Book Released
On January 27, 2005 the Elsevier Ltd. officially published our book Fast
Multipole Methods for the Helmholtz Equation in Three
Dimensions (sales started on March
15, 2005). It is available for orders right now via amazon.com
or publisher’s
web site. Please visit them for abstract, order, or feedback.
N.A. Gumerov & R.
Duraiswami
A scalar potential formulation and
translation theory for the time-harmonic Maxwell equations.
UMIACS
TR 2006-09, Also issued as Computer Science Technical Report CS-TR-# 4785. Volume
29 pages.
V.C. Raykar,
C. Yang, R. Duraiswami, and N.A. Gumerov
Fast computation of sums of
Gaussians in high dimensions.
UMIACS
TR 2005-69, Also issued as Computer Science
Technical Report CS-TR-# 4767. Volume 38 pages.
N.A. Gumerov & R.
Duraiswami
Fast multipole
method for the biharmonic equation.
UMIACS
TR 2005-29, Also issued as Computer Science
Technical Report CS-TR-# 4722. Volume 26 pages.
N.A. Gumerov & R.
Duraiswami
UMIACS
TR 2005-09, Also issued as Computer Science
Technical Report CS-TR-# 4701. Volume 43 pages.
N.A. Gumerov & R.
Duraiswami
Computation of scattering from
clusters of spheres using the fast multipole method.
UMIACS
TR 2004-51, Also issued as Computer Science
Technical Report CS-TR-# 4609. Volume 50 pages.
Z. Tang, R. Duraiswami
& N.A. Gumerov
Fast algorithms to compute matrix vector products
for Pascal matrices.
UMIACS
TR 2004-08, Also issued as Computer Science
Technical Report CS-TR-# 4563. Volume 19 pages.
N.A. Gumerov, R. Duraiswami & E.A. Borovikov
Data
Structures, Optimal Choice of Parameters, and Complexity Results
for Generalized Multilevel Fast
Multipole Methods in d Dimensions
UMIACS TR 2003-28, Also
issued as Computer Science Technical
Report CS-TR-# 4458. Volume 91 pages.
N.A. Gumerov & R. Duraiswami
Multiple Scattering from N Spheres Using Multipole
Reexpansion
UMIACS TR 2001-72, Also issued as Computer Science
Technical Report CS-TR-# 4294.
Volume 27 pages (also published in JASA, 112(6), 2688-2701, 2002).
N.A. Gumerov & R. Duraiswami
UMIACS TR 2001-44, Also issued as Computer Science Technical Report CS-TR-# 4264.
Volume 48 pages (also published in SIAM J.
Sci. Stat. Comput. 25(4), 1344-1381, 2003) University of Maryland, College
Park, 2001.
N.A. Gumerov, C.-T. Hsiao & A.G. Goumilevski
Determination of the Accommodation Coefficient Using Vapor/Gas
Bubble Dynamics in an Acoustic Field.
Report NASA/CR-2001-210572. Volume: 123 pages.
N.A. Gumerov and R. Duraiswami
Fast multipole accelerated boundary element method for solution
of 3D scattering problems.
Acoustics’08 The 155th Meeting of the Acoustical Society of America, 5th
FORUM ACUSTiCUM and 9th Congres Francais d’Acoustique, Paris, France; June 29 – July 4, 2008,
J. Acoust. Soc. Am. 123, 3419, 2008.
N.A. Gumerov
Terascale on the desktop: Fast multipole
methods on graphical processors.
Numerical
Analysis seminar, September 25, 2007, UMD,
N.A.
Gumerov and R. Duraiswami
FMM
accelerated BEM for 3D Laplace & Helmholtz equations.
Proceedings of the International
Conference on Boundary Element Techniques, BETEQ-7,
N.A.
Gumerov
Method o scalar
potentials for the solution of Maxwell’s equations in three dimensions.
CSCAMM seminar, March 8, 2006, UMD,
N.A. Gumerov & R. Duraiswami
The 148 th Meeting of the Acoustical Society
of America (ASA), San Diego, California, USA, November 14-19; 2004, J. Acoust. Soc. Am. 116, 2528, 2004.
N.A. Gumerov, A.
Zandifar, R. Duraiswami, and L.S. Davis
Structure of applicable
surfaces from single views.
In: Lecture Notes
in Computer Science. Computer Vision – ECCV 2004: 8th European
Conference on Computer Vision, T. Pajdla and J. Matas (eds.), Vol. 3023, 482-496, Springer-Verlag, Heidelberg, Germany, 2004.
