Achi Brandt
#27,991
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Israeli mathematician
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Achi Brandtmathematics Degrees
Mathematics
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#4722
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Applied Mathematics
#250
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#275
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Measure Theory
#1563
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#1940
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Mathematics
Achi Brandt's Degrees
- PhD Mathematics Weizmann Institute of Science
- Masters Mathematics Weizmann Institute of Science
Why Is Achi Brandt Influential?
(Suggest an Edit or Addition)According to Wikipedia, Achiezer Brandt is an Israeli mathematician, noted for his pioneering contributions to multigrid methods. Background Achi Brandt earned his Ph.D. degree at the Weizmann Institute of Science in 1965, under the supervision of Joseph Gillis, with a thesis on numerical methods in hydrodynamics and magnetohydrodynamics. He is a faculty member of the Weizmann Institute, and has taught at several universities in the United States, including the Courant Institute of Mathematical Sciences and Stanford University.
Achi Brandt's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration (2012) (544)
- Guide to multigrid development (1982) (518)
- Multilevel matrix multiplication and fast solution of integral equations (1990) (441)
- Algebraic multigrid theory: The symmetric case (1986) (438)
- The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients (1981) (370)
- Shape representation and classification using the Poisson equation (2004) (313)
- Fast multiscale image segmentation (2000) (307)
- Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, Revised Edition (2011) (304)
- Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration (2007) (294)
- Hierarchy and adaptivity in segmenting visual scenes (2006) (292)
- Multilevel computations of integral transforms and particle interactions with oscillatory kernels (1991) (257)
- Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems (1973) (243)
- Texture segmentation by multiscale aggregation of filter responses and shape elements (2003) (205)
- Multigrid Solutions to Elliptic Flow Problems (1979) (191)
- Lean Algebraic Multigrid (LAMG): Fast Graph Laplacian Linear Solver (2011) (180)
- Rigorous quantitative analysis of multigrid, I: constant coefficients two-level cycle with L 2 -norm (1994) (169)
- Local mesh refinement multilevel techniques (1987) (161)
- General highly accurate algebraic coarsening. (2000) (158)
- Multiscale Scientific Computation: Review 2001 (2002) (154)
- Segmentation and boundary detection using multiscale intensity measurements (2001) (144)
- Multilevel Adaptive Computations in Fluid Dynamics (1980) (138)
- Multigrid Algorithms for the Solution of Linear Complementarity Problems Arising from Free Boundary Problems (1983) (132)
- Accelerated Multigrid Convergence and High-Reynolds Recirculating Flows (1993) (127)
- WAVE-RAY MULTIGRID METHOD FOR STANDING WAVE EQUATIONS (1997) (123)
- Multigrid Methods for Differential Eigenproblems (1983) (120)
- On Multigrid Solution of High-Reynolds Incompressible Entering Flows* (1992) (119)
- Relaxation-based coarsening and multiscale graph organization (2010) (113)
- An efficient multigrid method for the simulation of high-resolution elastic solids (2010) (107)
- Multigrid Solvers and Multilevel Optimization Strategies (2003) (105)
- Bootstrap AMG (2011) (104)
- Completion energies and scale (1997) (96)
- Multigrid solvers on parallel computers (1981) (94)
- Fast multiscale clustering and manifold identification (2006) (93)
- Automatic Segmentation and Classification of Multiple Sclerosis in Multichannel MRI (2009) (85)
- Graph minimum linear arrangement by multilevel weighted edge contractions (2006) (82)
- Multi-Level Adaptive Techniques (MLAT) for Partial Differential Equations: Ideas and Software (1977) (77)
- A Fast and Accurate Multilevel Inversion of the Radon Transform (1999) (73)
