Edit Profile (opens in new tab) Brandt, Achi E. Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0373.65054Brandt, Achi 570 1977 Multigrid techniques: 1984 guide with applications to fluid dynamics. Zbl 0581.76033Brandt, Achi 99 1984 Algebraic multigrid theory: The symmetric case. Zbl 0616.65037Brandt, Achi 98 1986 The multi-grid method for the diffusion equation with strongly discontinuous coefficients. Zbl 0474.76082Alcouffe, R. E.; Brandt, Achi; Dendy, J. E. jun.; Painter, J. W. 95 1981 Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014Brandt, A.; McCormick, S.; Ruge, J. 92 1984 Rigorous quantitative analysis of multigrid. I: Constant coefficients two-level cycle with \(L_ 2\)-norm. Zbl 0817.65126Brandt, Achi 62 1994 Multigrid techniques. 1984 guide with applications to fluid dynamics. Revised ed. Zbl 1227.65121Brandt, Achi; Livne, Oren E. 52 2011 Guide to multigrid development. Zbl 0505.65037Brandt, Achi 43 1982 Wave-ray multigrid method for standing wave equations. Zbl 0891.65127Brandt, A.; Livshits, I. 42 1997 Local mesh refinement multilevel techniques. Zbl 0619.65091Bai, D.; Brandt, A. 36 1987 Accelerated multigrid convergence and high-Reynolds recirculating flows. Zbl 0770.76039Brandt, A.; Yavneh, I. 35 1993 Lean algebraic multigrid (LAMG): fast graph Laplacian linear solver. Zbl 1253.65045Livne, Oren E.; Brandt, Achi 35 2012 Multigrid algorithms for the solution of linear complementarity problems arising from free boundary problems. Zbl 0542.65060Brandt, Achi; Cryer, Colin W. 34 1983 Multilevel matrix multiplication and fast solution of integral equations. Zbl 0707.65025Brandt, A.; Lubrecht, A. A. 34 1990 General highly accurate algebraic coarsening. Zbl 0951.65096Brandt, Achi 33 2000 Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Zbl 0900.65121Brandt, Achi 30 1991 On multigrid solution of high-Reynolds incompressible entering flows. Zbl 0757.76033Brandt, A.; Yavneh, I. 29 1992 Multigrid methods for differential eigenproblems. Zbl 0517.65083Brandt, A.; McCormick, S.; Ruge, J. 27 1983 Bootstrap AMG. Zbl 1227.65120Brandt, A.; Brannick, J.; Kahl, K.; Livshits, I. 23 2011 Multigrid solutions to elliptic flow problems. Zbl 0447.76020Brandt, Achi; Dinar, Nathan 21 1979 Inadequacy of first-order upwind difference schemes for some recirculating flows. Zbl 0709.76079Brandt, A.; Yavneh, I. 20 1991 On recombining iterants in multigrid algorithms and problems with small islands. Zbl 0826.65022Brandt, A.; Mikulinsky, V. 16 1995 Interior Schauder estimates for parabolic differential- (or difference-) equations via the maximum principle. Zbl 0184.32304Brandt, A. 16 1969 Accuracy properties of the wave-ray multigrid algorithm for Helmholtz equations. Zbl 1119.65109Livshits, Irene; Brandt, Achi 16 2006 Improved spectral multigrid methods for periodic elliptic problems. Zbl 0569.65084Brandt, Achi; Fulton, Scott R.; Taylor, G. D. 15 1985 Graph minimum linear arrangement by multilevel weighted edge contractions. Zbl 1096.68687Safro, Ilya; Ron, Dorit; Brandt, Achi 15 2006 Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems. Zbl 0259.76013Brandt, Achi 12 1973 Multiscale scientific computation: Review 2001. Zbl 0989.65140Brandt, Achi 11 2002 Multigrid solvers and multilevel optimization