N.A. Gumerov & R. Duraiswami
Computation
of 3D scattering from clusters of spheres using the fast multipole
method.
CSCAMM workshop “Fast Multipole Method, Tree-Code and Related Approximate
Algorithms. Trading Exactness for Efficiency”,
C. Yang,
R. Duraiswami, N.A. Gumerov, and L.S Davis
Improved fast Gauss
transform.
Proceedings of the International Conference on Computer
N.A. Gumerov & R. Duraiswami
Fast Multipole Methods for Incompressible
Flow Simulations.
Presented
on April 7, 2003 at CSCAMM workshop “Perspectives on Incompressible Flows.
Comparison of Different Computational Strategies”,
N.A. Gumerov, A. Zandifar, R. Duraiswami, and L.S. Davis
Unwarping paper: A differential geometry approach.
Computer Vision Laboratory seminar, March 287, 2003, UMD,
Books:
1. N.A. Gumerov and R. Duraiswami
Fast Multipole Methods for the Helmholtz
Equation in Three Dimensions
Elsevier Ltd., Oxford, UK, 2004. Volume: 549 pages.
2. N.A. Gumerov
Unsteady flow of viscous
incompressible liquid around a cylinder at small Reynolds numbers.
Bulletin of
3. N.A. Gumerov,
A.I. Ivandaev & R.I. Nigmatulin
Dispersion and
dissipation of acoustic waves in aerosols.
Soviet Physics - Doklady, 28 (9), 713-715,
1983.
4. N.A. Gumerov
& A.I. Ivandaev
Peculiarities of
high-frequency acoustic perturbation propagation in steam and gas suspensions.
J. Appl. Mech. and Tech. Phys., 6, 823-830, 1985.
5. N.A. Gumerov,
A.I. Ivandaev & R.I. Nigmatulin
Sound waves in monodisperse gas-particle or vapour-droplet
mixtures.
J. Fluid Mech., 193, 53-74, 1988.
6. N.A. Gumerov & A.I. Ivandaev
Sound propagation in polydisperse
gas suspensions.
J. Appl. Mech. and
Tech. Phys. 5, 706-714, 1988.
7. N.A. Gumerov
The weak non-linear
fluctuations in the radius of a condensed drop in an acoustic field.
PMM U.S.S.R. 53 (2), 203-211, 1989.
8. N.A. Gumerov
& K.M. Fedorov
On phase diagrams
of two-component systems in the region of hydrate formation.
Inzhenerno-Fizicheskiy Zhurnal, 57(2), 331-332,
1989.
9. N.A. Gumerov
Long waves of
finite amplitude in polydispersed gas suspensions.
J. Appl. Mech. and Tech. Phys., 4, 660-664, 1990.
10. N.A. Gumerov
Weakly non-linear oscillations
of the radius of a vapour bubble in an acoustic
field.
J.Appl. Maths
Mechs 55 (2), 205-211, 1991.
11. N.A. Gumerov
On
quasi-monochromatic weakly nonlinear waves in a low-dissipative bubbly liquid.
J.Appl. Maths Mechs
56
(1), 50-59, 1992.
12. N.A. Gumerov
Propagation of long
waves of finite amplitude in a liquid with polydispersed
gas bubbles.
J. Appl. Mech. and Tech. Phys., 1, 79-85, 1992.
13. N.A. Gumerov
Self-similar growth
of a gas-hydrate layer separating gas and liquid.
Fluid Dynamics, 5, 664 -669, 1992.
14. N.A. Gumerov
The heat and mass transfer of a vapor bubble with translatory motion at high Nusselt
numbers.
Int. J. Multiphase
Flow 22(2), 259-272, 1996.
15.
The role of surface
tension in stable single bubble sonoluminescence.
Phys.Rev.Lett., 78, 227-230, 1997.
16.
N.A. Gumerov
Effect
of acoustic radiation on the stability of spherical bubble oscillations.
Physics of Fluids
10(7), 1767-1768, 1998.
17. N.A. Gumerov
Dynamics of
vapor bubbles with nonequilibrium phase transitions
in isotropic acoustic fields.
Physics of Fluids, 12(1), 71-88, 2000.
18. N.A.
Gumerov and G.L. Chahine
An inverse
method for the acoustic detection, localization and determination of the shape
evolution of a bubble.
Inverse Problems, 16,
1741-1760, 2000.
19. C.-T.
Hsiao, G. Chahine, N. Gumerov
Application
of a hybrid genetic/Powell algorithm and a boundary element method to
electrical impedance tomography.
