime Journal of Sound and Vibration. 320(4-5), 1023-1038

• View all publications

• JANIS BAJARS, DAVID J CHAPPELL, NIELS SONDERGAARD and GREGOR TANNER, 2017. Transport of phase space densities through tetrahedral meshes using discrete flow mapping Journal of Computational Physics. 328, 95-108
• STEPHEN C CREAGH, GABRIELE GRADONI, TIMO HARTMANN and GREGOR TANNER, 2017. Propagating wave correlations in complex systems Journal of Physics A: Mathematical and Theoretical. 50(4), 045101
• BAJARS, JANIS AND CHAPPELL, DAVID J. AND HARTMANN, TIMO AND TANNER, GREGOR, 2017. Improved Approximation of Phase-Space Densities on Triangulated Domains Using Discrete Flow Mapping with p-Refinement Journal of Scientific Computing. 72, 1290 - 1312
• TIMO HARTMANN, GREGOR TANNER, GANG XIE and DAVID J. CHAPPELL, 2016. Comparison of Methods for Modelling Mid-to-High Frequency Vibro-Acoustic Energy Distributions in a Vehicle Floor Structure In: SAE Technical Paper.
• J BAJARS, D CHAPPELL, T HARTMANN and G TANNER, 2016. Discrete Flow Mapping in coupled two and three dimensional domains: a global interface problem Journal of Physics: Conference Series. 744(1), 012097
• TIMO HARTMANN, GREGOR TANNER, GANG XIE, DAVID CHAPPELL and JANIS BAJARS, 2016. Modelling of high-frequency structure-borne sound transmission on FEM grids using the Discrete Flow Mapping technique Journal of Physics: Conference Series. 744(1), 012237
• FOULGER, IAIN, GNUTZMANN, SVEN and TANNER, GREGOR, 2015. Quantum walks and quantum search on graphene lattices PHYSICAL REVIEW A. 91(6),
• BOEHM, JULIAN, BELLEC, MATTHIEU, MORTESSAGNE, FABRICE, KUHL, ULRICH, BARKHOFEN, SONJA, GEHLER, STEFAN, STOECKMANN, HANS-JUERGEN, FOULGER, IAIN, GNUTZMANN, SVEN and TANNER, GREGOR, 2015. Microwave Experiments Simulating Quantum Search and Directed Transport in Artificial Graphene PHYSICAL REVIEW LETTERS. 114(11),
• GRADONI, GABRIELE, CREAGH, STEPHEN C., TANNER, GREGOR, SMARTT, CHRISTOPHER and THOMAS, DAVID W. P., 2015. A phase-space approach for propagating field-field correlation functions NEW JOURNAL OF PHYSICS. 17,
• IAIN FOULGER, SVEN GNUTZMANN and GREGOR TANNER, 2014. Quantum Search on Graphene Lattices Physical Review Letters. 112(7), 070504
• D J CHAPPELL, D LOECHEL, N SOENDERGAARD and G TANNER, 2014. Dynamical energy analysis on mesh grids - a new tool for describing the vibro-acoustic response of complex mechanical structures Wave Motion. 51(4), 589-597
• GREGOR TANNER and BRIAN MACE, 2014. Special issue of wave motion—‘‘Innovations in wave modelling’’ Wave Motion. 51(4), 547-549
• GREGOR TANNER, DAVID J CHAPPELL, DOMINIK LOECHEL and NIELS SOENDERGAARD, 2014. Discrete Flow Mapping - A Mesh Based Simulation Tool for Mid-to-High Frequency Vibro-Acoustic Excitation of Complex Automotive Structures SAE International Journal of Passenger Cars - Mechanical Systems. 7(3), 1198-1204
• DAVID J CHAPPELL and GREGOR TANNER, 2014. A boundary integral formalism for stochastic ray tracing in billiards Chaos. 24, 043137
• CHAPPELL, D.J., TANNER, G., LÖCHEL, D. and SØNDERGAARD, N., 2013. Discrete flow mapping: transport of phase space densities on triangulated surfaces Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 469(2155), 20130153
• DAVID J CHAPPELL and GREGOR TANNER, 2013. Solving the stationary Liouville equation via a boundary element method Journal of Computational Physics. 234, 487 - 498
• DANIEL WALTNER, SVEN GNUTZMANN, KLAUS RICHTER and GREGOR TANNER, 2013. Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs Physical review E. 85(5), 052919
• DAVID J CHAPPELL and GREGOR TANNER, 2012. Boundary element dynamical energy analysis: a versatile high-frequency method suitable for two or three dimensional problems Journal of Computational Physics. 231, 6181 - 6191
• HANIA A M BEN HAMDIN and GREGOR TANNER, 2012. Multi-Component BEM for the Helmholtz Equation - A Normal Derivative Method Shock and Vibration. 19, 957 - 967
• MAKSIMOV, D.N. and TANNER, G., 2011. A hybrid approach for predicting the distribution of vibro-acoustic energy in complex built-up structures Journal of the Acoustical Society of America. 130(3), 1337-1347
• CHAPPELL, D.J., GIANI, S. and TANNER, G., 2011. Dynamical energy analysis for built-up acoustic systems at high frequencies Journal of the Acoustical Society of America. 130(3), 1420-1429
• D MAKSIMOV and G TANNER, 2011. A Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-Up Structures: Technical Report 2011-01-1703 In: SAE 2011 Noise and Vibration Conference and Exhibition, May 2011, Michigan, USA. 7
