D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 51 Citations 15,391 157 World Ranking 725 National Ranking 11
Engineering and Technology D-index 54 Citations 16,338 153 World Ranking 1562 National Ranking 8

Research.com Recognitions

Awards & Achievements

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.

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

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 most cited work include:

  • Multi-level adaptive solutions to boundary-value problems (2737 citations)
  • Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration (430 citations)
  • Guide to multigrid development (365 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Multigrid method (51.34%)
  • Mathematical analysis (20.86%)
  • Applied mathematics (20.32%)

What were the highlights of his more recent work (between 2008-2020)?

  • Multigrid method (51.34%)
  • Applied mathematics (20.32%)
  • Algorithm (13.37%)

In recent papers he was focusing on the following fields of 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.

Between 2008 and 2020, his most popular works were:

  • Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration (261 citations)
  • Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics (145 citations)
  • Lean Algebraic Multigrid (LAMG): Fast Graph Laplacian Linear Solver (132 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Multi-level adaptive solutions to boundary-value problems

Achi Brandt.
Mathematics of Computation (1977)

4637 Citations

Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, Revised Edition

Achi Brandt;Oren E. Livne.
(2011)

1127 Citations

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)

933 Citations

Image Segmentation by Probabilistic Bottom-Up Aggregation and Cue Integration

S. Alpert;M. Galun;R. Basri;A. Brandt.
computer vision and pattern recognition (2007)

678 Citations

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)

655 Citations

Guide to multigrid development

Achi Brandt.
(1982)

578 Citations

Multilevel matrix multiplication and fast solution of integral equations

A. Brandt;A. A. Lubrecht.
Journal of Computational Physics (1990)

572 Citations

Algebraic multigrid theory: The symmetric case

Achi Brandt.
Applied Mathematics and Computation (1986)

499 Citations

Fast multiscale image segmentation

E. Sharon;A. Brandt;R. Basri.
computer vision and pattern recognition (2000)

405 Citations

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)

391 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Achi Brandt

Cornelis W. Oosterlee

Cornelis W. Oosterlee

Utrecht University

Publications: 49

Ulrich Rüde

Ulrich Rüde

University of Erlangen-Nuremberg

Publications: 39

Thomas A. Manteuffel

Thomas A. Manteuffel

University of Colorado Boulder

Publications: 37

Jinchao Xu

Jinchao Xu

Pennsylvania State University

Publications: 36

Jun Zhang

Jun Zhang

University of Kentucky

Publications: 34

Weng Cho Chew

Weng Cho Chew

Purdue University West Lafayette

Publications: 31

Antony Jameson

Antony Jameson

Texas A&M University

Publications: 31

Stephen F. McCormick

Stephen F. McCormick

University of Colorado Boulder

Publications: 26

Panayot S. Vassilevski

Panayot S. Vassilevski

Portland State University

Publications: 26

Tony F. Chan

Tony F. Chan

King Abdullah University of Science and Technology

Publications: 22

Michael Griebel

Michael Griebel

University of Bonn

Publications: 22

Yoram Bresler

Yoram Bresler

University of Illinois at Urbana-Champaign

Publications: 21

Ronen Basri

Ronen Basri

Weizmann Institute of Science

Publications: 20

Cornelis H. Venner

Cornelis H. Venner

University of Twente

Publications: 20

Raymond S. Tuminaro

Raymond S. Tuminaro

Sandia National Laboratories

Publications: 19

Barbara Wohlmuth

Barbara Wohlmuth

Technical University of Munich

Publications: 18

Trending Scientists

Karu P. Esselle

Karu P. Esselle

University of Technology Sydney

Yoshio Umezawa

Yoshio Umezawa

University of Tokyo

Barbara U. Metzler-Zebeli

Barbara U. Metzler-Zebeli

University of Veterinary Medicine Vienna

Jack R. Harlan

Jack R. Harlan

University of Illinois at Urbana-Champaign

William D. Donachie

William D. Donachie

University of Edinburgh

Mathieu Bollen

Mathieu Bollen

KU Leuven

Xi Jiang

Xi Jiang

Eastern Virginia Medical School

Jonathan M. Bull

Jonathan M. Bull

National Oceanography Centre

Gilbert Féraud

Gilbert Féraud

Université Côte d'Azur

Anders Levermann

Anders Levermann

Potsdam Institute for Climate Impact Research

David Wofsy

David Wofsy

University of California, San Francisco

Bert Steenbergen

Bert Steenbergen

Radboud University Nijmegen

Eva H. Telzer

Eva H. Telzer

University of North Carolina at Chapel Hill

Russell H. Fazio

Russell H. Fazio

The Ohio State University

Ramon Diaz-Arrastia

Ramon Diaz-Arrastia

University of Pennsylvania

Paul T. P. Ho

Paul T. P. Ho

Institute of Astronomy and Astrophysics, Academia Sinica

Something went wrong. Please try again later.