Journal of Computational Physics, 173(2),
433-454, 2001.
20. V.R. Algazi, R.O. Duda, R. Duraiswami,
N.A. Gumerov and Z. Tang
Approximating the head-related transfer function using
simple geometric models of the head and torso.
J. Acoust. Soc. Am.112(5), Pt.1, 2053-2064, 2002.
21. N.A. Gumerov
and R. Duraiswami
Computation of scattering from N spheres using multipole reexpansion.
J. Acoust. Soc. Am.112(6), 2688-2701, 2002.
22. N.A. Gumerov
and R. Duraiswami
Recursions
for the computation of multipole translation and
rotation coefficients for the 3-D Helmholtz equation.
SIAM J. Sci. Stat.
Comput.,
25(4), 1344-1381, 2003.
23. F.
Seydou, R. Duraiswami, N.A. Gumerov, and T. Seppanen
TM
electromagnetic scattering from 2D multilayered dielectric bodies - numerical
solution.
Applied Comput. Electromagnetics Society Journal, 19(2), 100-107,
2004.
24.
N.A. Gumerov and R. Duraiswami
Computation of scattering from clusters of spheres
using the fast multipole method.
J. Acoust. Soc. Am. 117(4), 1744-1761,
2005.
25. N.A.
Gumerov, A. Zandifar, R. Duraiswami, and L.S. Davis
3D structure recovery and unwarping
of surfaces applicable to planes.
Int. Journal of Computer Vision, 66(3), 261-281,
2006.
26. N.A. Gumerov
and R. Duraiswami,
Fast multipole method for
the biharmonic equation.
Journal of Computational Physics, 215(1),
363-383, 2006.
27. D.N. Zotkin, R.
Duraiswami,
Fast head-related transfer function measurement via reciprocity.
J. Acoust. Soc. Am. 120(4),
2202-2215, 2006.
28. N.A. Gumerov
and R. Duraiswami
Fast radial basis function
interpolation via preconditioned Krylov iteration.
29. N.A. Gumerov
and R. Duraiswami,
A scalar potential formulation and translation
theory for the time-harmonic Maxwell equations.
Journal of Computational Physics, 225(1), 206-236,
2007.
30. Zh. Zhang, I.D. Mayergoyz, N.A.
Gumerov and R. Duraiswami,
Numerical analysis of plasmon resonances in nanoparticles
based on fast multipole method.
IEEE Transactions on Magnetics, 43(4),
1465-1468, 2007.
31. R. Duraiswami, D.N. Zotkin, and N.A.
Gumerov
Fast evaluation of
the room transfer function using multipole expansion.
IEEE Transactions on Speech and
Audio Processing, 15(2), 565-576, 2007.
32. N.A. Gumerov and R. Duraiswami
Fast multipole methods on graphics processors.
Journal of Computational Physics,
227, 8290-8313, 2008.
33. G. Stantchev,
W. Dorland, and
Fast parallel particle-to-grid interpolation for
plasma PIC simulations on the GPU.
Journal of Parallel and Distributed Computing, 68(10), 1339-1349,
2008.
34. N.A. Gumerov and R.
Duraiswami,
A
broadband fast multipole accelerated boundary element
method for the 3D Helmholtz equation.
J. Acoust. Soc. Am. 125(1), 191-205, 2009.
35. N.A. Gumerov
The growth and
collapse of a vapor bubble in the thermal regime at small Jacob numbers.
In: "Physicochemical Hydrodynamics". 28-34.
36. N.A. Gumerov
Equations
describing the propagation of long waves in polydisperse
gas suspensions and bubbly liquids without phase transitions in the
near-equilibrium approximation.
In: R.I. Nigmatulin (ed.)
Transactions of TDMMM, No. 1. 20-22.
37. N.A. Gumerov
A diffusion-strength mechanism of gas bubble
destruction in the region of hydrate formation.
In: R.I. Nigmatulin (ed.) Transactions of TDMMM, No. 1. 61-64.
38. N.A. Gumerov
A notice on sound
propagation in a non-dissipative polydisperse bubbly
medium.
In: R.I. Nigmatulin (ed.) Transactions
of TIMMS, No. 2. 20-24. Tyumen Institute of Mechanics of Multiphase
Systems,
39. N.A. Gumerov
Dynamics of a
spherical gas bubble in the thermal regime of hydrate formation.
In: R.I. Nigmatulin (ed.)