• G TANNER, D J CHAPPELL and D N MAKSIMOV, 2011. Wave distributions in complex structures Acta Physica Polonica A. 120, A172 - A177
• LEE, M-H., BYUN, C.W., CHOI, N.N. and TANNER, G., 2010. Photoionization of two-electron atoms via highly doubly excited states: numerical and semiclassical results Phyical Review A. 81(4), 043419
• BIRGIT HEIN and GREGOR TANNER, 2010. Quantum search algorithms on regular lattices Physical Review A. 82, 012326
• HEIN, B. and TANNER, G., 2009. Quantum search algorithms on the hypercube Journal of Physics A: Mathematical and General. VOL 42(NUMB 8), 085303
• HEIN, B. and TANNER, G., 2009. Wave communication across regular lattices Physical Review Letters. 103(26), 260501
• TANNER, G., 2009. Dynamical energy analysis: determining wave energy distributions in vibro-acoustical structures in the high frequency regime Journal of Sound and Vibration. 320(4-5), 1023-1038
• BYUN, C.W., CHOI, N.N., LEE, M.-H. and TANNER, G., 2007. Scaling laws for the photoionisation cross section of two-electron atoms Physical Review Letters. 98(11), 113001
• TANNER, G. and SOENDERGAARD, N., 2007. Short wave length approximation of a boundary integral operatorfor homogeneous and isotropic elastic bodies Physical Review E: Statistical, Nonlinear and Soft Matter Physics. 75(3), 036607
• TANNER, G., CHOI, N.N., LEE, M.-H., CZASCH A. and DOERNER R., 2007. Evidence of triple collision dynamics in partial photo-ionization cross sections of helium Journal of Physics B: Atomic, Molecular and Optical Physics. 40, F157
• TANNER, G. and SOENDERGAARD, N., 2007. Wave Chaos in acoustics and elasticity Journal of Physics A: Mathematical and General. 40, R443-R509
• TANNER, G., 2006. From quantum graphs to quantum random walks In: Non-Linear Dynamics and Fundamental Interactions.
• DULLIN, H. R., ROBBINS, J. M., WAALKENS, H., CREAGH, S. C. and TANNER, G., 2005. Maslov indices and monodromy Journal of Physics A: Mathematical and General. VOL 38(NUMB 24), L443-L448
• LEE, M.-H., CHOI, N. N. and TANNER, G., 2005. Classical dynamics of two-electron atoms at zero energy (7 pages) Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. VOL 72(NUMB 6), 066215
• LEE, M.-H., TANNER, G. and CHOI, N. N., 2005. Classical dynamics of two-electron atoms near the triple collision (15 pages) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. VOL 71(NUMB 5), 056208
• CHOI, N.N., LEE, M.-H. and TANNER, G., 2004. Classical dynamics near the triple collision in a three-body Coulomb problem Physical Review Letters. 93(5), 054302
• SEVERINI, S. and TANNER, G., 2004. Regular quantum graphs Journal of Physics A: Mathematical and General. VOL 37(NUMB 26), 6675-6686
• ARTUSO, R., CVITANOVIC, P. and TANNER, G., 2003. Cycle Expansions for Intermittent Maps Progress of Theoretical Physics - Supplement. ISSU 150, 1-21
• PAKONSKI,P., TANNER,G. and ZYCZKOWSKI,K., 2003. Line-graph families and their quantisation Journal of Statistical Physics. 111(5-6), 1331-1352
• SONDERGAARD, N. and TANNER, G., 2002. Wave chaos in the elastic disk Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 66(6), 066211
• TANNER, G., 2002. The autocorrelation function for spectral determinants of quantum graphs Journal of Physics A: Mathematical and General. VOL 35(PART 29), 5985-5996
• TANNER, G., 2001. Unitary-stochastic matrix ensembles and spectral statistics Journal of Physics A: Mathematical and General. VOL 34(PART 41), 8485-8500
• GRUNDMANN,H.J., HORI,S. and TANNER,G., 2001. Determining the confidence when measuring genetic diversity and the discriminatory ability of typing methods for microorganisms Journal of Clinical Microbiology. 39, 4190-4192
• TANNER, G., 2000. Spectral statistics for unitary transfer matrices of binary graphs Journal of Physics A: Mathematical and General. VOL 33(PART 18), 3567-3586
• TANNER,G., RICHTER,K. and ROST,J.M., 2000. The theory of two-electron atoms: Between ground state and complete fragmentation Reviews of Modern Physics. 72, 497-544
• TANNER, G., 1999. Periodic orbit action correlations in the Baker map Journal of Physics A: Mathematical and General. VOL 32(NUMBER 27), 5071-5086
• ROST, J.M. and TANNER, G., 1997. Two electron atoms: from resonances to fragmentation. In: Classical, Semiclassical and Quantum Dynamics in Atoms Springer-Verlag Berlin, Berlin, Germany. 274-303
• TANNER, G., 1997. How chaotic is the stadium billiard? A semiclassical analysis Journal of Physics A: Mathematical and General. VOL 30(NUMBER 8), 2863-2888
• HANSEN,K., MAIN,J. and TANNER,G., 1996. The semiclassical resonance spectrum of hydrogen in a constant magnetic field Nonlinearity. 9, 1641-1670