## Brandt, Achi E.

Compute Distance To:
 Author ID: brandt.achi-e Published as: Brandt, Achi; Brandt, A.; Brandt, Achi E. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 100 Publications since 1961, including 2 Books 2 Contributions as Editor Co-Authors: 48 Co-Authors with 60 Joint Publications 1,119 Co-Co-Authors
all top 5

### Co-Authors

 29 single-authored 9 Ron, Dorit 6 Diskin, Boris 6 Livne, Oren E. 6 Livshits, Irene 5 Galun, Meirav 5 Safro, Ilya 5 Yavneh, Irad 4 Brannick, James J. 4 Kahl, Karsten 3 Iliev, Oleg P. 3 McCormick, Steve Fahrney 3 Ruge, J. 3 Thomas, James L. 3 Venner, Cornelis H. 2 Dendy, Joel E. jun. 2 Gillis, Joseph E. 2 Ruge, John W. 2 Ta’asan, Shlomo 1 Adams, Mark F. 1 Adler, Joan 1 Alcouffe, R. E. 1 Amit, Daniel J. 1 Balsara, Dinshaw S. 1 Barkai, D. 1 Bates, J. R. 1 Bolten, Matthias 1 Brodski, Matvei 1 Cryer, Colin W. 1 Diemunsch, Jennifer 1 Dinar, Nathan 1 Dym, Jonathan 1 Efendiev, Yalchin R. 1 Erbes, Catherine 1 Ewing, Richard Edward 1 Frommer, Andreas 1 Fulton, Scott R. 1 Gandlin, Rima 1 Greenwald, Joseph 1 Intrator, Y. 1 Israeli, Moshe 1 Kushnir, Dan 1 Lanza, Antonio 1 Li, Yong 1 Lubrecht, Antonius Adrianus 1 Maderich, V. S. 1 Mann, Jordan 1 McWilliams, Jim 1 Mikulinsky, V. 1 Milliff, Ralf 1 Moffatt, Casey 1 Ong, Zhi Chao 1 Painter, J. W. 1 Ruppel, Hans 1 Samtaney, Ravi 1 Shmulyian, S. B. 1 Sidilkover, David 1 Siegel, Andrew R. 1 Smirnov, Sergey A. 1 South, Jerry C. jun. 1 Taylor, Gerald D. 1 van Heijst, Gert-Jan F. 1 Voropayev, Sergey I. 1 Willems, Joerg 1 Zaslavsky, Leonid Yu.
all top 5

### Serials

 14 SIAM Journal on Scientific Computing 7 Journal of Computational Physics 4 Journal of Statistical Physics 4 SIAM Journal on Scientific and Statistical Computing 4 ETNA. Electronic Transactions on Numerical Analysis 3 Mathematics of Computation 2 Computers and Fluids 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 SIAM Journal on Numerical Analysis 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 1 AIAA Journal 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Physics of Fluids 1 Časopis Pro Pěstování Matematiky 1 Mathematica Scandinavica 1 Journal of Algorithms 1 SIAM Journal on Matrix Analysis and Applications 1 Queueing Systems 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques 1 Journal of Physics A: Mathematical and General 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 Physics of Fluids 1 Journal of Graph Algorithms and Applications 1 ACM Journal of Experimental Algorithmics 1 Classics in Applied Mathematics 1 Numerical Mathematics: Theory, Methods and Applications
all top 5

### Fields

 77 Numerical analysis (65-XX) 28 Fluid mechanics (76-XX) 24 Partial differential equations (35-XX) 13 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

84 Publications have been cited 1,704 times in 1,226 Documents Cited by Year
Multi-level adaptive solutions to boundary-value problems. Zbl 0373.65054
Brandt, Achi
1977
Multigrid techniques: 1984 guide with applications to fluid dynamics. Zbl 0581.76033
Brandt, Achi
1984
Algebraic multigrid theory: The symmetric case. Zbl 0616.65037
Brandt, Achi
1986
The multi-grid method for the diffusion equation with strongly discontinuous coefficients. Zbl 0474.76082
Alcouffe, R. E.; Brandt, Achi; Dendy, J. E. jun.; Painter, J. W.
1981
Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014
Brandt, A.; McCormick, S.; Ruge, J.