Transactions of TIMMS, No. 2. 73-77. Tyumen Institute of Mechanics of
Multiphase Systems,
40. R.I. Nigmatulin, N.A. Gumerov & Zuong Ngoc Hai
Transient heat and
mass transfer near drops and bubbles.
In: G.F. Hewitt, F. Mayinger
and J.R. Riznic (eds.) Phase/Interface phenomena in
multiphase flow. 525-542. Hemisphere Publishing Corporation. New-York, 1991.
41. N.A. Gumerov
Linear
monochromatic waves in polydisperse low-dissipative
bubbly liquids.
In: V.K. Kedrinskii
(ed.) Acoustics of
non-uniform media. 142-147. Lavrentiev Institute
of Hydrodynamics,
42. A.I. Ivandaev, D.A. Gubaidullin, N.A.
Gumerov & S. Yacubov
Linear waves in polydisperse vapor-gas-droplet mixtures.
In: R.I. Nigmatulin (ed.)
Transactions of TIMMS, No. 3. 30-36. Tyumen Institute of Mechanics of
Multiphase Systems,
43. N.A. Gumerov
Equations
describing the propagation of nonlinear modulation waves in a monodisperse mixture of an incompressible liquid and gas
bubbles.
In: R.I. Nigmatulin (ed.)
Transactions of TIMMS, No. 4. 27-34. Tyumen Institute of Mechanics of
Multiphase Systems,
44. N.A. Gumerov
Equations describing the propagation of nonlinear
modulation waves in bubbly liquids.
In: J.R. Blake et
al. (eds.), Bubble Dynamics and Interface Phenomena. 131-140. Kluwer Academic Publishers, the
45. N.A. Gumerov
On waves of the self-induced acoustic transparency in
mixtures of liquid and vapor bubbles.
In:
46. R. Duraiswami, N.A. Gumerov & G.L. Chahine
Solution of
electrical impedance tomography equations using boundary element methods.
In: 12th
International Conference on Boundary Element Technology. 7,
227-238,
47. N.A.
Gumerov, G.L. Chahine & A.G. Goumilevski
Dipole approximation method and its coupling with the
regular boundary element method for efficient electrical impedance tomography.
In: Boundary Element Technology XIII, C.S. Chen,
C.A. Brebbia, and D.W. Pepper (eds.), 217-226,
WIT Press, Southampton, UK, 1999.
48. N.A. Gumerov, A. Zandifar, R. Duraiswami, and L.S. Davis
Structure of applicable
surfaces from single views.
In: Lecture Notes in Computer
Science. Computer Vision, ECCV 2004: 8th European Conference on Computer
Vision, T. Pajdla and J. Matas
(eds.), Vol. 3023, 482-496, Springer-Verlag,
Heidelberg, Germany, 2004.
49. N.A. Gumerov
A propagation of
the weak monochromatic waves in polydisperse
gas-particle mixtures.
Proceedings of the IV
50. D.A. Gubaidullin, N.A. Gumerov & A.I. Ivandaev
Dynamics of weak
waves in vapour-gas droplet mixtures.
Abstracts of the VI National Congress on Theoretical
and Applied Mechanics. 227-228.
51. N.A. Gumerov
On diffusion
mechanism of gas hydrate formation and destruction.
Proceedings of the National School-Seminar
"Mathematical modelling in Natural Sciences and
Technology". 36.
52. N.A. Gumerov
A mathematical
model for the hydrate formation processes.
Proceedings of
53. A.G. Kutushev, R.I. Nigmatulin &
N.A. Gumerov
On some
peculiarities of the dusty particles' influence on the interaction between
shock waves and walls.
"Problems of Combustion
and Explosion". Transactions
of IX National Symposium on Combustion and Explosion. 101-104. Institute
of Physicochemical
54. N.A. Gumerov
Dynamics of
a spherical gas bubble in the thermal regime of hydrate formation.
Proceedings of XIII School-Seminar on Problems of Pipeline Transport. 29-30. VNIISPTneft.
55. N.A. Gumerov
Collapse and growth of vapor bubbles with translatory motion in the thermal regime at high Nusselt numbers.
G.E.A. Meier, G.H. Schnerr, E.H.J. Zierep (eds.),
Flows with Phase Transitions EUROMECH Colloquium 331. 30. DLR,
56. N.A.
Gumerov & G.L. Chahine
Dynamics
of cavitating vortex ring.
