2009 - SIAM Fellow For multigrid theory and algorithms.
2005 - SIAM/ACM Prize in Computational Science and Engineering For pioneering modern multilevel methods, from multigrid solvers for Partial Differential Equations to multiscale techniques for statistical physics, and for influencing almost every aspect of contemporary computational science and engineering.
The scientist’s investigation covers issues in Multigrid method, Mathematical analysis, Applied mathematics, Discretization and Artificial intelligence. His Multigrid method research is multidisciplinary, incorporating elements of Boundary value problem, Elliptic partial differential equation, Fluid dynamics and Algorithm, Computation. His Boundary value problem research integrates issues from Multigrid convergence and Calculus.
His Partial differential equation and Radiation boundary conditions study in the realm of Mathematical analysis connects with subjects such as Then test. In Applied mathematics, Achi Brandt works on issues like Algebraic number, which are connected to Discrete mathematics, Convergence acceleration, Symmetric matrix and Relaxation. His biological study spans a wide range of topics, including Matrix multiplication, Kernel and Relaxation.
His scientific interests lie mostly in Multigrid method, Mathematical analysis, Applied mathematics, Discretization and Artificial intelligence. His Multigrid method research is under the purview of Partial differential equation. His work on Applied mathematics is being expanded to include thematically relevant topics such as Nonlinear system.
Achi Brandt interconnects Numerical analysis, Elliptic partial differential equation and System of linear equations in the investigation of issues within Discretization. His studies deal with areas such as Computer vision and Pattern recognition as well as Artificial intelligence. Achi Brandt has included themes like Geometry and Interpolation in his Algorithm study.
His primary scientific interests are in Multigrid method, Applied mathematics, Algorithm, Discretization and Mathematical optimization. His Multigrid method research is multidisciplinary, incorporating perspectives in Algebraic number, Computational science, Interpolation, Solver and Relaxation. In his research on the topic of Computational science, Mechanics and Bilinear interpolation is strongly related with Boundary value problem.
In his study, Fluid dynamics, Smoothing and Euler equations is inextricably linked to Transonic, which falls within the broad field of Applied mathematics. His Algorithm study integrates concerns from other disciplines, such as Multigrid solver, Real image and Level set. The various areas that he examines in his Discretization study include Finite difference method and Calculus.
The scientist’s investigation covers issues in Multigrid method, Algorithm, Applied mathematics, Computational science and Discretization. The study incorporates disciplines such as Interpolation, Solver, Mathematical optimization, Fluid dynamics and Relaxation in addition to Multigrid method. His Fluid dynamics study which covers Euler equations that intersects with Boundary value problem.
His Algorithm study combines topics from a wide range of disciplines, such as Multigrid solver, Point cloud, Level set, Level set function and Surface. Achi Brandt combines subjects such as Iterative method, Frame rate and Speedup with his study of Computational science. His biological study spans a wide range of topics, including Quadrilateral, Linear system, Laplace's equation, Calculus and Covariant transformation.
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Multi-level adaptive solutions to boundary-value problems
Achi Brandt.
Mathematics of Computation (1977)
Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, Revised Edition
Achi Brandt;Oren E. Livne.
(2011)
Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration
S. Alpert;M. Galun;A. Brandt;R. Basri.
IEEE Transactions on Pattern Analysis and Machine Intelligence (2012)
Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration
S. Alpert;M. Galun;R. Basri;A. Brandt.
computer vision and pattern recognition (2007)
Shape Representation and Classification Using the Poisson Equation
L. Gorelick;M. Galun;E. Sharon;R. Basri.
IEEE Transactions on Pattern Analysis and Machine Intelligence (2006)
Guide to multigrid development
Achi Brandt.
(1982)
Multilevel matrix multiplication and fast solution of integral equations
A. Brandt;A. A. Lubrecht.
Journal of Computational Physics (1990)
Algebraic multigrid theory: The symmetric case
Achi Brandt.
Applied Mathematics and Computation (1986)
Fast multiscale image segmentation
E. Sharon;A. Brandt;R. Basri.
computer vision and pattern recognition (2000)
The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
R. E. Alcouffe;Achi Brandt;J. E. Dendy;J. W. Painter.
Siam Journal on Scientific and Statistical Computing (1981)
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