- The multigrid method for semi-implicit hydrodynamics codes☆ (1980) (68)
- Inadequacy of first-order upwind difference schemes for some recirculating flows (1991) (60)
- Atlas Guided Identification of Brain Structures by Combining 3D Segmentation and SVM Classification (2006) (59)
- A global shallow‐water numerical model based on the semi‐lagrangian advection of potential vorticity (1995) (58)
- Multilevel algorithms for linear ordering problems (2009) (55)
- Application of a multi-level grid method to transonic flow calculations (1976) (55)
- Barriers to Achieving Textbook Multigrid Efficiency (TME) in CFD (1998) (51)
- Nonuniform polar grid algorithm for fast field evaluation (2002) (51)
- Textbook multigrid efficiency for fluid simulations (2003) (51)
- Multigrid methods in lattice field computations (1992) (50)
- On Recombining Iterants in Multigrid Algorithms and Problems with Small Islands (1995) (48)
- Fast Multigrid Solution of the Advection Problem with Closed Characteristics (1998) (48)
- Multigrid method for nearly singular and slightly indefinite problems (1986) (46)
- An Integrated Segmentation and Classification Approach Applied to Multiple Sclerosis Analysis (2006) (46)
- Magnetohydrodynamic flow in the inlet region of a straight channel. Final report. [Transverse magnetic field] (1966) (44)
- Prior Knowledge Driven Multiscale Segmentation of Brain MRI (2007) (44)
- Fast Calculation of Multiple Line Integrals (1999) (44)
- Multiscale Computational Methods in Chemistry and Physics (2000) (44)
- Multiscale Edge Detection and Fiber Enhancement Using Differences of Oriented Means (2007) (43)
- Multi-level approaches to discrete-state and stochastic problems (1986) (42)
- Multilevel Evaluation of Integral Transforms with Asymptotically Smooth Kernels (1998) (39)
- Accuracy Properties of the Wave-Ray Multigrid Algorithm for Helmholtz Equations (2006) (36)
- Efficient Multilevel Eigensolvers with Applications to Data Analysis Tasks (2010) (35)
- Multi-level adaptive computations in fluid dynamics (1979) (34)
- Optimal multigrid algorithms for calculating thermodynamic limits (1994) (34)
- Three-state Potts antiferromagnet on the triangular lattice (1995) (32)
- Vectorized multigrid poisson solver for the CDC cyber 205 (1983) (32)
- Textbook multigrid efficiency for the incompressible Navier-Stokes equations: High Reynolds number wakes and boundary layers (1999) (32)
- Interior schauder estimates for parabolic differential- (or difference-) equations via the maximum principle (1969) (32)
- Improved spectral multigrid methods for periodic elliptic problems (1985) (31)
- Parabolic Multigrid Revisited (1991) (30)
- Renormalization Multigrid (RMG): Statistically Optimal Renormalization Group Flow and Coarse-to-Fine Monte Carlo Acceleration (2001) (29)
- Multi-Level Adaptive Techniques (MLAT) for singular-perturbation problems (1978) (29)
- Distributed Relaxation Multigrid and Defect Correction Applied to the Compressible Navier-Stokes Equations (1999) (28)
- Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics (2010) (25)
- Interior estimates for second-order elliptic differential (or finite-difference) equations via the maximum principle (1969) (24)
- Multiscale solvers and systematic upscaling in computational physics (2005) (24)
- Multigrid solvers for the non-aligned sonic flow: the constant coefficient case (1999) (23)
- The fermionic matrix, instantons, zero modes and multigrid (1990) (23)
- A proposed adiabatic formulation of 3-dimensional global atmospheric models based on potential vorticity (2000) (23)
- Velocity Profiles of Flow at Low Reynolds Numbers (1970) (22)
- Numerical Solution to Steady-State Problems with Discontinuities (22)
- On Detection of Faint Edges in Noisy Images (2017) (21)
- Multilevel Evaluation of Integral Transforms on Adaptive Grids (1998) (20)
- Fermion simulations using parallel transported multigrid (1991) (20)
- The assignment problem with three job categories (1971) (20)
- Multilevel Monte Carlo methods for studying large scale phenomena in fluids (2003) (20)
- Geometry of intensive scalar dissipation events in turbulence. (2006) (19)
- Inverse Monte Carlo renormalization group transformations for critical phenomena. (2002) (19)