1984
Rigorous quantitative analysis of multigrid. I: Constant coefficients two-level cycle with $$L_ 2$$-norm. Zbl 0817.65126
Brandt, Achi
1994
Multigrid techniques. 1984 guide with applications to fluid dynamics. Revised ed. Zbl 1227.65121
Brandt, Achi; Livne, Oren E.
2011
Guide to multigrid development. Zbl 0505.65037
Brandt, Achi
1982
Wave-ray multigrid method for standing wave equations. Zbl 0891.65127
Brandt, A.; Livshits, I.
1997
Local mesh refinement multilevel techniques. Zbl 0619.65091
Bai, D.; Brandt, A.
1987
Accelerated multigrid convergence and high-Reynolds recirculating flows. Zbl 0770.76039
Brandt, A.; Yavneh, I.
1993
Lean algebraic multigrid (LAMG): fast graph Laplacian linear solver. Zbl 1253.65045
Livne, Oren E.; Brandt, Achi
2012
Multigrid algorithms for the solution of linear complementarity problems arising from free boundary problems. Zbl 0542.65060
Brandt, Achi; Cryer, Colin W.
1983
Multilevel matrix multiplication and fast solution of integral equations. Zbl 0707.65025
Brandt, A.; Lubrecht, A. A.
1990
General highly accurate algebraic coarsening. Zbl 0951.65096
Brandt, Achi
2000
Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Zbl 0900.65121
Brandt, Achi
1991
On multigrid solution of high-Reynolds incompressible entering flows. Zbl 0757.76033
Brandt, A.; Yavneh, I.
1992
Multigrid methods for differential eigenproblems. Zbl 0517.65083
Brandt, A.; McCormick, S.; Ruge, J.
1983
Bootstrap AMG. Zbl 1227.65120
Brandt, A.; Brannick, J.; Kahl, K.; Livshits, I.
2011
Multigrid solutions to elliptic flow problems. Zbl 0447.76020
Brandt, Achi; Dinar, Nathan
1979
Inadequacy of first-order upwind difference schemes for some recirculating flows. Zbl 0709.76079
Brandt, A.; Yavneh, I.
1991
On recombining iterants in multigrid algorithms and problems with small islands. Zbl 0826.65022
Brandt, A.; Mikulinsky, V.
1995
Interior Schauder estimates for parabolic differential- (or difference-) equations via the maximum principle. Zbl 0184.32304
Brandt, A.
1969
Accuracy properties of the wave-ray multigrid algorithm for Helmholtz equations. Zbl 1119.65109
Livshits, Irene; Brandt, Achi
2006
Improved spectral multigrid methods for periodic elliptic problems. Zbl 0569.65084
Brandt, Achi; Fulton, Scott R.; Taylor, G. D.
1985
Graph minimum linear arrangement by multilevel weighted edge contractions. Zbl 1096.68687
Safro, Ilya; Ron, Dorit; Brandt, Achi
2006
Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems. Zbl 0259.76013
Brandt, Achi
1973
Multiscale scientific computation: Review 2001. Zbl 0989.65140
Brandt, Achi
2002
Multigrid solvers and multilevel optimization strategies. Zbl 1046.65043
Brandt, Achi; Ron, Dorit
2003
Interior estimates for second-order elliptic differential (or finite- difference) equations via the maximum principle. Zbl 0177.37102
Brandt, A.
1969
MuST: the multilevel sinc transform. Zbl 1230.65146
Livne, Oren E.; Brandt, Achi E.
2011
A robber locating strategy for trees. Zbl 1372.05138
Brandt, A.; Diemunsch, J.; Erbes, C.; LeGrand, J.; Moffatt, C.
2017
Relaxation-based coarsening and multiscale graph organization. Zbl 1219.68125
Ron, Dorit; Safro, Ilya; Brandt, Achi
2011
Parabolic multigrid revisited. Zbl 0737.65077
Brandt, Achi; Greenwald, Joseph
1991
Multigrid solvers on decomposed domains. Zbl 0796.65137
Brandt, Achi; Diskin, Boris
1994
Multi-level adaptive techniques (MLAT) for partial differential equations: Ideas and software. Zbl 0407.68037
Brandt, Achi
1977
Magnetohydrodynamic flow in the inlet region of a straight channel. Zbl 0139.22601
Brandt, A.; Gillis, J.
