D-Index & Metrics Best Publications

D-Index & Metrics

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 64 Citations 38,475 209 World Ranking 191 National Ranking 104
Engineering and Technology D-index 67 Citations 37,043 244 World Ranking 366 National Ranking 164

Research.com Recognitions

Awards & Achievements

2010 - Fellow of the American Association for the Advancement of Science (AAAS)

2010 - SIAM Fellow For contributions in numerical linear algebra and its applications.

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Eigenvalues and eigenvectors
  • Mathematical analysis

His main research concerns Algorithm, Applied mathematics, Eigenvalues and eigenvectors, Iterative method and Mathematical analysis. He combines subjects such as Projection, Linear system, Factorization, Linear algebra and Robustness with his study of Algorithm. The study incorporates disciplines such as Fixed point, Fixed-point iteration, Combinatorics, Acceleration and Field in addition to Applied mathematics.

His study in Krylov subspace and Generalized minimal residual method are all subfields of Iterative method. His Krylov subspace study combines topics from a wide range of disciplines, such as Power iteration, Linear subspace and Relaxation. His work on Preconditioner as part of general Mathematical optimization research is frequently linked to Block, bridging the gap between disciplines.

His most cited work include:

  • Iterative Methods for Sparse Linear Systems (8904 citations)
  • Numerical Methods for Large Eigenvalue Problems (1475 citations)
  • Finite-difference-pseudopotential method: Electronic structure calculations without a basis. (564 citations)

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

Yousef Saad mainly investigates Applied mathematics, Algorithm, Eigenvalues and eigenvectors, Linear system and Matrix. His Applied mathematics study combines topics in areas such as Krylov subspace, Mathematical analysis, Mathematical optimization, Generalized minimal residual method and Lanczos resampling. His work carried out in the field of Algorithm brings together such families of science as Factorization, Sparse matrix and Robustness.

His work in Eigenvalues and eigenvectors tackles topics such as Nonlinear system which are related to areas like Chebyshev filter. His Linear system research includes elements of Iterative method, Algebra, Solver and Schur complement. Yousef Saad interconnects Incomplete LU factorization and Domain decomposition methods in the investigation of issues within Preconditioner.

He most often published in these fields:

  • Applied mathematics (29.56%)
  • Algorithm (23.48%)
  • Eigenvalues and eigenvectors (22.93%)

What were the highlights of his more recent work (between 2013-2021)?

  • Applied mathematics (29.56%)
  • Eigenvalues and eigenvectors (22.93%)
  • Matrix (16.30%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Applied mathematics, Eigenvalues and eigenvectors, Matrix, Lanczos resampling and Algorithm. His Applied mathematics research incorporates elements of Domain decomposition methods, Lanczos algorithm, Mathematical optimization, Methods of contour integration and Nonlinear system. He has researched Eigenvalues and eigenvectors in several fields, including Hermitian matrix, Interval, Polynomial, Chebyshev polynomials and Spectrum.

His Matrix study also includes

  • Rank that intertwine with fields like Preconditioner,
  • Discrete mathematics that connect with fields like Random matrix. His Algorithm study incorporates themes from Dimension, Subspace topology and Theoretical computer science. His studies link Generalized minimal residual method with Krylov subspace.

Between 2013 and 2021, his most popular works were:

  • Approximating Spectral Densities of Large Matrices (100 citations)
  • Fast Estimation of $tr(f(A))$ via Stochastic Lanczos Quadrature (93 citations)
  • Efficient estimation of eigenvalue counts in an interval (63 citations)

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

  • Quantum mechanics
  • Eigenvalues and eigenvectors
  • Mathematical analysis

Yousef Saad spends much of his time researching Applied mathematics, Eigenvalues and eigenvectors, Matrix, Lanczos resampling and Algorithm. His biological study spans a wide range of topics, including Positive-definite matrix, Krylov subspace, Domain decomposition methods, Gaussian process and Symmetric matrix. His studies deal with areas such as Inverse and Preconditioner as well as Domain decomposition methods.

The Eigenvalues and eigenvectors study combines topics in areas such as Measure, Polynomial, Mathematical optimization and Interval. His biological study focuses on Iterative method. His Algorithm research includes themes of Factorization, Representation and Linear system.

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

Iterative Methods for Sparse Linear Systems

Y. Saad.
(1996)

18110 Citations

Numerical Methods for Large Eigenvalue Problems

Y Saad.
(1992)

2270 Citations

Finite-difference-pseudopotential method: Electronic structure calculations without a basis.

James R. Chelikowsky;N. Troullier;Yousef Saad.
Physical Review Letters (1994)

970 Citations

Numerical Methods for Large Eigenvalue Problems: Revised Edition

Yousef Saad.
(2011)

938 Citations

ILUT: A dual threshold incomplete LU factorization

Yousef Saad.
Numerical Linear Algebra With Applications (1994)

892 Citations

Iterative solution of linear systems in the 20th century

Yousef Saad;Henk A. van der Vorst.
Journal of Computational and Applied Mathematics (2000)

641 Citations

Higher-order finite-difference pseudopotential method: An application to diatomic molecules

James R. Chelikowsky;N. Troullier;K. Wu;Yousef Saad.
Physical Review B (1994)

581 Citations

Efficient solution of parabolic equations by Krylov approximation methods

Efstratios Gallopoulos;Yousef Saad.
Siam Journal on Scientific and Statistical Computing (1992)

408 Citations

Approximate Inverse Preconditioners via Sparse-Sparse Iterations

Edmond Chow;Yousef Saad.
SIAM Journal on Scientific Computing (1998)

349 Citations

GPU-accelerated preconditioned iterative linear solvers

Ruipeng Li;Yousef Saad.
The Journal of Supercomputing (2013)

334 Citations

Best Scientists Citing Yousef Saad

Tayfun E. Tezduyar

Tayfun E. Tezduyar

Rice University

Publications: 113

Jack Dongarra

Jack Dongarra

University of Tennessee at Knoxville

Publications: 101

Cornelis Vuik

Cornelis Vuik

Delft University of Technology

Publications: 98

James R. Chelikowsky

James R. Chelikowsky

The University of Texas at Austin

Publications: 90

Lothar Reichel

Lothar Reichel

Kent State University

Publications: 84

Ting-Zhu Huang

Ting-Zhu Huang

University of Electronic Science and Technology of China

Publications: 79

Jacob K. White

Jacob K. White

MIT

Publications: 78

Valeria Simoncini

Valeria Simoncini

University of Bologna

Publications: 77

Michele Benzi

Michele Benzi

Scuola Normale Superiore di Pisa

Publications: 66

David W. Zingg

David W. Zingg

University of Toronto

Publications: 65

David E. Keyes

David E. Keyes

King Abdullah University of Science and Technology

Publications: 64

Jun Zhang

Jun Zhang

University of Kentucky

Publications: 58

Sanjay Mittal

Sanjay Mittal

Indian Institute of Technology Kanpur

Publications: 51

Andrew J. Wathen

Andrew J. Wathen

University of Oxford

Publications: 48

Kenji Takizawa

Kenji Takizawa

Waseda University

Publications: 44

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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