EUROMECH 3rd European Fluid
Mechanics Conference. 140. DLR & Georg-August-Universitaet,
57. N.A.
Gumerov & G.L. Chahine
Dynamics
of bubbles in conditions of gas hydrate formation.
J.S. Chung, T. Matsui, S. Naito
& M. Sayed (eds.) The Proceedings of the Eighth
(1998) International Offshore and Polar Engineering Conference,
Vol. I., 66-72.
58.
N.A. Gumerov
On
self-organization of voids in acoustic cavitation.
Proceedings of the Third
International Conference on Multiphase Flow, CD-ROM edition,
59. N.A. Gumerov
& R. Duraiswami
Modeling
of particle motion in viscous swirl flow between two porous cylinders.
Proceedings of 1998 ASME
International Fluids Engineering Division Summer Meeting,
CD-ROM edition,
60.
N.A. Gumerov
Determination
of the accommodation coefficient using vapor/gas bubble dynamics in an acoustic
field.
Proceedings of the 4th
Microgravity Fluid Physics & Transport Phenomena Conference,
CD-ROM edition,
61. N.A.
Gumerov & G.L. Chahine
Singular BEM and
its application to 3D electrical impedance tomography.
Proceedings of the 13th ASCE Engineering
Mechanics Conference, CD-ROM edition, Johns Hopkins University, Baltimore,
Maryland, USA, June, 13-16, 1999.
62. N.A. Gumerov
Rectified
heat transfer to vapor bubbles in standing acoustic waves.
UEF Microgravity Fluid Physics and
Heat Transfer Conference,
63. C-T. Hsiao, G.L. Chahine & N.A.
Gumerov
Application
of genetic algorithm and boundary element method to electrical impedance
tomography.
OptiCON'99 Optimization Software,
Methods, and Applications Conference,
64.
N.A. Gumerov
Dynamics
of vapor bubbles in acoustic fields.
International Conference on
Multiphase Systems, 181-186,
65. N.A. Gumerov, C.-T. Hsiao &
A.G. Goumilevski
Determination
of the accommodation coefficient using vapor/gas bubble dynamics in an acoustic
field.
Proceedings of the 5th
Microgravity Fluid Physics & Transport Phenomena Conference,
1475-1477, Cleveland, Ohio, USA, August
9-11, 2000.
66.
N.A. Gumerov & R. Duraiswami
Modeling
the effect of a nearby boundary on the HRTF.
International
Conference on Acoustics, Speech, and Signal Processing 2001,
67.
N.A. Gumerov
Rectified diffusion
and heat transfer to vapor-gas bubbles.
The Fourth International Conference on Multiphase Flow, New Orleans, Louisiana, USA, May 27- June 1, 2001.
68. R. Duraiswami, N.A. Gumerov, D.N. Zotkin
& L.S. Davis
Efficient evaluation of
reverberant sound fields.
2001 IEEE Workshop
on Applications of Signal Processing to Audio and Acoustics,
69.
N.A. Gumerov, .R. Duraiswami & Z. Tang
Numerical study of the
influence of the torso on the HRTF.
International Conference on
Acoustics, Speech, and Signal Processing 2002,
70.
N.A. Gumerov & R. Duraiswami
Multiple
scattering from N spheres.
2002 IEEE AP-S International
Symposium and URSI National Radio Science Meeting,
71.
N.A. Gumerov & R. Duraiswami
Fast multipole
translations for the Helmholtz equation.
2002
72.
C. Yang, R. Duraiswami, N.A. Gumerov, and L.S Davis
Improved fast Gauss transform.
Proceedings of the International
Conference on Computer Vision, 464-471,
73. R. Duraiswami, D.N. Zotkin, and N.A.
Gumerov
Interpolation and
range extrapolation of HRTFs.
International Conference on
Acoustics, Speech, and Signal Processing 2004, pp. IV-45-IV-48.
74.
Z. Li, R. Duraiswami, and N.A. Gumerov
Capture and recreation of higher
order 3D sound fields via reciprocity.
Proceedings of ICAD 04 – Tenth
Meeting of the International Conference on Auditory Display,
75. R. Duraiswami, D. N. Zotkin, Z. Li, E. Grassi,
N. A. Gumerov, and L. S. Davis
System for capturing of
high-order spatial audio using spherical microphone array and binaural
head-tracked playback over headphones with head related transfer function cues.
AES 119th Convention,
76. R. Duriaswami, Z. Li, D. N. Zotkin, E. Grassi, and N. A. Gumerov
Plane-wave decomposition
analysis for the spherical microphone arrays.