1966
Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira
2015
The assignment problem with three job categories. Zbl 0208.45702
Brandt, A.; Intrator, Y.
1971
Textbook multigrid efficiency for fluid simulations. Zbl 1041.76060
Thomas, James L.; Diskin, Boris; Brandt, Achi
2003
Vectorized multigrid Poisson solver for the CDC CYBER 205. Zbl 0526.65075
Barkai, D.; Brandt, A.
1983
Fast multiscale clustering and manifold identification. Zbl 1096.68720
Kushnir, Dan; Galun, Meirav; Brandt, Achi
2006
Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics. Zbl 1425.76297
Adams, Mark F.; Samtaney, Ravi; Brandt, Achi
2010
The multigrid method for semi-implicit hydrodynamics codes. Zbl 0421.76008
Brandt, Achi; Dendy, J. E. jun.; Ruppel, Hans
1980
Fast multigrid solution of the advection problem with closed characteristics. Zbl 0911.76051
Yavneh, Irad; Venner, Cornelis H.; Brandt, Achi
1998
Multigrid method for nearly singular and slightly indefinite problems. Zbl 0605.65022
Brandt, A.; Ta’asan, S.
1986
Multigrid solution to steady-state two-dimensional conservation laws. Zbl 0768.65060
Sidilkover, David; Brandt, Achi
1993
Multi-level adaptive techniques (MLAT) for singular-perturbation problems. Zbl 0441.65074
Brandt, Achi
1979
Multilevel adaptive computations in fluid dynamics. Zbl 0474.76002
Brandt, Achi
1980
Optimal multigrid algorithms for calculating thermodynamic limits. Zbl 0946.65506
Brandt, A.; Galun, M.; Ron, D.
1994
Textbook multigrid efficiency for the incompressible Navier-Stokes equations: High Reynolds number wakes and boundary layers. Zbl 0984.76063
Thomas, James L.; Diskin, Boris; Brandt, Achi
2001
Local mode analysis of multicolor and composite relaxation schemes. Zbl 1054.65127
Livne, O. E.; Brandt, A.
2004
Dipolar eddies in a stratified shear flow. Zbl 1184.76577
Voropayev, S. I.; Smirnov, S. A.; Brandt, A.
2001
A generalization of a combinatorial theorem of Sparre Andersen about sums of random variables. Zbl 0105.11703
Brandt, Achi
1961
Laboratory experiments on intrusive flows and internal waves in a pycnocline. Zbl 0969.76508
Maderich, V. S.; van Heijst, G. J. F.; Brandt, A.
2001
A fast and accurate multilevel inversion of the Radon transform. Zbl 1013.92027
Brandt, Achi; Mann, Jordan; Brodski, Matvei; Galun, Meirav
2000
Algebraic distance for anisotropic diffusion problems: multilevel results. Zbl 1327.65261
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Irene
2015
Multi-level adaptive finite-element methods. I. Variational problems. Zbl 0451.65051
Brandt, A.
1980
Multigrid solvers on parallel computers. Zbl 0473.65069
Brandt, Achi
1981
Three-state Potts antiferromagnet on the triangular lattice. Zbl 0868.60086
Adler, J.; Brandt, A.; Janke, W.; Shmulyian, S.
1995
The Gauss center research in multiscale scientific computation. Zbl 0894.65001
Brandt, Achi
1997
On stationary queue length distributions for G/M/s/r queues. Zbl 0673.60100
Brandt, A.
1988
Generalized local maximum principles for finite-difference operators. Zbl 0281.65055
Brandt, Achi
1973
Multigrid solutions to steady-state compressible Navier-Stokes equations. I. Zbl 0599.76084
Brandt, Achi
1982
Multi-level approaches to discrete-state and stochastic problems. Zbl 0605.65002
Brandt, Achi; Ron, Dorit; Amit, Daniel J.
1986
A multilevel algorithm for the minimum 2-sum problem. Zbl 1161.68698
Safro, Ilya; Ron, Dorit; Brandt, Achi
2006
Multilevel computations: Review and recent developments. Zbl 0652.65074
Brandt, Achi
1988
A bootstrap algebraic multilevel method for Markov chains. Zbl 1269.65033
Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira
2011
Stages in developing multigrid solutions. Zbl 0461.65076
Brandt, A.
