Following is a list of available articles from my list of publications. Articles may be obtained by clicking on the appropriate link. For any questions, please contact the secretariat.

[1]  
Brandt, A.
A generalization of a combinatorial theorem of Sparre
Andersen about sums of random variables.
Math. Scand. 9 (1961) 325-358.


[2]  
Brandt, A. and Gillis, J.
Magnetohydrodynamic flow in the inlet region of a straight 
channel, Phys. of Fluids 9 (1966) 690-699.


[3]  
Brandt, A.
Estimates for difference quotients of solutions of Poisson
type difference equations.
Math. Comp. 20 (1966) 473-499.


[5]  
Brandt, A. and Kelson, I.
Single particle theory of fission.
Phys. Ref. 183 (1969) 1025-1054.


[9]  
Brandt, A. and Intrator, Y.
The assignment problem with three job categories.
Cas. Pest. Mat. 96 (1971) 8-11.


[12]  
Brandt, A.
Multi-level adaptive technique (MLAT) for fast numerical
solutions to boundary value problems, in {\it Proc.\ 3$^{rd}$
Int.\ Conf.\ on Numerical Methods in Fluid Mechanics\/}
(Cabannes, H.\ and Temam, R., eds.), Lecture Notes in Physics
18, Springer-Verlag, 1973, pp.\ 82--89.


[13]  
Brandt, A.
Generalized local maximum principles for elliptic and 
parabolic difference equations.
Math. Comp. 27 (1973) 685-718.


[15]  
South, J.C. and Brandt, A.
Application of a multi-level grid method to transonic flow 
calculations, in Transonic Flow Problems in Turbo
Machinery (Adam, T.C. and Platzer, M.F., eds.), Hemisphere,
Wash99ngton, 1977, pp. 180-207.


[16]  
Brandt, A.
Multi-level adaptive solutions to boundary-value problems
Mathematics of Computation 31(138), April 1977,
333-390.


[28]
Brandt, A., Multi-grid solvers for non-elliptic and 
singular-perturbation steady-state problems, 
Weizmann Institute of Science, Rehovot, December 1981.


[33]  
Brandt, A., McCormick, S. and Ruge, J.,
Multi-grid methods for differential eigenproblems
SIAM J. Sci. Stat. Comp. 4 (1983) 244-260.


[34]  
Brandt, A., Cryer, C.W.,
Multi-grid algorithms for the solution of linear complementarity
problems arising from free boundary problems
SIAM J. Sci. Stat. Comp. 4 (1983) 655-684.



[35]  
Barkai D., Brandt, A., 
Vectorized Multigrid Poisson Solver for the CDC Cyber 205
Applied Mathematics and Computation 13 (1983) 215-227.



[39] 
Brandt, A., Local and multi-level parallel processing mill, in
Rechnerarchiteckturen fur die Numerische Simulation auf der Basis
Superschneller Losungsverfahren, I
(Trottenberg, U. and Wypior, P., eds.), GMD-Studien Nr. 
88, 1984, pp. 31-40.


[41] 
Brandt, A., Introduction -- Levels and scales, in 
Multigrid Methods for Integral and Differential Problems
(Paddon, D. and Holstein, H., eds.), Clarendon Press, Oxford, 
1985, pp. 1-10.


[42]
Brandt, A. and Ta'asan, S., Multigrid solutions to 
quasi-elliptic schemes, in Progress and Supercomputing in 
Computational Fluid Dynamics (Murman, E.M. and 
Abarbanel, S.S., eds.), Birkhauser, Boston, 1985, pp. 235-255. 


[43] 
Brandt, A., Algebraic multigrid theory: The symmetric case,
in Preliminary Proc. Int. Multigrid Conf., Copper
Mountain, Colorado, April 6-8, 1983; Appl. Math. Comp. 
19 (1986) 23-56.


[45] 
Brandt, A., Ron, D. and Amit, D.J., Multi-level approaches
to discsrete-state and stochastic problems, in Multigrid
Methods, II (Hackbusch, W. and Trottenberg, U., eds.),
Springer-Verlag, 1986, pp. 100-122.