IEEE Workshop on Applications
of Signal Processing to Audio and Acoustics (WASPAA 2005), New
77. A. Yerukhimovich,
R. Duraiswami, N.A. Gumerov, and D.N. Zotkin
Interpolation and
range extrapolation of HRTFs.
International Conference on
Acoustics, Speech, and Signal Processing 2006,
78.
N.A. Gumerov and R. Duraiswami
FMM accelerated BEM for 3D Laplace
& Helmholtz equations.
Proceedings of the International
Conference on Boundary Element Techniques, BETEQ-7,
79.
D.N. Zotkin, R. Duraiswami, and N.A. Gumerov
Efficient conversion of X Y surround
sound content to binaural head-tracked form for HRTF-enabled playback.
International Conference on
Acoustics, Speech, and Signal Processing 2007,
.
80.
N.A. Gumerov, R. Duraiswami, and D.N. Zotkin
Fast multipole
accelerated boundary elements for computation of the head related transfer
function.
International Conference on
Acoustics, Speech, and Signal Processing 2007,
81.
N.A. Gumerov and R. Duraiswami
High frequency acoustic simulations
via FMM accelerated BEM.
19th International Congress on
82.
R. Duraiswami, D.N. Zotkin, and N.A. Gumerov
Room acoustics: compact
representation for multi-source binaural playback.
19th International Congress on
83.
A. O’Donovan, R. Duraiswami, and N.A. Gumerov
Real time capture of audio images
and their use with video.
IEEE Workshop on Applications
of Signal Processing to Audio and Acoustics (WASPAA 2007), New
84. A.I. Ivandaev & N.A. Gumerov
Influence of the unsteady
momentum, heat and mass exchange between phases on sound propagation in vapour-droplet or gas-particle mixtures.
Presented on III National School-Seminar on Multiphase
Flow.
Khumsan, 1982.
85. N.A. Gumerov
Vapour bubble dynamics at high Jacob numbers.
Presented on VIII School-Seminar on Problems of
Pipeline Transport.
86. N.A.Gumerov & K.M.Fedorov
A model of
filtration in porous media filled by gas hydrates.
Presented on I National Conference on Contemporary
Problems of the Filtration Theory.
87. N.A.Gumerov
Diffusion problems
in gas hydrate formation.
Presented on I National Symposium on Non-Traditional
Sources of Hydrocarbones.
88. N.A. Gumerov, Z. Tang, R. Duraiswami, R.O. Duda,
V.R. Algazi, S. T. Raveendra
Modeling the effect of
torso on the head-related transfer function via the boundary element method.
The
141st Meeting of the of the Acoustical Society of
89. N.A. Gumerov
Acoustic cavitation thresholds and stable oscillations of vapor-gas
bubbles.
The 141st Meeting of the of
the Acoustical Society of
90. N.A. Gumerov, R. Duraiswami, D.N. Zotkin and L.S. Davis
A multipole method for computation of
acoustics of a convex polyhedral room.
The 144st Meeting of the of
the Acoustical Society of
91. N.A. Gumerov
High frequency acoustic
scattering by a gas bubble.
The 144st Meeting of the of
the Acoustical Society of
92. N.A. Gumerov &
Fast multipole methods for incompressible flow
simulations.
CSCAMM workshop “Perspectives on Incompressible Flows.
Comparison of Different Computational Strategies”,
93. N.A. Gumerov & R.
Duraiswami
Acoustical scattering from N spheres using a multilevel fast multipole method.
The 145 th Meeting of the Acoustical Society
of America (ASA), Nashville, Tennessee, USA; April 27-May 2, 2003, J. Acoust. Soc. Am., 113, 2334, 2003.
94. F. Seydou, R. Duraiswami & N.A.
Gumerov
Analysis of particular phononic structures
using single integral equations.
The 145 th Meeting of the Acoustical Society
of America (ASA), Nashville, Tennessee, USA; April 27-May 2, 2003, J. Acoust. Soc. Am., 113, 2284, 2003.
95. F. Seydou, N.A. Gumerov & R.
Duraiswami
Two methods for solving a 3D acoustic inverse scattering problem.
The 145 th Meeting of the Acoustical Society
of America (ASA), Nashville, Tennessee, USA; April 27-May 2, 2003, J. Acoust. Soc. Am. 113, 2191, 2003.
96. N.A. Gumerov & R. Duraiswami
Computation of 3D scattering
from clusters of spheres using the fast multipole
method.