1980
Fast calculation of multiple line integrals. Zbl 0927.65037
Brandt, A.; Dym, J.
1999
Multigrid solvers for the non-aligned sonic flow: The constant coefficient case. Zbl 0970.76064
Brandt, Achi; Diskin, Boris
1999
Multiscale eigenbasis calculations: $$N$$ eigenfunctions in $$O(N\log N)$$. Zbl 0989.65129
Livne, Oren E.; Brandt, Achi
2002
Estimates for difference quotients of solutions of Poisson type difference equations. Zbl 0259.65091
Brandt, Achi
1966
Principles of systematic upscaling. Zbl 1218.65142
Brandt, Achi
2010
Some theorems on statically determinate prestressed beams designed for minimum potential. Zbl 0107.41304
Brandt, A.
1962
Renormalization multigrid (RMG): Statistically optimal renormalization group flow and coarse-to-fine Monte Carlo acceleration. Zbl 1072.82527
Brandt, Achi; Ron, Dorit
2001
Multigrid solvers for nonaligned sonic flows. Zbl 0955.76064
Brandt, Achi; Diskin, Boris
1999
Multilevel algorithms for linear ordering problems. Zbl 1284.68685
Safro, Ilya; Ron, Dorit; Brandt, Achi
2009
Multiscale algorithm for atmospheric data assimilation. Zbl 0873.65136
Brandt, Achi; Zaslavsky, Leonid Yu.
1997
$$N$$ roots of the secular equation in $$O(N)$$ operations. Zbl 1017.65035
Livne, Oren E.; Brandt, Achi
2002
Multilevel evaluation of integral transforms with asymptotically smooth kernels. Zbl 0913.65125
Brandt, A.; Venner, C. H.
1998
A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow-water model on the sphere. Zbl 0970.76069
Ruge, John W.; Li, Yong; McCormick, Steve; Brandt, Achi; Bates, J. R.
2000
Multigrid in general relativity: I. Schwarzschild spacetime. Zbl 0643.65089
Brandt, Achi; Lanza, Antonio
1988
Multigrid solutions to quasi-elliptic schemes. Zbl 0599.76033
Brandt, Achi; Ta’asan, Shlomo
1985
A robber locating strategy for trees. Zbl 1372.05138
Brandt, A.; Diemunsch, J.; Erbes, C.; LeGrand, J.; Moffatt, C.
2017
Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira
2015
Algebraic distance for anisotropic diffusion problems: multilevel results. Zbl 1327.65261
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Irene
2015
Lean algebraic multigrid (LAMG): fast graph Laplacian linear solver. Zbl 1253.65045
Livne, Oren E.; Brandt, Achi
2012
Multigrid techniques. 1984 guide with applications to fluid dynamics. Revised ed. Zbl 1227.65121
Brandt, Achi; Livne, Oren E.
2011
Bootstrap AMG. Zbl 1227.65120
Brandt, A.; Brannick, J.; Kahl, K.; Livshits, I.
2011
MuST: the multilevel sinc transform. Zbl 1230.65146
Livne, Oren E.; Brandt, Achi E.
2011
Relaxation-based coarsening and multiscale graph organization. Zbl 1219.68125
Ron, Dorit; Safro, Ilya; Brandt, Achi
2011
A bootstrap algebraic multilevel method for Markov chains. Zbl 1269.65033
Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira
2011
Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics. Zbl 1425.76297
Adams, Mark F.; Samtaney, Ravi; Brandt, Achi
2010
Principles of systematic upscaling. Zbl 1218.65142
Brandt, Achi
2010
Multilevel algorithms for linear ordering problems. Zbl 1284.68685
Safro, Ilya; Ron, Dorit; Brandt, Achi
2009
Accuracy properties of the wave-ray multigrid algorithm for Helmholtz equations. Zbl 1119.65109
Livshits, Irene; Brandt, Achi
2006
Graph minimum linear arrangement by multilevel weighted edge contractions. Zbl 1096.68687
Safro, Ilya; Ron, Dorit; Brandt, Achi
2006
Fast multiscale clustering and manifold identification. Zbl 1096.68720
Kushnir, Dan; Galun, Meirav; Brandt, Achi
2006
A multilevel algorithm for the minimum 2-sum problem. Zbl 1161.68698
Safro, Ilya; Ron, Dorit; Brandt, Achi
2006
Local mode analysis of multicolor and composite relaxation schemes. Zbl 1054.65127
Livne, O. E.; Brandt, A.
