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
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. N.A. Gumerov
The growth and
collapse of a vapor bubble in the thermal regime at small Jacob numbers.
In: "Physicochemical Hydrodynamics". 28-34.
34. 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.
35. 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.
36. 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,
37. 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,
38. 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.
39. 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,
40. 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,
41. 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,
42. 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
43. N.A.
Gumerov
On waves of the self-induced acoustic transparency in
mixtures of liquid and vapor bubbles.
In:
44. 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,
45. 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.
46. 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.
47. N.A. Gumerov
A propagation of
the weak monochromatic waves in polydisperse gas-particle mixtures.
Proceedings of the IV
48. 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.
49. 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.
50. N.A. Gumerov
A mathematical
model for the hydrate formation processes.
Proceedings of
51. 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
52. 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.
53. 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,
54. N.A.
Gumerov & G.L. Chahine
Dynamics
of cavitating vortex ring.
EUROMECH 3rd European Fluid
Mechanics Conference. 140. DLR &
Georg-August-Universitaet,
55. 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.
56.
N.A. Gumerov
On
self-organization of voids in acoustic cavitation.
Proceedings of the Third International Conference on
Multiphase Flow, CD-ROM edition,
57. 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,
58.
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,
59. 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.
60. N.A. Gumerov
Rectified
heat transfer to vapor bubbles in standing acoustic waves.
UEF Microgravity Fluid Physics and
Heat Transfer Conference,
61. 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,
62.
N.A. Gumerov
Dynamics
of vapor bubbles in acoustic fields.
International Conference on
Multiphase Systems, 181-186,
63.
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.
64.
N.A. Gumerov & R. Duraiswami
Modeling
the effect of a nearby boundary on the HRTF.
International
Conference on Acoustics, Speech, and Signal Processing 2001,
65.
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.
66. 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,
67.
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,
68.
N.A. Gumerov & R. Duraiswami
Multiple
scattering from N spheres.
2002 IEEE AP-S International
Symposium and URSI National Radio Science Meeting,
69.
N.A. Gumerov & R. Duraiswami
Fast multipole translations
for the Helmholtz equation.
2002
70.
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,
71. 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.
72.
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,
73. 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,
74. 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
75. 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,
76.
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,
77.
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,
.
78.
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