CSCAMM workshop “Fast Multipole Method, Tree-Code and Related Approximate
Algorithms. Trading Exactness for Efficiency”,
97. N.A. Gumerov & R. Duraiswami
Efficient computation of
acoustical scattering from N spheres via the fast multipole
method accelerated flexible generalized minimal residual method.
The 148 th Meeting of the Acoustical Society
of
98. R. Duraiswami & N.A. Gumerov
Iterative methods for use with
the fast multipole method.
Abstracts of the
99. N.A. Gumerov & R. Duraiswami
Efficient computation of 3-D acoustical scattering from multiple
arbitrarily shaped objects using the boundary element method/fast multipole method (BEM/FMM).
The 4 th Joint Meeting of the Acoustical
Society of America and the Acoustical Society of Japan, Honolulu,
Hawaii, USA; November 28 - December 2, 2006, J. Acoust.
Soc. Am. 120, 3282, 2006.
100. N.A. Gumerov, R. Duraiswami & D.N. Zotkin
Head-related transfer functions via the fast multipole
accelerated boundary element method.
The 4 th Joint Meeting of the Acoustical
Society of America and the Acoustical Society of Japan, Honolulu,
Hawaii, USA; November 28 - December 2, 2006, J. Acoust.
Soc. Am. 120, 3342, 2006.
101. N.A. Gumerov & R. Duraiswami
Fast multipole methods on graphics processors.
AstroGPU 2007 -- Workshop on General Purpose
Computation on Graphics Processing Units in Astronomy and Astrophysics, IAS, Princeton, NJ, USA; November 9-10,
2007.
102. N.A. Gumerov, R. Duraiswami & W.D. Dorland
Middleware for Fortran 9x
programming on NVIDIA CUDA.
AstroGPU 2007 -- Workshop on General Purpose Computation
on Graphics Processing Units in Astronomy and Astrophysics, IAS, Princeton, NJ, USA; November 9-10,
2007.
103. N.A. Gumerov, R. Duraiswami & W.D. Dorland
Middleware for programming
NVIDIA GPUs from Fortran 9X.
SC’07, International
Conference for High Performance Computing, Networking, Storage, and Analysis,
104. N.A. Gumerov & R. Duraiswami
Fast multipole accelerated boundary element method
(FMBEM) for solution of 3D scattering problems.
Acoustics’08 The 155th Meeting of the Acoustical Society of America, 5th
FORUM ACUSTiCUM and 9th Congres Francais d’Acoustique, Paris, France; June 29 - July 4, 2008,
J. Acoust. Soc. Am. 123, 3419, 2008.
105. X. Shao, A.
Karavaev, A.S. Sharma, K. Papadopoulos, N. Gumerov, G.
Joyce, A. Gigliotti & W. Gekelman
Modeling Alfven and Whistler waves generation by rotating magnetic field
source.
APS 50th Annual Meeting of the Division of Plasma Physics,
106. N. Gumerov, X.
Shao, A. Karavaev, A.S. Sharma, K. Papadopoulos, G.
Joyce, A. Gigliotti & W. Gekelman
Modeling Alfven and Whistler waves generation by rotating magnetic field
source.
American Geophysical Union, Fall Meeting,
107. A.I. Ivandaev & N.A. Gumerov
On the influence of
the unsteady effects of the momentum, heat and mass interaction between phases
on the propagation of weak perturbations in vapour-droplet
or gas-particle mixtures.
Report of the
108. A.T. Akhmetov, N.A. Akhmetova, Yu.S. Baiguskarov, A.A. Gubaidullin, N.A. Gumerov & A.G. Kutushev
Unsteady flows of
heterogeneous media with physical and chemical transformations.
Report of the Department of Physics and Mathematics of
the Bashkirian Branch of the
109. N.A. Gumerov & I.Kh. Rakhmatulina
Diffusional and thermal problems of gas hydrate formation.
Report of the
110. N.A. Gumerov
Equations
describing the propagation of long waves in polydisperse
gas-particle mixtures and bubbly liquids at the absence of phase transitions.
Report of the
111. N.A. Gumerov
Diffusional-strengthive mechanism of the gas bubble
destruction in the region of hydrate formation.
Report of the
112. N.A. Gumerov
Dynamics of a
spherical gas bubble in the thermal regime of hydrate formation.
Report of the
113. N.A. Gumerov
A note on sound
propagation in a non-dissipative polydisperse bubbly
medium.