2004
Multigrid solvers and multilevel optimization strategies. Zbl 1046.65043
Brandt, Achi; Ron, Dorit
2003
Textbook multigrid efficiency for fluid simulations. Zbl 1041.76060
Thomas, James L.; Diskin, Boris; Brandt, Achi
2003
Multiscale scientific computation: Review 2001. Zbl 0989.65140
Brandt, Achi
2002
Multiscale eigenbasis calculations: $$N$$ eigenfunctions in $$O(N\log N)$$. Zbl 0989.65129
Livne, Oren E.; Brandt, Achi
2002
$$N$$ roots of the secular equation in $$O(N)$$ operations. Zbl 1017.65035
Livne, Oren E.; Brandt, Achi
2002
Textbook multigrid efficiency for the incompressible Navier-Stokes equations: High Reynolds number wakes and boundary layers. Zbl 0984.76063
Thomas, James L.; Diskin, Boris; Brandt, Achi
2001
Dipolar eddies in a stratified shear flow. Zbl 1184.76577
Voropayev, S. I.; Smirnov, S. A.; Brandt, A.
2001
Laboratory experiments on intrusive flows and internal waves in a pycnocline. Zbl 0969.76508
Maderich, V. S.; van Heijst, G. J. F.; Brandt, A.
2001
Renormalization multigrid (RMG): Statistically optimal renormalization group flow and coarse-to-fine Monte Carlo acceleration. Zbl 1072.82527
Brandt, Achi; Ron, Dorit
2001
General highly accurate algebraic coarsening. Zbl 0951.65096
Brandt, Achi
2000
A fast and accurate multilevel inversion of the Radon transform. Zbl 1013.92027
Brandt, Achi; Mann, Jordan; Brodski, Matvei; Galun, Meirav
2000
A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow-water model on the sphere. Zbl 0970.76069
Ruge, John W.; Li, Yong; McCormick, Steve; Brandt, Achi; Bates, J. R.
2000
Fast calculation of multiple line integrals. Zbl 0927.65037
Brandt, A.; Dym, J.
1999
Multigrid solvers for the non-aligned sonic flow: The constant coefficient case. Zbl 0970.76064
Brandt, Achi; Diskin, Boris
1999
Multigrid solvers for nonaligned sonic flows. Zbl 0955.76064
Brandt, Achi; Diskin, Boris
1999
Fast multigrid solution of the advection problem with closed characteristics. Zbl 0911.76051
Yavneh, Irad; Venner, Cornelis H.; Brandt, Achi
1998
Multilevel evaluation of integral transforms with asymptotically smooth kernels. Zbl 0913.65125
Brandt, A.; Venner, C. H.
1998
Wave-ray multigrid method for standing wave equations. Zbl 0891.65127
Brandt, A.; Livshits, I.
1997
The Gauss center research in multiscale scientific computation. Zbl 0894.65001
Brandt, Achi
1997
Multiscale algorithm for atmospheric data assimilation. Zbl 0873.65136
Brandt, Achi; Zaslavsky, Leonid Yu.
1997
On recombining iterants in multigrid algorithms and problems with small islands. Zbl 0826.65022
Brandt, A.; Mikulinsky, V.
1995
Three-state Potts antiferromagnet on the triangular lattice. Zbl 0868.60086
Adler, J.; Brandt, A.; Janke, W.; Shmulyian, S.
1995
Rigorous quantitative analysis of multigrid. I: Constant coefficients two-level cycle with $$L_ 2$$-norm. Zbl 0817.65126
Brandt, Achi
1994
Multigrid solvers on decomposed domains. Zbl 0796.65137
Brandt, Achi; Diskin, Boris
1994
Optimal multigrid algorithms for calculating thermodynamic limits. Zbl 0946.65506
Brandt, A.; Galun, M.; Ron, D.
1994
Accelerated multigrid convergence and high-Reynolds recirculating flows. Zbl 0770.76039
Brandt, A.; Yavneh, I.