strategies. Zbl 1046.65043Brandt, Achi; Ron, Dorit 11 2003 Interior estimates for second-order elliptic differential (or finite- difference) equations via the maximum principle. Zbl 0177.37102Brandt, A. 10 1969 MuST: the multilevel sinc transform. Zbl 1230.65146Livne, Oren E.; Brandt, Achi E. 10 2011 A robber locating strategy for trees. Zbl 1372.05138Brandt, A.; Diemunsch, J.; Erbes, C.; LeGrand, J.; Moffatt, C. 10 2017 Relaxation-based coarsening and multiscale graph organization. Zbl 1219.68125Ron, Dorit; Safro, Ilya; Brandt, Achi 9 2011 Parabolic multigrid revisited. Zbl 0737.65077Brandt, Achi; Greenwald, Joseph 9 1991 Multigrid solvers on decomposed domains. Zbl 0796.65137Brandt, Achi; Diskin, Boris 9 1994 Multi-level adaptive techniques (MLAT) for partial differential equations: Ideas and software. Zbl 0407.68037Brandt, Achi 9 1977 Magnetohydrodynamic flow in the inlet region of a straight channel. Zbl 0139.22601Brandt, A.; Gillis, J. 9 1966 Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira 9 2015 The assignment problem with three job categories. Zbl 0208.45702Brandt, A.; Intrator, Y. 8 1971 Textbook multigrid efficiency for fluid simulations. Zbl 1041.76060Thomas, James L.; Diskin, Boris; Brandt, Achi 8 2003 Vectorized multigrid Poisson solver for the CDC CYBER 205. Zbl 0526.65075Barkai, D.; Brandt, A. 8 1983 Fast multiscale clustering and manifold identification. Zbl 1096.68720Kushnir, Dan; Galun, Meirav; Brandt, Achi 8 2006 Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics. Zbl 1425.76297Adams, Mark F.; Samtaney, Ravi; Brandt, Achi 7 2010 The multigrid method for semi-implicit hydrodynamics codes. Zbl 0421.76008Brandt, Achi; Dendy, J. E. jun.; Ruppel, Hans 7 1980 Fast multigrid solution of the advection problem with closed characteristics. Zbl 0911.76051Yavneh, Irad; Venner, Cornelis H.; Brandt, Achi 7 1998 Multigrid method for nearly singular and slightly indefinite problems. Zbl 0605.65022Brandt, A.; Ta’asan, S. 7 1986 Multigrid solution to steady-state two-dimensional conservation laws. Zbl 0768.65060Sidilkover, David; Brandt, Achi 6 1993 Multi-level adaptive techniques (MLAT) for singular-perturbation problems. Zbl 0441.65074Brandt, Achi 6 1979 Multilevel adaptive computations in fluid dynamics. Zbl 0474.76002Brandt, Achi 6 1980 Optimal multigrid algorithms for calculating thermodynamic limits. Zbl 0946.65506Brandt, A.; Galun, M.; Ron, D. 6 1994 Textbook multigrid efficiency for the incompressible Navier-Stokes equations: High Reynolds number wakes and boundary layers. Zbl 0984.76063Thomas, James L.; Diskin, Boris; Brandt, Achi 6 2001 Local mode analysis of multicolor and composite relaxation schemes. Zbl 1054.65127Livne, O. E.; Brandt, A. 6 2004 Dipolar eddies in a stratified shear flow. Zbl 1184.76577Voropayev, S. I.; Smirnov, S. A.; Brandt, A. 4 2001 A generalization of a combinatorial theorem of Sparre Andersen about sums of random variables. Zbl 0105.11703Brandt, Achi 4 1961 Laboratory experiments on intrusive flows and internal waves in a pycnocline. Zbl 0969.76508Maderich, V. S.; van Heijst, G. J. F.; Brandt, A. 4 2001 A fast and accurate multilevel inversion of the Radon transform. Zbl 1013.92027Brandt, Achi; Mann, Jordan; Brodski, Matvei; Galun, Meirav 