[47] 
Brandt, A., Multi-level approaches to large scale problems,
in Proc. ICM-86 (Int. Congr. of Mathematicians,
Berkeley, CA, August 1986), 1987, pp. 1319-1334.


[49] 
Brandt, A., Multilevel computations: Review and recent
developments, in Multigrid Methods: theory, Applications
and Supercomputing (McCormick, S.F., ed.), Marcel-Dekker,
1988, pp. 35-62.


[52] 
Brandt, A., Rigorous local mode analysis of multigrid, in
Preliminary Proc. 4th Copper Mountain Conf. on 
Multigrid Methods, Copper Mountain, Colorado, April 1989.


[55]
Brandt, A. and Lubrecht, A.A., Multilevel matrix multiplication
and fast solution of integral equations, 
 J. Comp. Phys. 90 (1990) 348-370.


[57]
The scope of multiresolution iterative computations.
SIAM News 23, (1990) 8-9.


[58]
Brandt, A. and Yavneh, I., Inadequacy of first-order upwind
difference scheme for some recirculating flows, 
Journal of Computational Physics, 93 (1991) 128-143.


[59]
Brandt, A., Multilevel computations of integral transforms and
particle interactions with oscillatory kernels, 
 Comp. Phys. Comm. 65 (1991) 24-38.


[67]
Brandt, A. and Yavneh, I., On multigrid solution of 
high-Reynolds incompressible entering flows, J. Comp. Phys.
101 (1992) 151-164.


[68]
Brandt, A., Multiscale computational methods: research
activities, in Proc. 1991 Hang Zhou International Conf. 
on Scientific Computation (Chan, T. and Shi, Z.-C., eds.),
World Scientific Publishing Co., Singapore, 1992, pp. 1-7.


[69]
Brandt, A., Multigrid methods in lattice field computations, 
Nucl. Phys. B (Proc. Suppl.) 26 (1992) 137-180.


[70]
Brandt, A. and Yavneh, I., Accelerated multigrid convergence and
high-Reynolds recirculation flows, SIAM J. Sci. Comp.
14 (1993) 607-62.


[72] 
Brandt, A., Rigorous quantitative analysis of multigrid:
I. Constant coefficients two level cycle with L_2 norm,
SIAM J. Num. Anal. 31 (1994) 1695-1730.


[73] 
Brandt, A., Galun, M. and Ron, D., Optimal multigrid
algorithms for calculating thermodynamic limits, J.
Stat. Phys. 74 (1994) 313-348.


[74] 
Brandt, A. and Diskin, B., Multigrid solvers on decomposed
domains, in Domain Decomposition Methods in Science and 
Engineering (A. Quarteroni, J. Periaux, Yu. A. Kuznetsov 
and O. Widlund, eds.) Contemp. Math., V. 157,
American Mathematical Society, 1994, pp. 135-155.


[80] 
Brandt, A. and Zaslavsky, L.Y., Multiscale algorithm for 
atmospheric data assimilation, SIAM J. Sci. Comp.,
Vol. 18 (1997), No. 3.


[84] 
Brandt, A. and Diskin, B., Multigrid solvers for non-aligned
sonic flows: the constant coefficient case, Computer
& Fluids 28 (1999) 511-549.


[85] 
Brandt, A. and Galun, M., Optimal multigrid algorithm for
the massive Gaussian model and path integrals, J. Stat.
Phys., 82 (1996) 1503-1518.


[86] 
Yavneh, I., Venner, C.H. and Brandt, A., Fast multigrid
solution of the advection problem with closed characteristics,
SIAM J. Sci. Comp. 19 (1998) 111-125.


[87] 
Brandt, A. and Galun, M., Optimal multigrid algorithms
for variable-coupling isotropic Gaussian models, J.
Stat. Phys. 88 (1997) 637-664.


[88]
Sharon, E., Brandt, A. and Basri, R., Completion energies
and scale. IEEE Conference on Computer Vision and Pattern
Recognition (CVPR-97), pp. 884-890, Puerto Rico, 1997.
IEEE Trans. on Pattern Analysis and Machine Intelligence
22 (2000) 1117-1131.


