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Nail A. Gumerov
Researcher at University of Maryland, College Park
Publications - 149
Citations - 3559
Nail A. Gumerov is an academic researcher from University of Maryland, College Park. The author has contributed to research in topics: Fast multipole method & Multipole expansion. The author has an hindex of 28, co-authored 144 publications receiving 3319 citations. Previous affiliations of Nail A. Gumerov include University of Maryland, Baltimore & Bashkir State University.
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Fast multipole methods for the Helmholtz equation in three dimensions
TL;DR: Introduction elementary factored solutions structure of FMM algorithms new results on recurrence relations translation coefficients transforms of the Helmhlotz equation properties and representations of translation operators applications of multipole methods.
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Fast multipole methods on graphics processors
TL;DR: The fast multipole method allows the rapid approximate evaluation of sums of radial basis functions and scales as O(N) in both time and memory compared to the direct method with complexity O( N^2), which allows the solution of larger problems with given resources.
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Approximating the head-related transfer function using simple geometric models of the head and torso.
TL;DR: Comparisons of the model HRTF with acoustic measurements in the horizontal, median, and frontal planes confirm the basic validity of the computational methods and establish that the geometric models provide good approximations of the HRTF for the KEMAR mannequin with its pinnae removed.
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A broadband fast multipole accelerated boundary element method for the three dimensional Helmholtz equation
TL;DR: The development of a fast multipole method (FMM) accelerated iterative solution of the boundary element method (BEM) for the Helmholtz equations in three dimensions is described and results of the developed solvers for large boundary value problems with 0.0001 less, similarkD less, similar500 are presented and shown to perform close to theoretical expectations.
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Fast head-related transfer function measurement via reciprocity.
TL;DR: An efficient method for head-related transfer function (HRTF) measurement using the acoustical principle of reciprocity is presented, and the obtained HRTFs are compared with the analytical solution for a sound-hard sphere and with KEMAR manikin HRTF obtained by the direct method.