Report of the
114. A.I. Ivandaev, D.A. Gubaidullin,
N.A. Gumerov & S. Yacubov
Linear waves in polydisperse
vapor-gas-droplet mixtures.
Report of the
Tyumen Institute of Mechanics of Multiphase Systems of Siberian Branch of the
Volume: 50 pages. Tyumen, 1992.
115. N.A. Gumerov
Equations describing the propagation of nonlinear
modulation waves in a monodisperse mixture of
incompressible liquid and gas bubbles.
Report of the
Tyumen Institute of Mechanics of Multiphase Systems of Siberian Branch of the
Volume: 110 pages.
[116-121].
Reports of Dynaflow, Inc.
122. N.A. Gumerov,
C.-T. Hsiao & A.G. Goumilevski
Determination of the accommodation coefficient using vapor/gas
bubble dynamics in an acoustic field.
Report NASA/CR-2001-210572. Volume: 123 pages.
123. N.A. Gumerov & R. Duraiswami
Fast, exact, and
stable computation of multipole translation and
rotation coefficients for the 3-D Helmholtz equation.
UMIACS TR 2001-44. Also issued as Computer Science Technical Report CS-TR-#
4264. Volume 48 pages.
124. N.A. Gumerov & R. Duraiswami
Multiple scattering
from N spheres using multipole reexpansion.
UMIACS TR 2001-72, Also issued as Computer Science Technical Report CS-TR-#
4294. Volume 27 pages.
125. N.A. Gumerov, R. Duraiswami & E.A. Borovikov
Data structures, optimal choice
of parameters, and complexity results
for generalized
multilevel fast multipole methods in d
dimensions.
UMIACS
TR 2003-28, Also issued as Computer Science
Technical Report CS-TR-# 4458. Volume 91 pages.
126. C. Yang, R.
Duraiswami, and N.A. Gumerov
Improved fast Gauss transform.
Computer Science Technical Report CS-TR-# 4495. Volume: 16 pages.
127. Z. Tang, R. Duraiswami & N.A. Gumerov
Fast algorithms
to compute matrix vector products for Pascal matrices.
UMIACS
TR 2004-08, Also issued as Computer Science
Technical Report CS-TR-# 4563. Volume 19 pages.
128. N.A. Gumerov & R.
Duraiswami
Computation
of scattering from clusters of spheres using the fast multipole
method.
UMIACS
TR 2004-51, Also issued as Computer Science
Technical Report CS-TR-# 4609. Volume 50 pages.
129. N.A. Gumerov and R.
Duraiswami
Comparison
of the efficiency of translation operators used in the fast multipole
method for the 3D
UMIACS
TR 2005-09, Also issued as Computer Science
Technical Report CS-TR-# 4701. Volume: 43 pages.
130. N.A. Gumerov and R.
Duraiswami
Fast multipole method for the biharmonic
equation.
UMIACS
TR 2005-29, Also issued as Computer Science
Technical Report CS-TR-# 4722. Volume: 26 pages.
131. V.C. Raykar,
C. Yang, R. Duraiswami, and N.A. Gumerov
Fast
computation of sums of Gaussians in high dimensions.
UMIACS
TR 2005-69, Also issued as Computer Science
Technical Report CS-TR-# 4767. Volume: 38 pages.
132. N.A. Gumerov and R.
Duraiswami
A
scalar potential formulation and translation theory for the time-harmonic
Maxwell equations
UMIACS
TR 2006-09, Also issued as Computer Science
Technical Report CS-TR-# 4785. Volume: 29 pages.
133. N.A. Gumerov and R.
Duraiswami
Fast multipole accelerated boundary element methods for the 3D
Helmholtz equation
UMIACS
TR 2008-03, Also issued as Computer Science
Technical Report CS-TR-# 4904. Volume: 43 pages.
134. N.A. Gumerov
Unsteady flow past a cylinder at small Reynolds
numbers.
M.S. thesis,
135. N.A. Gumerov
Dynamical processes in two-phase disperse media.
Ph.D. thesis in physics and mathematics (mechanics of fluids, gas, and
plasma).
136. N.A. Gumerov
Applications of asymptotic methods to solution of problems of dynamics
of disperse systems.
Sc.D. thesis in physics and mathematics (mechanics of fluids, gas and
plasma). Institute for Mechanics of Multiphase Systems,
137. R.
Duraiswami & N.A. Gumerov
Representation, Interpolation, Extrapolation and Measurement of Head
Related Transfer Functions.
Disclosure filed
October 2002. Provisional Patent filed November 2002. Full patent filed in
November 2003.