4 2000 Algebraic distance for anisotropic diffusion problems: multilevel results. Zbl 1327.65261Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Irene 4 2015 Multi-level adaptive finite-element methods. I. Variational problems. Zbl 0451.65051Brandt, A. 3 1980 Multigrid solvers on parallel computers. Zbl 0473.65069Brandt, Achi 3 1981 Three-state Potts antiferromagnet on the triangular lattice. Zbl 0868.60086Adler, J.; Brandt, A.; Janke, W.; Shmulyian, S. 3 1995 The Gauss center research in multiscale scientific computation. Zbl 0894.65001Brandt, Achi 3 1997 On stationary queue length distributions for G/M/s/r queues. Zbl 0673.60100Brandt, A. 3 1988 Generalized local maximum principles for finite-difference operators. Zbl 0281.65055Brandt, Achi 3 1973 Multigrid solutions to steady-state compressible Navier-Stokes equations. I. Zbl 0599.76084Brandt, Achi 3 1982 Multi-level approaches to discrete-state and stochastic problems. Zbl 0605.65002Brandt, Achi; Ron, Dorit; Amit, Daniel J. 3 1986 A multilevel algorithm for the minimum 2-sum problem. Zbl 1161.68698Safro, Ilya; Ron, Dorit; Brandt, Achi 2 2006 Multilevel computations: Review and recent developments. Zbl 0652.65074Brandt, Achi 2 1988 A bootstrap algebraic multilevel method for Markov chains. Zbl 1269.65033Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira 2 2011 Stages in developing multigrid solutions. Zbl 0461.65076Brandt, A. 2 1980 Fast calculation of multiple line integrals. Zbl 0927.65037Brandt, A.; Dym, J. 2 1999 Multigrid solvers for the non-aligned sonic flow: The constant coefficient case. Zbl 0970.76064Brandt, Achi; Diskin, Boris 2 1999 Multiscale eigenbasis calculations: \(N\) eigenfunctions in \(O(N\log N)\). Zbl 0989.65129Livne, Oren E.; Brandt, Achi 2 2002 Estimates for difference quotients of solutions of Poisson type difference equations. Zbl 0259.65091Brandt, Achi 2 1966 Principles of systematic upscaling. Zbl 1218.65142Brandt, Achi 1 2010 Some theorems on statically determinate prestressed beams designed for minimum potential. Zbl 0107.41304Brandt, A. 1 1962 Renormalization multigrid (RMG): Statistically optimal renormalization group flow and coarse-to-fine Monte Carlo acceleration. Zbl 1072.82527Brandt, Achi; Ron, Dorit 1 2001 Multigrid solvers for nonaligned sonic flows. Zbl 0955.76064Brandt, Achi; Diskin, Boris 1 1999 Multilevel algorithms for linear ordering problems. Zbl 1284.68685Safro, Ilya; Ron, Dorit; Brandt, Achi 1 2009 Multiscale algorithm for atmospheric data assimilation. Zbl 0873.65136Brandt, Achi; Zaslavsky, Leonid Yu. 1 1997 \(N\) roots of the secular equation in \(O(N)\) operations. Zbl 1017.65035Livne, Oren E.; Brandt, Achi 1 2002 Multilevel evaluation of integral transforms with asymptotically smooth kernels. Zbl 0913.65125Brandt, A.; Venner, C. H. 1 1998 A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow-water model on the sphere. Zbl 0970.76069Ruge, John W.; Li, Yong; McCormick, Steve; Brandt, Achi; Bates, J. R. 1 2000 Multigrid in general relativity: I. Schwarzschild spacetime. Zbl 0643.65089Brandt, Achi; Lanza, Antonio 1 1988 Multigrid solutions to quasi-elliptic schemes. Zbl 0599.76033Brandt, Achi; Ta’asan, Shlomo 1 1985 A robber locating strategy for trees. Zbl 1372.05138Brandt, A.; Diemunsch, J.; Erbes, C.; LeGrand, J.; Moffatt, C. 10 2017 Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira 9 2015 Algebraic distance for anisotropic diffusion problems: multilevel results. Zbl 1327.65261Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Irene 4 2015 Lean algebraic multigrid (LAMG): fast graph Laplacian linear solver. Zbl 1253.65045Livne, Oren E.; Brandt, Achi 35 2012 Multigrid techniques. 