- General Highly Accurate Algebraic Coarsening Schemes (1999) (19)
- A Multilevel Algorithm for the Minimum 2-sum Problem (2006) (18)
- Multigrid Solvers for Nonaligned Sonic Flows (1999) (17)
- The Gauss center research in multiscale scientific computation. (1997) (16)
- Bootstrap Algebraic Multigrid: status report, open problems, and outlook (2014) (16)
- A Bootstrap Algebraic Multilevel Method for Markov Chains (2010) (16)
- Principles of Systematic Upscaling (2008) (15)
- Multigrid solution to steady-state two-dimensional conservation laws (1993) (15)
- Multigrid Narrow Band Surface Reconstruction via Level Set Functions (2012) (14)
- N Roots of the Secular Equation in O(N) Operations (2002) (14)
- Multiscale Algorithm for Atmospheric Data Assimilation (1997) (12)
- Textbook Multigrid Efficiency for Computational Fluid Dynamics Simulations (2001) (12)
- MuST: The Multilevel Sinc Transform (2011) (12)
- Local mode analysis of multicolor and composite relaxation schemes (2004) (11)
- Locally Refined Multigrid Solution of the All-Electron Kohn-Sham Equation. (2013) (11)
- Estimates for Difference Quotients of Solutions of Poisson Type Difference Equations (1966) (11)
- Algebraic distance for anisotropic diffusion problems: multilevel results (2014) (11)
- A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere (1999) (11)
- Methods of Systematic Upscaling (2006) (11)
- Generalized Local Maximum Principles for Finite-Difference Operators (1973) (10)
- Optimal multigrid algorithms for the massive Gaussian model and path integrals (1996) (9)
- Surprising convergence of the Monte Carlo renormalization group for the three-dimensional Ising model. (2017) (9)
- Optimal Multigrid Algorithms for Variable-Coupling Isotropic Gaussian Models (1997) (9)
- An algebraic distances measure of AMG strength of connection (2011) (8)
- Multigrid for Atmospheric Data Assimilation: Analysis (2003) (8)
- A Generalization of a Combinatorial Theorem of Sparre Andersen About Sums of Random Variables. (1961) (8)
- Fast Multilevel Clustering (2005) (8)
- Multigrid solutions to quasi-elliptic schemes (1985) (8)
- A Fast Multigrid Algorithm for Energy Minimization Under Planar Density Constraints (2009) (8)
- Parallel-transported multigrid and its application to the schwinger model (1991) (7)
- Multiscale Eigenbasis Calculations: N Eigenfunctions in O(N log N) (2002) (7)
- Multigrid in general relativity. I. Schwarzschild spacetime (1988) (7)
- Effective Boundary Treatment for the Biharmonic Dirichlet Problem (1996) (7)
- THE NUMERICAL INTEGRATION OF THE EQUATIONS OF MOTION OF A VISCOUS FLUID, PART 1. (1964) (7)
- Multilevel Methods for Fast Solution of N-Body and Hybrid Systems (1991) (7)
- Computer simulations at the fixed point using an inverse renormalization group transformation (2005) (6)
- Two multigrid algorithms for an inverse problem in Electrical Impedance Tomopraphy (2004) (5)
- Recent Advances in Achieving Textbook Multigrid Efficiency for Computational Fluid Dynamics Simulations (2002) (5)
- Fast algorithms for long transportation problems (1978) (5)
- GRIDPACK: Toward Unification of General Grid Programming. (1983) (5)
- Multilevel summation and Monte Carlo simulations (2006) (4)
- Multigrid Solution of an Elliptic Boundary-Value Problem with Integral Constraints (1999) (4)
- Multiscale computation: from fast solvers to systematic upscaling (2003) (4)
- Multiscale Algorithm for Atmospheric Data Assimilation Part I. Multiscale Iterative Process (1995) (4)
- SINGLE-PARTICLE THEORY OF FISSION. (1969) (4)
- Statistically Optimal Multigrid Algorithms for the Anharmonic Crystal Model (1997) (3)
- Fast Evaluation of Integral Transforms on adaptive grids (1996) (3)
- Multilevel Evaluation of Coulomb Lattice Sums of Charge Systems (2012) (3)
- The multigrid method: Fast relaxation (1976) (3)
- Multigrid analysis of scattering by large planar structures (2002) (2)
- A Domain Decomposition Approach for Calculating the Graph Corresponding to a Fibrous Geometry (2009) (2)
- General Framework for Achieving Textbook Multigrid Efficiency: One-dimensional Euler Example (2000) (2)