1993
Multigrid solution to steady-state two-dimensional conservation laws. Zbl 0768.65060
Sidilkover, David; Brandt, Achi
1993
On multigrid solution of high-Reynolds incompressible entering flows. Zbl 0757.76033
Brandt, A.; Yavneh, I.
1992
Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Zbl 0900.65121
Brandt, Achi
1991
Inadequacy of first-order upwind difference schemes for some recirculating flows. Zbl 0709.76079
Brandt, A.; Yavneh, I.
1991
Parabolic multigrid revisited. Zbl 0737.65077
Brandt, Achi; Greenwald, Joseph
1991
Multilevel matrix multiplication and fast solution of integral equations. Zbl 0707.65025
Brandt, A.; Lubrecht, A. A.
1990
On stationary queue length distributions for G/M/s/r queues. Zbl 0673.60100
Brandt, A.
1988
Multilevel computations: Review and recent developments. Zbl 0652.65074
Brandt, Achi
1988
Multigrid in general relativity: I. Schwarzschild spacetime. Zbl 0643.65089
Brandt, Achi; Lanza, Antonio
1988
Local mesh refinement multilevel techniques. Zbl 0619.65091
Bai, D.; Brandt, A.
1987
Algebraic multigrid theory: The symmetric case. Zbl 0616.65037
Brandt, Achi
1986
Multigrid method for nearly singular and slightly indefinite problems. Zbl 0605.65022
Brandt, A.; Ta&rsquo;asan, S.
1986
Multi-level approaches to discrete-state and stochastic problems. Zbl 0605.65002
Brandt, Achi; Ron, Dorit; Amit, Daniel J.
1986
Improved spectral multigrid methods for periodic elliptic problems. Zbl 0569.65084
Brandt, Achi; Fulton, Scott R.; Taylor, G. D.
1985
Multigrid solutions to quasi-elliptic schemes. Zbl 0599.76033
Brandt, Achi; Ta&rsquo;asan, Shlomo
1985
Multigrid techniques: 1984 guide with applications to fluid dynamics. Zbl 0581.76033
Brandt, Achi
1984
Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014
Brandt, A.; McCormick, S.; Ruge, J.
1984
Multigrid algorithms for the solution of linear complementarity problems arising from free boundary problems. Zbl 0542.65060
Brandt, Achi; Cryer, Colin W.
1983
Multigrid methods for differential eigenproblems. Zbl 0517.65083
Brandt, A.; McCormick, S.; Ruge, J.
1983
Vectorized multigrid Poisson solver for the CDC CYBER 205. Zbl 0526.65075
Barkai, D.; Brandt, A.
1983
Guide to multigrid development. Zbl 0505.65037
Brandt, Achi
1982
Multigrid solutions to steady-state compressible Navier-Stokes equations. I. Zbl 0599.76084
Brandt, Achi
1982
The multi-grid method for the diffusion equation with strongly discontinuous coefficients. Zbl 0474.76082
Alcouffe, R. E.; Brandt, Achi; Dendy, J. E. jun.; Painter, J. W.
1981
Multigrid solvers on parallel computers. Zbl 0473.65069
Brandt, Achi
1981
The multigrid method for semi-implicit hydrodynamics codes. Zbl 0421.76008
Brandt, Achi; Dendy, J. E. jun.; Ruppel, Hans
1980
Multilevel adaptive computations in fluid dynamics. Zbl 0474.76002
Brandt, Achi
1980
Multi-level adaptive finite-element methods. I. Variational problems. Zbl 0451.65051
Brandt, A.
1980
Stages in developing multigrid solutions. Zbl 0461.65076
Brandt, A.
1980
Multigrid solutions to elliptic flow problems. Zbl 0447.76020
Brandt, Achi; Dinar, Nathan
1979
Multi-level adaptive techniques (MLAT) for singular-perturbation problems. Zbl 0441.65074
Brandt, Achi
1979
Multi-level adaptive solutions to boundary-value problems. Zbl 0373.65054
Brandt, Achi
1977
Multi-level adaptive techniques (MLAT) for partial differential equations: Ideas and software. Zbl 0407.68037
Brandt, Achi
1977
Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems. Zbl 0259.76013
Brandt, Achi
1973
Generalized local maximum principles for finite-difference operators. Zbl 0281.65055
Brandt, Achi
1973
The assignment problem with three job categories. Zbl 0208.45702
Brandt, A.; Intrator, Y.