1984 guide with applications to fluid dynamics. Revised ed. Zbl 1227.65121Brandt, Achi; Livne, Oren E. 52 2011 Bootstrap AMG. Zbl 1227.65120Brandt, A.; Brannick, J.; Kahl, K.; Livshits, I. 23 2011 MuST: the multilevel sinc transform. Zbl 1230.65146Livne, Oren E.; Brandt, Achi E. 10 2011 Relaxation-based coarsening and multiscale graph organization. Zbl 1219.68125Ron, Dorit; Safro, Ilya; Brandt, Achi 9 2011 A bootstrap algebraic multilevel method for Markov chains. Zbl 1269.65033Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira 2 2011 Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics. Zbl 1425.76297Adams, Mark F.; Samtaney, Ravi; Brandt, Achi 7 2010 Principles of systematic upscaling. Zbl 1218.65142Brandt, Achi 1 2010 Multilevel algorithms for linear ordering problems. Zbl 1284.68685Safro, Ilya; Ron, Dorit; Brandt, Achi 1 2009 Accuracy properties of the wave-ray multigrid algorithm for Helmholtz equations. Zbl 1119.65109Livshits, Irene; Brandt, Achi 16 2006 Graph minimum linear arrangement by multilevel weighted edge contractions. Zbl 1096.68687Safro, Ilya; Ron, Dorit; Brandt, Achi 15 2006 Fast multiscale clustering and manifold identification. Zbl 1096.68720Kushnir, Dan; Galun, Meirav; Brandt, Achi 8 2006 A multilevel algorithm for the minimum 2-sum problem. Zbl 1161.68698Safro, Ilya; Ron, Dorit; Brandt, Achi 2 2006 Local mode analysis of multicolor and composite relaxation schemes. Zbl 1054.65127Livne, O. E.; Brandt, A. 6 2004 Multigrid solvers and multilevel optimization strategies. Zbl 1046.65043Brandt, Achi; Ron, Dorit 11 2003 Textbook multigrid efficiency for fluid simulations. Zbl 1041.76060Thomas, James L.; Diskin, Boris; Brandt, Achi 8 2003 Multiscale scientific computation: Review 2001. Zbl 0989.65140Brandt, Achi 11 2002 Multiscale eigenbasis calculations: \(N\) eigenfunctions in \(O(N\log N)\). Zbl 0989.65129Livne, Oren E.; Brandt, Achi 2 2002 \(N\) roots of the secular equation in \(O(N)\) operations. Zbl 1017.65035Livne, Oren E.; Brandt, Achi 1 2002 Textbook multigrid efficiency for the incompressible Navier-Stokes equations: High Reynolds number wakes and boundary layers. Zbl 0984.76063Thomas, James L.; Diskin, Boris; Brandt, Achi 6 2001 Dipolar eddies in a stratified shear flow. Zbl 1184.76577Voropayev, S. I.; Smirnov, S. A.; Brandt, A. 4 2001 Laboratory experiments on intrusive flows and internal waves in a pycnocline. Zbl 0969.76508Maderich, V. S.; van Heijst, G. J. F.; Brandt, A. 4 2001 Renormalization multigrid (RMG): Statistically optimal renormalization group flow and coarse-to-fine Monte Carlo acceleration. Zbl 1072.82527Brandt, Achi; Ron, Dorit 1 2001 General highly accurate algebraic coarsening. Zbl 0951.65096Brandt, Achi 33 2000 A fast and accurate multilevel inversion of the Radon transform. Zbl 1013.92027Brandt, Achi; Mann, Jordan; Brodski, Matvei; Galun, Meirav 