- Multi-level adaptive finite element methods. 1: Variation problems (1979) (1)
- Systematic Upscaling for Feynman Path Integrals A Progress Report (2005) (1)
- Multiscale Methods of Data Assimilation and Feedback Optimal Control (2005) (1)
- Remarks on the wave-ray multigrid solvers for Helmholtz equations (2003) (1)
- The surprising convergence of the Monte Carlo renormalization group for the d = 3 Ising Model (2018) (1)
- ASYMPTOTIC APPROACH TO HARTMANN-POISEUILLE FLOWS. (1969) (1)
- Mini-Workshop: Numerical Upscaling for Flow Problems: Theory and Applications (2009) (1)
- Statistics and Geometry in High-Schmidt Number Scalar Mixing (2007) (1)
- Automatic three-dimensional segmentation of MR images applied to the rat uterus (2006) (1)
- Mini-Workshop: Numerical Upscaling: Theory and Applications (2005) (1)
- 17. Cauchy-Riemann Equations (2011) (1)
- Multiscale Scientiic Computation: Six Year Research Summary Table of Content (1999) (1)
- Dynamic Monitoring of the Rat Uterus Using 3 D Automatic Segmentation (2005) (1)
- Multiscale Calculation of Many Eigenfunctions (2003) (1)
- 20. Compressible Navier-Stokes and Euler Equations (2011) (0)
- 6. Many-Level Cycles (2011) (0)
- Multigrid methods for solids simulation (2010) (0)
- Monte Carlo renormalization-group calculation for the d=3 Ising model using a modified transformation. (2020) (0)
- Multigrid Analysis of Scattering by Large Quasi-Planar Structures (2010) (0)
- Multilevel Monte Carlo methods for studying uidsunder gravity (2007) (0)
- 4. Interior Two-Level Cycles (2011) (0)
- Advanced Multigrid Solvers for Fluid Dynamics (1999) (0)
- Closure to “Discussion of ‘Velocity Profiles of Flow at Low Reynolds Numbers’” (1971, ASME J. Appl. Mech., 38, p. 571) (1971) (0)
- Fast Multilevel Algorithms for Linear Ordering Problems (0)
- Electronic Transactions on Numerical Analysis Volume 10, 2000 Contents (0)
- An O(n 2 Log N) Multilevel Backprojection Method (2008) (0)
- Electronic Transactions on Numerical Analysis Volume 6, 1997 Contents (1998) (0)
- ON OCTOPUS ARM AND MULTIGRID TECHNIQUES FOR NONLINEAR CONSTRAINED MINIMIZATION (2013) (0)
- 2. Stable Discretization (2011) (0)
- Multilevel Monte Carlo method for simulations of fluids (2003) (0)
- 3. Interior Relaxation and Smoothing Factors (2011) (0)
- 18. Steady-State Stokes Equations (2011) (0)
- 7. Full Multi-Grid (FMG) Algorithms (2011) (0)
- Multigrid Ef fi ciency for Computational Fluid Dynamics Simulations (2010) (0)
- 15. Chains of Problems. Frozen τ (2011) (0)
- 10. Higher-Order Techniques (2011) (0)
- 21. Remarks on Solvers for Transonic Potential Equations (2011) (0)
- 16. Time Dependent Problems (2011) (0)
- ICCV 2003 Author Index All authors of each paper are indexed, both by their surnames (ignoring prefixes like 'van', 'de') and by their first name if given. (2003) (0)
- 12. True Role of Relaxation (2011) (0)
- ACCURACY PROPERTIES OF THE MULTIGRID ALGORITHM FOR HELMHOLTZ EQUATIONS (0)
- ASYMPTOTOC APPROACH TO HARTMANN-POISEUILLE FLOWS. Final Report, Part 3 (1965) (0)
- 19. Steady-State Incompressible Navier-Stokes Equations (2011) (0)
- Multiscale Computational Methods in Molecular Simulations (2001) (0)
- DOMAIN DECOMPOSITION AND NON-UNIFORM POLAR / SPHERICAL GRID INTERPOLATION APPROACH TO FAST FIELD EVALUATION (2002) (0)
- Geometry of intensive scalar mixing events in turbulence (2006) (0)
- 5. Boundary Conditions and Two-Level Cycling (2011) (0)
- 14. Practical Role of Rigorous Analysis and Quantitative Predictions (2011) (0)
- Grid Adaptation and Parabolic Equations by Multigrid Techniques. (1987) (0)
- Multiscale Methods in Molecular Mechanics (1995) (0)
- 1. Elementary Acquaintance with Multigrid (2011) (0)
- c ○ 2011 Society for Industrial and Applied Mathematics BOOTSTRAP AMG ∗ (0)
- 9. Local Refinements and Grid Adaptation (2011) (0)
- NUMERICAL INTEGRATION OF THE EQUATIONS OF MOTION OF A VISCOUS FLUID. PART I. Final Report (1965) (0)
- 13. Dealgebraization of Multigrid (2011) (0)
- 11. Coarsening Guided by Discretization (2011) (0)
- Multigrid Methods for Turbulent Flow Problems (1991) (0)
- 8. Full Approximation Scheme (FAS) and Applications (2011) (0)
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