1971
Interior Schauder estimates for parabolic differential- (or difference-) equations via the maximum principle. Zbl 0184.32304
Brandt, A.
1969
Interior estimates for second-order elliptic differential (or finite- difference) equations via the maximum principle. Zbl 0177.37102
Brandt, A.
1969
Magnetohydrodynamic flow in the inlet region of a straight channel. Zbl 0139.22601
Brandt, A.; Gillis, J.
1966
Estimates for difference quotients of solutions of Poisson type difference equations. Zbl 0259.65091
Brandt, Achi
1966
Some theorems on statically determinate prestressed beams designed for minimum potential. Zbl 0107.41304
Brandt, A.
1962
A generalization of a combinatorial theorem of Sparre Andersen about sums of random variables. Zbl 0105.11703
Brandt, Achi
1961
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### Cited by 1,813 Authors

 35 Gaspar, Francisco José 29 Rodrigo, Carmen 26 Zhang, Jun 19 MacLachlan, Scott P. 18 Oosterlee, Cornelis Willebrordus 16 Manteuffel, Thomas A. 16 McCormick, Steve Fahrney 14 Borzì, Alfio 13 Brandt, Achi E. 13 Schroder, Jacob B. 13 Xu, Jinchao 12 Hu, Xiaozhe 12 Lisbona Cortés, Francisco Javier 11 Rüde, Ulrich 10 Falgout, Robert D. 10 Trynin, Aleksandr Yur’evich 10 Vassilevski, Panayot Spirov 9 Chen, Long 9 Heinrichs, Wilhelm 9 Notay, Yvan 9 Turkel, Eli L. 9 Vuik, Cornelis 9 Yavneh, Irad 8 Huang, Qiumei 8 Scheichl, Robert 8 Zikatanov, Ludmil T. 7 Bolten, Matthias 7 Griebel, Michael 7 He, Yunhui 7 Kahl, Karsten 7 Olson, Luke N. 7 Shapira, Yair 6 De Sterck, Hans 6 Hackbusch, Wolfgang 6 Jimack, Peter K. 6 Krause, Rolf H. 6 Pinto, Marcio Augusto Villela 6 Rubio, Gonzalo 6 Safro, Ilya 6 Shu, Shi 6 Tuminaro, Raymond S. 6 Vandewalle, Stefan G. 6 Vaněk, Petr 6 Vanroose, Wim 6 Xie, Hehu 6 Zhang, Chensong 5 Börm, Steffen 5 Brezina, Marian 5 Butt, Muhammad Munir 5 Chang, Qianshun 5 Chen, Ke 5 Cools, Siegfried 5 Diskin, Boris 5 Douglas, Craig C. 5 Fish, Jacob 5 Gratton, Serge 5 Hemker, Pieter W. 5 Liu, Jun 5 Mandel, Jan 5 Milewski, Slawomir 5 Moulton, J. David 5 Napov, Artem 5 Pasciak, Joseph E. 5 Sidilkover, David 5 Spitaleri, Rosa Maria 5 Toivanen, Jari 5 Valero, Eusebio 5 Vasseur, Xavier 5 Wang, Yin 5 Wohlmuth, Barbara I. 5 Xu, Xuejun 5 Ying, Lexing 4 Adams, Mark F. 4 Bramble, James H. 4 Calandra, Henri 4 Cyr, Eric C. 4 Dendy, Joel E. jun. 4 Donatelli, Marco 4 Ferrer, Esteban 4 Franceschini, Andrea 4 Fraysse, François 4 Gracia, José Luis 4 Gravouil, Anthony 4 Grigori, Laura 4 Hu, Guanghui 4 Huang, Jingfang 4 Keyes, David Elliot 4 Knoll, Dana A. 4 Kočvara, Michal 4 Kolev, Tzanio V. 4 Kraus, Johannes K. 4 Lebon, Frédéric 4 Li, Ruo 4 Luo, Peiyao 4 Ma, Hongkun 4 Meier Yang, Ulrike 4 Miranker, Willard Lee 4 Nabben, Reinhard 4 Nataf, Frédéric 4 Owhadi, Houman ...and 1,713 more Authors
all top 5

### Cited in 178 Serials

 188 Journal of Computational Physics 84 SIAM Journal on Scientific Computing 78 Applied Mathematics and Computation 60 Numerical Linear Algebra with Applications 59 Journal of Computational and Applied Mathematics 52 Computer Methods in Applied Mechanics and Engineering 51 Computers and Fluids 41 Applied Numerical Mathematics 37 Journal of Scientific Computing 36 Computers & Mathematics with Applications 27 Numerische Mathematik 25 International Journal for Numerical Methods in Fluids 20 Computing 19 Mathematics of Computation 19 BIT 18 Computing and Visualization in Science 16 International Journal for Numerical Methods in Engineering 15 International Journal of Computer Mathematics 15 Linear Algebra and its Applications 14 Computational Mechanics 11 Applied Mathematical Modelling 9 Mathematics and Computers in Simulation 9 SIAM Journal on Matrix Analysis and Applications 9 Numerical Algorithms 8 Multiscale Modeling & Simulation 7 Numerical Methods for Partial Differential