4 2000 A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow-water model on the sphere. Zbl 0970.76069Ruge, John W.; Li, Yong; McCormick, Steve; Brandt, Achi; Bates, J. R. 1 2000 Fast calculation of multiple line integrals. Zbl 0927.65037Brandt, A.; Dym, J. 2 1999 Multigrid solvers for the non-aligned sonic flow: The constant coefficient case. Zbl 0970.76064Brandt, Achi; Diskin, Boris 2 1999 Multigrid solvers for nonaligned sonic flows. Zbl 0955.76064Brandt, Achi; Diskin, Boris 1 1999 Fast multigrid solution of the advection problem with closed characteristics. Zbl 0911.76051Yavneh, Irad; Venner, Cornelis H.; Brandt, Achi 7 1998 Multilevel evaluation of integral transforms with asymptotically smooth kernels. Zbl 0913.65125Brandt, A.; Venner, C. H. 1 1998 Wave-ray multigrid method for standing wave equations. Zbl 0891.65127Brandt, A.; Livshits, I. 42 1997 The Gauss center research in multiscale scientific computation. Zbl 0894.65001Brandt, Achi 3 1997 Multiscale algorithm for atmospheric data assimilation. Zbl 0873.65136Brandt, Achi; Zaslavsky, Leonid Yu. 1 1997 On recombining iterants in multigrid algorithms and problems with small islands. Zbl 0826.65022Brandt, A.; Mikulinsky, V. 16 1995 Three-state Potts antiferromagnet on the triangular lattice. Zbl 0868.60086Adler, J.; Brandt, A.; Janke, W.; Shmulyian, S. 3 1995 Rigorous quantitative analysis of multigrid. I: Constant coefficients two-level cycle with \(L_ 2\)-norm. Zbl 0817.65126Brandt, Achi 62 1994 Multigrid solvers on decomposed domains. Zbl 0796.65137Brandt, Achi; Diskin, Boris 9 1994 Optimal multigrid algorithms for calculating thermodynamic limits. Zbl 0946.65506Brandt, A.; Galun, M.; Ron, D. 6 1994 Accelerated multigrid convergence and high-Reynolds recirculating flows. Zbl 0770.76039Brandt, A.; Yavneh, I. 35 1993 Multigrid solution to steady-state two-dimensional conservation laws. Zbl 0768.65060Sidilkover, David; Brandt, Achi 6 1993 On multigrid solution of high-Reynolds incompressible entering flows. Zbl 0757.76033Brandt, A.; Yavneh, I. 29 1992 Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Zbl 0900.65121Brandt, Achi 30 1991 Inadequacy of first-order upwind difference schemes for some recirculating flows. Zbl 0709.76079Brandt, A.; Yavneh, I. 20 1991 Parabolic multigrid revisited. Zbl 0737.65077Brandt, Achi; Greenwald, Joseph 9 1991 Multilevel matrix multiplication and fast solution of integral equations. Zbl 0707.65025Brandt, A.; Lubrecht, A. A. 34 1990 On stationary queue length distributions for G/M/s/r queues. Zbl 0673.60100Brandt, A. 3 1988 Multilevel computations: Review and recent developments. Zbl 0652.65074Brandt, Achi 2 1988 Multigrid in general relativity: I. Schwarzschild spacetime. Zbl 0643.65089Brandt, Achi; Lanza, Antonio 1 1988 Local mesh refinement multilevel techniques. Zbl 0619.65091Bai, D.; Brandt, A. 36 1987 Algebraic multigrid theory: The symmetric case. Zbl 0616.65037Brandt, Achi 98 1986 Multigrid method for nearly singular and slightly indefinite problems. Zbl 0605.65022Brandt, A.; Ta’asan, S. 7 1986 Multi-level approaches to discrete-state and stochastic problems. Zbl 0605.65002Brandt, Achi; Ron, Dorit; Amit, Daniel J. 3 1986 Improved spectral multigrid methods for