[89] 
Brandt, A., the Gauss Center Research in Scientific 
Computation, Electronic Trans. Num. An. 6
(1997), 1-34.


[90] 
Brandt, A. and Livshits, I., Wave-ray multigrid method for
standing wave equations, Electronic Trans. Num. An.
6 (1997), 162-181.


[92] 
Brandt, A., Barriers to Achieving Textbook Multigrid Efficiency
in CFD, ICASE Interim Report No. 32, NASA/CR-1998-207647. 
Appears as Appendix C in the textbook Multigrid,
by U. Trottenberg, C.W. Oosterlee and A. Schuller, Academic
Press, London, 2000.


[93] 
Brandt, A. and Dym, J. Fast computation of multiple line
integrals, SIAM J. Sci. Comp. 20 (1999)
1417-1429.


[94]
Brandt, A., Israeli, M., Yavneh, I. and Siegal, A., Multigrid
solution of an elliptic boundary-value problem with integral 
constraints, SIAM J. Sci. Comp. 21 (2000)
1357-1369.


[95]
Brandt, A. and diskin, B., Multigrid solvers for non-aligned 
sonic flows, SIAM J. Sci. Comp. 21 (1999) 473-501.


[96]
Brandt, A., Mann, J., Brodski, M. and Galun, M., A fast and
accurate multilevel inversion of the Radon transform, 
SIAM J. Appl. Math. 60 (1999) 437-462.


[99]
Sharon, E., Brandt, A. and Basri, R., Fast multiscale image
segmentation. Proc. IEEE Conf. on Computer Vision and
Pattern Recognition, south Carolina, 2000, pp. 70-77.


[100]
Brandt, A. and Ron, D., Renormalization multigrid (RMG):
statistically optimal renormalization group flow and 
coarse-to-fine Monte Carlo acceleration.
J. Stat. Phys., 102 (2001) 231-257.


[101]
Brandt, A., General highly accurate algebraic coarsening schemes.
Electronic Trans. Num. Anal. 10 (2000) 1-20.


[102]
Thomas, J.L., Diskin, B. and Brandt, A., Distributed relaxation
multigrid and defect correction applied to the compressible
Navier Stokes equations, AIAA paper 99-3334, Proc. 14th AIAA 
CFD Conference, Norfold, VA, July 1999.


[103] 
Thomas, J.L., Diskin, B. and Brandt, A. Textbook multigrid
efficiency for the incompressible Navier-Stokes equations:
High Reynolds number wakes and boundary layers. 


[105] 
Bai, D. and Brandt, A., Multiscale computation of polymer 
models. In: Brandt, A., Bernholc, J. and Binder, K. (eds.),
Multiscale Computational Methods in Chemistry and Physics.
NATO Science Series: Computer and System Sciences, Vol. 177,
IOS Press, Amsterdam (2001) pp. 250-266.


[108]
Brandt, A. and Iliyn, V., Multilevel approach in statistical
physics of liquids. In Multiscale Computational Methods in 
Chemistry and Physics. NATO Science Series: Computer and 
Systems Sciences, Vol 177, IOS Press, Amsterdam (2001),
pp. 187-197.


[110]
Brandt, A. and Ron, D., Renormalization Multigrid (RMG):
coarse-to-fine Monte Carlo acceleration and optimal derivation
of macroscopic descriptions. In [108], pp. 163-186.


[111]
Thomas, J.L., diskin, B., Brandt, A. and South, J.C. Jr.,
General framework for achieving textbook multigrid eficiency: 
quasi-1-D Euler example. In: Frontiers of Computational Fluid
Dynamics - 2002 (D.A. Caughey and M.M. Hafez, eds.), World
Scientific Publishing Company, Singapore, pp. 61-80.


[112]
Brandt, A. and Livshits, I., Accuracy properties of the 
multigrid algorithm for Helmholz equations. SIAM J. Sci.
computing, 28(4), (2006) 1228-1251.


[113]
Livne, O. and Brandt, A., N roots of secular equation
in O(N) operations, SIAM J. Matrix Anal. Appl., 
24 (2002) 439-453.


