The founders of Fantalgo have several publications in areas related to the FMM. Relevant ones include:

  1. Nail A. Gumerov and Ramani Duraiswami. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions. The Elsevier Electromagnetism Series. Elsevier Science, Amsterdam, 2005. ISBN: 0080443710.
  2. Nail A. Gumerov and Ramani Duraiswami. Fast multipole method for the biharmonic equation in three dimensions. Journal of Computational Physics, 215(1):363–383, JUN 2006.
  3. Nail A. Gumerov and Ramani Duraiswami. A scalar potential formulation and translation theory for the time-harmonic Maxwell equations. Journal of Computational Physics, In Press, 2007. Published online Jan 16, 2007.
  4. Nail A. Gumerov and Ramani Duraiswami. Computation of scattering from clusters of spheres using the fast multipole method. The Journal of the Acoustical Society of America, 117(4):1744–1761, 2005.
  5. Nail A. Gumerov and Ramani Duraiswami. Recursions for the computation of multipole translation and rotation coefficients for the 3-D Helmholtz equation. SIAM Journal on Scientific Computing, 25(4):1344–1381, 2003.
  6. Nail A. Gumerov and Ramani Duraiswami. Computation of scattering from N spheres using multipole reexpansion. The Journal of the Acoustical Society of America, 112(6):2688–2701, 2002.
  7. Ramani Duraiswami, Dmitry N. Zotkin, and Nail A. Gumerov. Fast evaluation of the room transfer function using multipole expansion. IEEE Transactions on Speech and Audio Processing, Jan 2007.
  8. Nail A. Gumerov and Ramani Duraiswami. Comparison of the efficiency of translation operators used in the fast multipole method for the 3D Laplace equation. Technical Report CS-TR-4701 and UMIACS-TR 2005-09, University of Maryland Department of Computer Science and Institute for Advanced Computer Studies, Nov 2005.
  9. Nail A. Gumerov, Ramani Duraiswami, and Y.A. Borovikov. Data structures, optimal choice of parameters, and complexity results for generalized fast multipolemethods in d dimensions. CS/UMIACS UMIACS-TR-2003-28, CS-TR-4458, University of Maryland, Department of Computer Science and UMIACS, 2004.
  10. Vikas Chandrakant Raykar, Changjaing Yang, Ramani Duraiswami and Nail A. Gumerov. Fast Computation of Sums of Gaussians in High Dimensions. Technical Report CS-TR-4767 and UMIACS-TR-2005-69, University of Maryland, Department of Computer Science and UMIACS, 2005.

PDF copies of  some of these publications in most cases may be obtained from the websites of the publishers, or from our academic websites (here or  here), or from the University of Maryland technical report server..