periodic elliptic problems. Zbl 0569.65084Brandt, Achi; Fulton, Scott R.; Taylor, G. D. 15 1985 Multigrid solutions to quasi-elliptic schemes. Zbl 0599.76033Brandt, Achi; Ta’asan, Shlomo 1 1985 Multigrid techniques: 1984 guide with applications to fluid dynamics. Zbl 0581.76033Brandt, Achi 99 1984 Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014Brandt, A.; McCormick, S.; Ruge, J. 92 1984 Multigrid algorithms for the solution of linear complementarity problems arising from free boundary problems. Zbl 0542.65060Brandt, Achi; Cryer, Colin W. 34 1983 Multigrid methods for differential eigenproblems. Zbl 0517.65083Brandt, A.; McCormick, S.; Ruge, J. 27 1983 Vectorized multigrid Poisson solver for the CDC CYBER 205. Zbl 0526.65075Barkai, D.; Brandt, A. 8 1983 Guide to multigrid development. Zbl 0505.65037Brandt, Achi 43 1982 Multigrid solutions to steady-state compressible Navier-Stokes equations. I. Zbl 0599.76084Brandt, Achi 3 1982 The multi-grid method for the diffusion equation with strongly discontinuous coefficients. Zbl 0474.76082Alcouffe, R. E.; Brandt, Achi; Dendy, J. E. jun.; Painter, J. W. 95 1981 Multigrid solvers on parallel computers. Zbl 0473.65069Brandt, Achi 3 1981 The multigrid method for semi-implicit hydrodynamics codes. Zbl 0421.76008Brandt, Achi; Dendy, J. E. jun.; Ruppel, Hans 7 1980 Multilevel adaptive computations in fluid dynamics. Zbl 0474.76002Brandt, Achi 6 1980 Multi-level adaptive finite-element methods. I. Variational problems. Zbl 0451.65051Brandt, A. 3 1980 Stages in developing multigrid solutions. Zbl 0461.65076Brandt, A. 2 1980 Multigrid solutions to elliptic flow problems. Zbl 0447.76020Brandt, Achi; Dinar, Nathan 21 1979 Multi-level adaptive techniques (MLAT) for singular-perturbation problems. Zbl 0441.65074Brandt, Achi 6 1979 Multi-level adaptive solutions to boundary-value problems. Zbl 0373.65054Brandt, Achi 570 1977 Multi-level adaptive techniques (MLAT) for partial differential equations: Ideas and software. Zbl 0407.68037Brandt, Achi 9 1977 Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems. Zbl 0259.76013Brandt, Achi 12 1973 Generalized local maximum principles for finite-difference operators. Zbl 0281.65055Brandt, Achi 3 1973 The assignment problem with three job categories. Zbl 0208.45702Brandt, A.; Intrator, Y. 8 1971 Interior Schauder estimates for parabolic differential- (or difference-) equations via the maximum principle. Zbl 0184.32304Brandt, A. 16 1969 Interior estimates for second-order elliptic differential (or finite- difference) equations via the maximum principle. Zbl 0177.37102Brandt, A. 10 1969 Magnetohydrodynamic flow in the inlet region of a straight channel. Zbl 0139.22601Brandt, A.; Gillis, J. 9 1966 Estimates for difference quotients of solutions of Poisson type difference equations. Zbl 0259.65091Brandt, Achi 2 1966 Some theorems on statically determinate prestressed beams designed for minimum potential. Zbl 0107.41304Brandt, A. 1 1962 A generalization of a combinatorial theorem of Sparre Andersen about sums of random variables. Zbl 0105.11703Brandt, Achi 4 1961 all cited Publications top 5 cited Publications all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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