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- Joseph B. Keller

Mathematics

USA

2023

Mechanical and Aerospace Engineering

USA

2023

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

Mechanical and Aerospace Engineering
D-index
74
Citations
21,230
254
World Ranking
137
National Ranking
76

Mathematics
D-index
84
Citations
26,959
317
World Ranking
70
National Ranking
42

2023 - Research.com Mathematics in United States Leader Award

2023 - Research.com Mechanical and Aerospace Engineering in United States Leader Award

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

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

Geometrical Theory of Diffraction

Joseph B. Keller.

Journal of the Optical Society of America **(1962)**

4222 Citations

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

S. I. Rubinow;Joseph B. Keller.

Journal of Fluid Mechanics **(1961)**

1282 Citations

Bubble Oscillations of Large Amplitude

Joseph B. Keller;Michael Miksis.

Journal of the Acoustical Society of America **(1979)**

1277 Citations

Exact non-reflecting boundary conditions

Joseph B. Keller;Dan Givoli.

Journal of Computational Physics **(1989)**

871 Citations

On solutions of δu=f(u)

J. B. Keller.

Communications on Pure and Applied Mathematics **(1957)**

868 Citations

Ocular dominance column development: analysis and simulation

Kenneth D. Miller;Joseph B. Keller;Michael P. Stryker.

Science **(1989)**

835 Citations

Corrected bohr-sommerfeld quantum conditions for nonseparable systems

Joseph B. Keller.

Annals of Physics **(1958)**

797 Citations

Poroelasticity equations derived from microstructure

Robert Burridge;Joseph B. Keller.

Journal of the Acoustical Society of America **(1981)**

655 Citations

A Theorem on the Conductivity of a Composite Medium

Joseph B. Keller.

Journal of Mathematical Physics **(1964)**

630 Citations

Transport equations for elastic and other waves in random media

Leonid Ryzhik;George Papanicolaou;Joseph B. Keller.

Wave Motion **(1996)**

620 Citations

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