Equations 7 Computational Optimization and Applications 7 Communications in Numerical Methods in Engineering 6 SIAM Review 6 Advances in Computational Mathematics 6 Computational Geosciences 5 SIAM Journal on Numerical Analysis 5 Computational Mathematics and Mathematical Physics 5 ETNA. Electronic Transactions on Numerical Analysis 5 Mathematical Problems in Engineering 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computer Physics Communications 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Applied Mathematics Letters 4 Pattern Recognition 4 Engineering Analysis with Boundary Elements 4 International Journal of Computational Fluid Dynamics 4 Archives of Computational Methods in Engineering 4 Advances in Applied Mathematics and Mechanics 3 Journal of Fluid Mechanics 3 Journal of Statistical Physics 3 Communications in Applied Numerical Methods 3 Journal of Global Optimization 3 Optimization Methods & Software 3 Journal of Numerical Mathematics 3 International Journal of Computational Methods 3 Acta Numerica 3 Communications in Computational Physics 3 SIAM Journal on Imaging Sciences 3 Science China. Mathematics 3 East Asian Journal on Applied Mathematics 3 SIAM Journal on Mathematics of Data Science 2 Communications on Pure and Applied Mathematics 2 Discrete Applied Mathematics 2 Journal of Engineering Mathematics 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Applied Mathematics and Optimization 2 Calcolo 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Computers & Operations Research 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 European Journal of Operational Research 2 Russian Mathematics 2 Applied and Computational Harmonic Analysis 2 International Journal of Computer Vision 2 Computational and Applied Mathematics 2 Applied Mathematical Finance 2 Engineering Computations 2 Computational Methods in Applied Mathematics 2 Journal of Discrete Algorithms 2 Advances in Difference Equations 2 Communications in Applied Mathematics and Computational Science 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 S$$\vec{\text{e}}$$MA Journal 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters B 1 Acta Mechanica 1 Applicable Analysis 1 Artificial Intelligence 1 Classical and Quantum Gravity 1 Discrete Mathematics 1 International Journal of Heat and Mass Transfer 1 Israel Journal of Mathematics 1 Wave Motion 1 The Annals of Statistics 1 Aplikace Matematiky 1 Information Sciences 1 Journal of Optimization Theory and Applications 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Theoretical Computer Science ...and 78 more Serials
all top 5

### Cited in 42 Fields

 982 Numerical analysis (65-XX) 394 Partial differential equations (35-XX) 348 Fluid mechanics (76-XX) 90 Mechanics of deformable solids (74-XX) 59 Computer science (68-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 47 Operations research, mathematical programming (90-XX) 27 Combinatorics (05-XX) 27 Optics, electromagnetic theory (78-XX) 26 Probability theory and stochastic processes (60-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 Classical thermodynamics, heat transfer (80-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Ordinary differential equations (34-XX) 18 Statistics (62-XX) 17 Biology and other natural sciences (92-XX) 14 Approximations and expansions (41-XX) 14 Geophysics (86-XX) 14 Information and communication theory, circuits (94-XX) 10 Integral equations (45-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Quantum theory (81-XX) 7 Systems theory; control (93-XX) 5 Potential theory (31-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Integral transforms, operational calculus (44-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

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