[114]
Brandt, A., Multiscale scientific computation: review 2000.
In Barth, T.J., Chan, T.F. and Haimes, r. (eds.): Multiscale
and Multiresolution Methods: Theory and Applications,
Springer Verlag, Heidelberg, 2001, pp. 1-96. 


[115]
Brandt, A., Diskin, B. and Thomas, J.L., Textbook multigrid
efficiency for computational fluid dynamics simulations, AIAA
paper 2001-2570, 15th AIAA Computational Fluid Dynamics
Conference, Anaheim, CA, June 11-14, 2001.


[116]
Sharon, E., Brandt, A. and Basri, R., Segmentation and 
boundary detection using multiscale intensity measurements,
Proc. IEEE Conf. on Computer Vision and Pattern
Recognition, Hawaii, 2001.


[117]
Livne, O.E., Brandt, A. and Boag, A., Multigrid Analysis
of Scattering by Large Planar Structures. Micro Opt.
Tech. Let. 32 (2002) 454-458.


[118] 
Brandt, A. and Ilyin, V., Multilevel Monte Carlo methods for 
studying large-scale phenomena in fluids. In Prof. Conf. 
Physics of Liquid Matter: Modern Problems (Kiev, Ukraine,
Sept. 14-19, 2001);J. of Molcular Liquids, 105
(2003) 253-256.


[119] 
Livne, O.E. and Brandt, A., Multiscale Eigenbasis Calculations: 
NEigenfunctions in O(NlogN). In Barth, T.J., 
Chan, T.F. and Haimes, R. (eds.): Multiscale and Multiresolution 
Methods: Theory and Applications, Lecture Notes in Computational 
Science and Engineering, Springer-Verlag, Heidelberg, 20 
(2001) 347-358.


[120] 
Livne, O.E. and Brandt, A. Local Mode Analysis of Multicolor
and Composite Relaxation Schemes, Computers and Math. with
Applications, 47 (2004) 301-317.


[121] 
Thomas, J.L., Diskin, B. and Brandt, A., Textbook multigrid for
fluid simulations, Annual Reviews in Fluid Mehanics 
 35 (2003) 317-340.


[122] 
Ron, D., Swendsen, R.H. and Brandt, A., Computer simulations 
at the fixed point using an inverse renormalization group 
transformation, Physica A 346 (2005) 387-399.


[123] 
Livne, O.E., Brandt, A. and Boag, A., Multigrid analysis
by large quasi-planar structures, Project 2721 - Final Report,
Defense Directorate for Research and Development, March 2002.


[124] 
Ron, D., Swendsen, R.H. and Brandt, A., Inverse Monte Carlo 
renormalization group transformations for critical phenomena, 
Phys. Rev. Lett., 89 (2002), #27.


[125]
Brandt, A. and Ron, D., Multigrid solvers and multilevel 
optimization strategies. In: Multilevel Optimization
and VLSICAD, (J. Cong. and J.R. Shinnerl, eds.),
Kluwer Academic Publishers, Boston, 2003, pp. 1-69.


[127] 
Brandt, A., Multiscale computation: from fast solvers to 
systematic upscaling. In: Computational Fluid and Solid 
Mechanics (K.J. Bathe, ed.), Elsevier (2003) 1871-1873.


[128] 
Brandt, A. and Livshits, I., Remarks on the wave-ray 
multigrid solvers for Helmholtz equations. In: Computational 
Fluid and Solid Mechanics (K.J. Bathe, ed.), Elsevier 
(2003) 1874.


[129] 
Safro, I., Ron, D. and Brandt, A., Graph minimum linear arrangement
by multilevel weighted edge contractions. J. of Algorithms,
60 (2006) 24-41.


[130]
Galun, M., Sharon, E., Basri, R. and Brandt, A., Texture
segmentation by multiscale aggregation of filter responses 
and shape elements, IEEE Int. Conf. on Computer Vision,
Nice, ICCV-03 Proceedings (2003) 716-723.


[131]
Gorelick, L., Galun, M. Sharon, E., Basri, R. and Brandt, A.,
Shape representation and classification using the Poisson 
equation. CVPR-04 Procedings 61-7, 2004. IEEE Trans.
Pattern Anal. Machine Intelligence, 28, (12),
1991-2005, Dec. (2006).


