H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 46 Citations 16,988 110 World Ranking 731 National Ranking 366

Research.com Recognitions

Awards & Achievements

2008 - John von Neumann Lecturer

2007 - Member of the National Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Partial differential equation
  • Numerical analysis

David Gottlieb mainly focuses on Mathematical analysis, Spectral method, Numerical analysis, Boundary value problem and Applied mathematics. David Gottlieb regularly links together related areas like Penalty method in his Mathematical analysis studies. His studies deal with areas such as Geometry and topology, Legendre polynomials, Collocation method, Pseudo-spectral method and Information retrieval as well as Spectral method.

The various areas that David Gottlieb examines in his Legendre polynomials study include Transform theory and Chebyshev pseudospectral method. His work focuses on many connections between Boundary value problem and other disciplines, such as Initial value problem, that overlap with his field of interest in Mixed boundary condition. His Applied mathematics research is multidisciplinary, incorporating perspectives in Mathematical optimization and Series.

His most cited work include:

  • Numerical analysis of spectral methods : theory and applications (2809 citations)
  • Numerical analysis of spectral methods (771 citations)
  • SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS. (605 citations)

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

His primary areas of investigation include Mathematical analysis, Spectral method, Boundary value problem, Applied mathematics and Partial differential equation. As a part of the same scientific family, David Gottlieb mostly works in the field of Mathematical analysis, focusing on Eigenvalues and eigenvectors and, on occasion, Finite difference. His Spectral method study combines topics in areas such as Geometry and topology, Legendre polynomials, Galerkin method and Fourier analysis, Pseudo-spectral method.

David Gottlieb interconnects Initial value problem, Compressible flow, Finite difference method and Boundary in the investigation of issues within Boundary value problem. David Gottlieb has researched Applied mathematics in several fields, including Mathematical optimization and Approximation theory. His studies in Partial differential equation integrate themes in fields like Discretization and Differential equation.

He most often published in these fields:

  • Mathematical analysis (68.75%)
  • Spectral method (35.62%)
  • Boundary value problem (25.00%)

What were the highlights of his more recent work (between 2006-2017)?

  • Mathematical analysis (68.75%)
  • Spectral method (35.62%)
  • Applied mathematics (18.13%)

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

David Gottlieb focuses on Mathematical analysis, Spectral method, Applied mathematics, Geometry and topology and Hyperbolic partial differential equation. In his articles, David Gottlieb combines various disciplines, including Mathematical analysis and Interface. His study in Spectral method is interdisciplinary in nature, drawing from both Algorithm, Fast Fourier transform, Polynomial and Computational physics.

His Applied mathematics study incorporates themes from Hahn polynomials, Finite difference method, Mathematics education, Mathematical optimization and Series. His Geometry and topology research integrates issues from Speech recognition, Information retrieval and Gibbs phenomenon. His work carried out in the field of Hyperbolic partial differential equation brings together such families of science as Wave equation and Galerkin method.

Between 2006 and 2017, his most popular works were:

  • SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS. (605 citations)
  • CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS (453 citations)
  • Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes (116 citations)

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

  • Mathematical analysis
  • Partial differential equation
  • Algebra

His primary areas of study are Applied mathematics, Mathematical analysis, Spectral method, Finite element method and Discretization. David Gottlieb combines subjects such as Mathematics education, Mathematical optimization, Series and Domain with his study of Applied mathematics. His study in the field of Wave equation also crosses realms of Polynomial chaos.

His Spectral method research incorporates themes from Geometry and topology, Computational physics, Speech recognition, Fourier transform and Information retrieval. The Finite element method study combines topics in areas such as Legendre polynomials, Finite difference, Linear equation, Pointwise and Summation by parts. He works mostly in the field of Discretization, limiting it down to topics relating to Ode and, in certain cases, Hyperbolic partial differential equation, as a part of the same area of interest.

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

Numerical analysis of spectral methods : theory and applications

David Gottlieb;Steven A. Orszag.
(1977)

4804 Citations

Numerical analysis of spectral methods

David Gottlieb;Steven A Orszag.
(1977)

1228 Citations

SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS.

Jan S. Hesthaven;Sigal Gottlieb;David Gottlieb.
(2007)

1060 Citations

On the Gibbs Phenomenon and Its Resolution

David Gottlieb;Chi-Wang Shu.
Siam Review (1997)

749 Citations

CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS

D. Gottlieb;S. A. Orszag;Peter J. Huber;Fred S. Roberts.
(2011)

703 Citations

Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes

Mark H. Carpenter;David Gottlieb;Saul Abarbanel.
Journal of Computational Physics (1994)

702 Citations

The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

Mark H. Carpenter;David Gottlieb;Saul Abarbanel.
Journal of Computational Physics (1993)

487 Citations

A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy

Mark H Carpenter;Jan Nordström;David Gottlieb.
Journal of Computational Physics (1999)

477 Citations

Numerical Analysis of Spectral Methods: Theory and Application (CBMS-NSF Regional Conference Series in Applied Mathematics)

David Gottlieb;Steven A. Orszag;G. A. Sod.
Journal of Applied Mechanics (1978)

440 Citations

Spectral methods for hyperbolic problems

D. Gottlieb;J. S. Hesthaven.
Journal of Computational and Applied Mathematics (2001)

357 Citations

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