Publications

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Gumerov NA, Duraiswami R.  2009.  A broadband fast multipole accelerated boundary element method for the three dimensional Helmholtz equation. The Journal of the Acoustical Society of America. 125(1):191-205.
Gumerov NA, Chahine GL.  2000.  An inverse method for the acoustic detection, localization and determination of the shape evolution of a bubble. Inverse Problems. 16:1741-1741.
Gumerov NA, Duraiswami R.  2005.  Fast Multipole Method for the Biharmonic Equation. UMIACS-TR-2005-29
Gumerov NA, Duraiswami R.  2006.  Efficient computation of 3-D acoustical scattering from multiple arbitrarily shaped objects using the boundary element method/fast multipole method (BEM/FMM). The Journal of the Acoustical Society of America. 120(5):3282-3282.
Gumerov NA, O'Donovan AE, Duraiswami R, Zotkin DN.  2010.  Computation of the head-related transfer function via the fast multipole accelerated boundary element method and its spherical harmonic representation. The Journal of the Acoustical Society of America. 127(1):370-386.
Gumerov NA, Duraiswami R.  2001.  Modeling the effect of a nearby boundary on the HRTF. 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 5:3337-3340vol.5-3337-3340vol.5.
Gumerov NA, Duraiswami R.  2007.  A scalar potential formulation and translation theory for the time-harmonic Maxwell equations. Journal of Computational Physics. 225(1):206-236.
Gumerov NA, Duraiswami R.  2004.  Fast Multipole Methods For The Helmholtz Equation In Three Dimensions.
Gumerov NA, Duraiswami R.  2009.  Wideband fast multipole accelerated boundary element methods for the three-dimensional Helmholtz equation.. The Journal of the Acoustical Society of America. 125(4):2566-2566.
Gumerov NA, Chahine GL.  1998.  Dynamics of bubbles in conditions of gas hydrate formation. 8th International Offshore and Polar Engineering Conference, Montreal, Canada.
Gumerov NA, Duraiswami R, Tang Z.  2002.  Numerical study of the influence of the torso on the HRTF. Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on. 2:II–II-II–II.
Gumerov NA, Duraiswami R, Zotkin DN.  2006.  Head-related transfer functions via the fast multipole accelerated boundary element method. The Journal of the Acoustical Society of America. 120(5):3342-3343.
Gumerov NA, Berlin K, Fushman D, Duraiswami R.  2011.  A Hierarchical Algorithm for Fast Debye Summation with Applications to Small Angle Scattering. Technical Reports from UMIACS.
Gumerov NA.  2000.  Rectified Heat Transfer to Vapor Bubbles in Standing Acoustic Waves. Microgravity fluid physics and heat transfer: proceedings of the International Conference on Microgravity Fluid Physics and Heat Transfer held at the Tutle Bay Hilton, Oahu, Hawaii, September 19-24, 1999. :96-96.
Gumerov NA, Duraiswami R.  2008.  Fast multipole accelerated boundary element method (FMBEM) for solution of 3D scattering problems. The Journal of the Acoustical Society of America. 123(5):3419-3419.
Gumerov NA, Duraiswami R, Zotkin DN.  2007.  Fast Multipole Accelerated Boundary Elements for Numerical Computation of the Head Related Transfer Function. IEEE International Conference on Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. 1:I-165-I-168-I-165-I-168.
Gumerov NA, Duraiswami R.  2004.  Efficient computation of acoustical scattering from N spheres via the fast multipole method accelerated flexible generalized minimal residual method. The Journal of the Acoustical Society of America. 116(4):2528-2528.
Gumerov NA, O'donovan A, Duraiswami R, Zotkin DN.  2009.  Computation of the head-related transfer function via the boundary element method and representation via the spherical harmonic spectrum. Technical Reports from UMIACS UMIACS-TR-2009-06.
Gumerov NA, Zandifar A, Duraiswami R, Davis LS.  2004.  Structure of applicable surfaces from single views. Computer Vision-ECCV 2004. :482-496.
Gumerov NA, Duraiswami R.  2006.  FMM accelerated BEM for 3D Laplace & Helmholtz equations. Proceedings Int. Conf. on Boundary Element Techniques.
Gumerov NA.  2000.  Dynamics of vapor bubbles with nonequilibrium phase transitions in isotropic acoustic fields. Physics of Fluids. 12:71-71.
Gumerov NA, Duraiswami R.  2006.  Fast multipole method for the biharmonic equation in three dimensions. Journal of Computational Physics. 215(1):363-383.
Gumerov NA, Duraiswami R.  2003.  Acoustical scattering from N spheres using a multilevel fast multipole method. The Journal of the Acoustical Society of America. 113(4):2334-2334.
Gumerov NA, Duraiswami R.  2012.  Efficient FMM accelerated vortex methods in three dimensions via the Lamb-Helmholtz decomposition. arXiv:1201.5430.
Gumerov NA, Duraiswami R.  2002.  Computation of scattering from N spheres using multipole reexpansion. The Journal of the Acoustical Society of America. 112:2688-2688.

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