[132]
Garb, Kh., Brandt, A. and Boag, A., Directional aggregation
approach for fast field evaluation, AP-S/USRI 2004 paper #1484,
2004 IEEE AP-S International Symposium on Antennas and 
Propatation, Monterey, California, June 20-26.


[133]
Brandt, A. and Gandlin, R., Multigrid for Atmospheric
Data Assimilation Analysis. In: Hyperbolic Problems: 
Theory, Numerics, Applications (T.Y. Hou and E. Tadmor,
eds.), Springer 2003, pp. 369-376.


[134] 
Brandt, A. and Ilyin, V., Multilevel Monte Carlo method for 
simulations of fluids, condmat/0304686, 30 Apr. 2003, 12pp.


[135] 
Gandlin, R. and Brandt, A., Two multigrid algorithms for an 
inverse problem in electrical impedance tomography, 
Proc. 2003 Copper Mountain Conf. Multigrid Methods.


[136] 
Brandt, A., Systematic multiscaling in materials science 
computations, Proc. 2nd Int. Conf. on Multiscale Materials 
Modeling, Oct. 2004.


[137]
Safro, I., Ron, D. and Brandt, A., Multilevel algorithm
for the minimum 2-sum problem. J. Graph Algorithms and 
Applications Vol. 10, no. 2 (2006) 237-258.


[138] 
Kushnir, D., Galun, M. and Brandt, A., Fast multiscale 
clustering and manifold identification, J. Pattern 
Recognition, 39 (2006) 1876-1891.


[139]
Sharon, E., Galun, M., Sharon, D., Basri, R. and Brandt, A.
Hierarchy and adaptivity in segmenting visual scenes, 
Nature, 442 (2006) 810-813.


[140]
Brandt, A., Multiscale solvers and systematic upscaling in 
computational physics, Computer Physics Communication,
169 (2005) 438-441.


[141]
Safro, Il, Ron, D. and Brandt, A., Multilevel algorithms
for linear orddering problems, J. Experimental 
Algorithmics (2007).


[142] 
Axelrod-Ballin, A., Eyal, E., Galun, M., Furman-Haran, E., 
Gomori, M.J., Basri, R., Degani, H. and Brandt, A., 3D automatic 
segmentation of the rat uterus in MRI, The International Society 
for Optical Engineering Conf. on Medical Imaging, San Diego, 
SPIE-06 (2006).


[143] 
Brandt, A., Ilyin, V., Makedonska, N. and Suwan, I. Multilevel
summation and Monte Carlo simulations, J. Molecular 
Liquids 127 (2006) 37-39.


[144]
Schumacher, J., Kushnir, D., Brandt, A., Sreenivasan, K.R.
and Zilken, H. Statistics ad geometry in high-Schmidt number
scalar mixing, iTi Turbulence Conference Proc., 2005.


[145]
Kushnir, D., Schumacher, J. and Brandt, A., Geometry of 
intensive scalar mixing events in turbulence, 
Phys. Rev. Lett., 97 (2006), letter 124502.


[146]
Axelrod-Ballin, A., Galun, M., Gomori, M.J., Filippi, M.
Valsasina, P., Basri, R. and Brandt, A., Integrated
segmentation and classification approach applied to multiple
sclerosis analysis. IEEE conf. on Computer Vision and
pattern Recognition, New York, CVPR-06, I:1122-1129, 2006.


[147]
Eyal, E., Akselrod-Ballin, A., Galun, M., Furman-Haran, E.,
Basri, R., Brandt, A. and Degani, H., Dynamic monitoring 
of the rat uterus using 3D automatic segmentation, Conf.
of the International Society for Magnetic Resonance in 
Medicine, Seattle, IMSRM-06 (2006).


[148]
Akselrod-Ballin, A., Galun, M., Gomori, M.J., Basri, R., 
Brandt, A., Atlas guided identification of brain structures 
by combining 3D segmentation and SVM classification, Medical
Image Computing and Computer-Assisted Intervention, Copenhagen, 
MICCAI-06, LNCS 4191, 209-216 (2006). 


