H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 74 Citations 18,354 215 World Ranking 80 National Ranking 47

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

1996 - Wolf Prize in Mathematics for his profound and innovative contributions, in particular to electromagnetic, optical, and acoustic wave propagation and to fluid, solid, quantum and statistical mechanics.

1988 - US President's National Medal of Science "For his outstanding contribution to the geometrical theory of diffraction. This is a major extension of geometrical optics which succeeds, after many centuries, in adding the physics of diffraction to the simple ray concepts of optics and of other wave motions.", Presented by President Reagan in a White House ceremony on July 15, 1988.

1984 - Timoshenko Medal, The American Society of Mechanical Engineers

1983 - John von Neumann Lecturer

1981 - A.C. Eringen Medal

1973 - Member of the National Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Joseph B. Keller mostly deals with Mathematical analysis, Mechanics, Boundary value problem, Classical mechanics and Differential equation. His study in Neumann boundary condition, Poincaré–Steklov operator, Robin boundary condition, Mixed boundary condition and Wave equation is carried out as part of his Mathematical analysis studies. In his study, Free surface is inextricably linked to Surface tension, which falls within the broad field of Mechanics.

His biological study spans a wide range of topics, including Series expansion, Neutron, Eigenvalues and eigenvectors and Diffusion equation. His Classical mechanics research is multidisciplinary, incorporating perspectives in Axial symmetry and Mechanical wave. His Differential equation research incorporates elements of Partial differential equation and Nonlinear system.

His most cited work include:

  • Geometrical Theory of Diffraction (2457 citations)
  • Bubble Oscillations of Large Amplitude (758 citations)
  • The transverse force on a spinning sphere moving in a viscous fluid (747 citations)

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

The scientist’s investigation covers issues in Mathematical analysis, Mechanics, Classical mechanics, Optics and Geometry. Boundary value problem, Differential equation, Wave equation, Partial differential equation and Mixed boundary condition are the primary areas of interest in his Mathematical analysis study. His Surface tension research extends to the thematically linked field of Mechanics.

His work deals with themes such as Wave propagation, Geometrical optics and Nonlinear system, which intersect with Classical mechanics. His study in Diffraction, Reflection and Wavelength is done as part of Optics. His research on Diffraction frequently links to adjacent areas such as Field.

He most often published in these fields:

  • Mathematical analysis (29.33%)
  • Mechanics (18.75%)
  • Classical mechanics (18.75%)

What were the highlights of his more recent work (between 1994-2018)?

  • Mathematical analysis (29.33%)
  • Mechanics (18.75%)
  • Boundary value problem (8.89%)

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

His primary areas of investigation include Mathematical analysis, Mechanics, Boundary value problem, Classical mechanics and Optics. His study involves Mixed boundary condition, Neumann boundary condition, Partial differential equation, Asymptotic analysis and Differential equation, a branch of Mathematical analysis. He has included themes like Wetting, Plane and Radius in his Mechanics study.

His studies deal with areas such as Finite difference and Finite element method as well as Boundary value problem. His Classical mechanics research is multidisciplinary, incorporating elements of Reflection, Stokes flow, Axial symmetry and Plane wave. His Reflection study combines topics in areas such as Geometrical optics and Caustic.

Between 1994 and 2018, his most popular works were:

  • Transport equations for elastic and other waves in random media (445 citations)
  • On nonreflecting boundary conditions (248 citations)
  • Exact nonreflecting boundary conditions for the time dependent wave equation (208 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Mathematical analysis, Boundary value problem, Mixed boundary condition, Robin boundary condition and Optics are his primary areas of study. His Mathematical analysis study integrates concerns from other disciplines, such as Method of fundamental solutions, Wigner distribution function and Random media. His Boundary value problem research incorporates themes from Term and Mathematical economics.

His research in Mixed boundary condition tackles topics such as Neumann boundary condition which are related to areas like Singular boundary method, Free boundary problem, Isotropy and Wave equation. His study in Optics is interdisciplinary in nature, drawing from both Conservative vector field, Rectification and Bubble. The study incorporates disciplines such as Wave propagation and Mechanics in addition to Boussinesq approximation.

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.

Top Publications

Geometrical Theory of Diffraction

Joseph B. Keller.
Journal of the Optical Society of America (1962)

3912 Citations

The transverse force on a spinning sphere moving in a viscous fluid

S. I. Rubinow;Joseph B. Keller.
Journal of Fluid Mechanics (1961)

1132 Citations

Bubble Oscillations of Large Amplitude

Joseph B. Keller;Michael Miksis.
Journal of the Acoustical Society of America (1980)

1129 Citations

On solutions of δu=f(u)

J. B. Keller.
Communications on Pure and Applied Mathematics (1957)

817 Citations

Exact non-reflecting boundary conditions

Joseph B. Keller;Dan Givoli.
Journal of Computational Physics (1989)

810 Citations

Corrected bohr-sommerfeld quantum conditions for nonseparable systems

Joseph B. Keller.
Annals of Physics (1958)

797 Citations

Ocular dominance column development: analysis and simulation

Kenneth D. Miller;Joseph B. Keller;Michael P. Stryker.
Science (1989)

767 Citations

A Theorem on the Conductivity of a Composite Medium

Joseph B. Keller.
Journal of Mathematical Physics (1964)

599 Citations

Poroelasticity equations derived from microstructure

Robert Burridge;Joseph B. Keller.
Journal of the Acoustical Society of America (1981)

591 Citations

Diffraction by an Aperture

Joseph B. Keller.
Journal of Applied Physics (1957)

581 Citations

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

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