[150]
Alpert, S., Galun, M., Basri, R. and Brandt, A., Image
segmentation by probabilistic bottom-up aggregation and cue 
integration, IEEE Conf. on Computer Vision and Pattern 
Recogniition, CVPR-07 (2007).


[151]
Akselrod-Ballin, A., Galun, M., gomory, M.J., Basri, R. and
Brandt, A., Prior knowledge driven multiscale segmentation of
brain MRI, Medical Image Computing and Computer-Assited 
Intervention, Brisbane, Australia. MICCAI-007, Part II, 
LNCS 4792, 118-126 (2007).


[152]
Galun, M., Basri, R. and Brandt, A., Multiscale edge
detection and fiber enhancement using differences of 
oriented means. IEEE International Conf. on Computer Vision, 
Rio De Janeiro, ICCV-07 (2007).


[153]
Bandt, A., Principles of systematic upscaling, in Bridging
the Scales in Science and Engineering, J. Fish (Ed.), 
Oxford University Press, 2010, pp. 193-215.


[154]
Kushnir, D., Galun, M. and Brandt, A., Efficient multilevel
eigensolvers with applications to data analysis tasks, 
IEEE Trans. Pattern Anal. and Machine Intelligence 
(TPAMI-2008-08-0468), 2008.


[155]
Safro, I., Ron, D. and Brandt, A., Multilevel algorithms
for linear ordering problems, Journal of Experimental
Algorithmics 12:1.4-1.20, 2008.


[157]
Akselrod-Ballin, A., Galun, M., Gomori, J.M., Filippi, M.,
Valsasina, P., Basri, R. and Brandt, A. Integrated
segmentation and classification approach applied to multiple
sclerosis analysis, IEEE Transactions on Biomedical
Imaging 56(10), 2461-2469, 2009. 


[158]
Goldschmidt, Y., Galun, M., Sharon, E., Basri, R. and 
Brandt, A. Fast multiscale clustering by integrating 
collective features, submitted to Neural Information 
Processing Systems Conference, NIPS-07.


[159]
Zhu, Y., Sifakis, E., Teran, J. and Brandt, A., An efficient
parallelizable multigrid framework for rthe simulation of 
elastic solids. ACM Transactions on Graphics (accepted), 
2010.


[160]
Ron, D., Safro, R. and Brandt, A., A fast multigrid algorithm
for energy minimization under planar density constraints,
Multiscale Modeling and Simulation 18 No. 5, 2010.


[162]
Ron, D., Safro, R. and Brandt, A., Relaxation based coarsening and 
multiscale graph organization.


[163]
Brandt, A., Brannick, J., Kahl, K. and Livshits, I., Bootstrap
AMG, SIAM J. Sci. Comput.  33 (2011) 612-632.


[164]
Livne, O.E. and Brandt, A.E., MuST: The Multilevel Sinc Transform.
SIAM J. Sci. Comput. 33(4). 


[166]
Brandt, A. and Livne, O., Multigrid Techniques: 1984 Guide with 
Applications to Fluid dynamics, Revised Edition. Society for 
Industrial and Applied Mathematics: Philadelphia, 2011.


[167]
Bolten, M., Brandt, A., Brannick, J., Frommer, A., Kahl, K. and
Livshits, I., A bootstrap algebraic multilevel method for 
Markov chains. To appear in SIAM J. Sci. Comput. (2011).


[168]
Livne, O. and Brandt, A., Lean Algebraic Multigrid (LAMG): Fast
Graph Laplacian Solver. To appear in SIAM J. Sci. Comp. 
(2012).  


[169]
Cohen, O., Kronik, L. and Brandt, A., Locally refined multigrid
solution of the all-electron Kohn-Sham equation. 
Journal of Chemical Theory and Computation. Manuscript
ID ct-2013-00479u. Accepted (2013).


[170]
Ron, D., Flash, T. and Brandt, A., On octopus arm and multigrid
techniques for nonlinear constrained minimization. Submitted to:
Multiscale Modeling and Simulation: A SIAM Interdisciplinary
Journal (2013).




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