H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 108 Citations 52,541 385 World Ranking 5 National Ranking 3

Research.com Recognitions

Awards & Achievements

2005 - John von Neumann Lecturer

1991 - Fellow of the Royal Society of Canada Academy of Science

1990 - Norbert Wiener Prize in Applied Mathematics

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Jerrold E. Marsden mainly focuses on Classical mechanics, Mathematical analysis, Symplectic geometry, Mechanical system and Hamiltonian system. His research in Classical mechanics intersects with topics in Complex system, Dynamical systems theory, Invariant manifold and Symmetry. His Mathematical analysis research is multidisciplinary, relying on both Nonlinear system, Applied mathematics and Mathematical physics.

As part of one scientific family, Jerrold E. Marsden deals mainly with the area of Symplectic geometry, narrowing it down to issues related to the Variational integrator, and often Variational principle, Discretization and Noether's theorem. His research in Mechanical system tackles topics such as Dissipation which are related to areas like Dissipative system. His Hamiltonian system study combines topics from a wide range of disciplines, such as Lie group, Hamiltonian, Homoclinic orbit and Integrable system.

His most cited work include:

  • Introduction to mechanics and symmetry (2755 citations)
  • Foundations of Mechanics (2391 citations)
  • Mathematical foundations of elasticity (1868 citations)

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

His scientific interests lie mostly in Mathematical analysis, Classical mechanics, Mathematical physics, Hamiltonian system and Symplectic geometry. His study looks at the relationship between Mathematical analysis and topics such as Nonlinear system, which overlap with Applied mathematics. His study in Classical mechanics is interdisciplinary in nature, drawing from both Symmetry, Hamiltonian and Dynamical systems theory.

His work deals with themes such as Mechanical system and Control theory, which intersect with Symmetry. His Symplectic geometry study is related to the wider topic of Pure mathematics. Jerrold E. Marsden mostly deals with Lie group in his studies of Pure mathematics.

He most often published in these fields:

  • Mathematical analysis (31.87%)
  • Classical mechanics (27.62%)
  • Mathematical physics (11.76%)

What were the highlights of his more recent work (between 2005-2017)?

  • Classical mechanics (27.62%)
  • Mathematical analysis (31.87%)
  • Symplectic geometry (10.91%)

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

Jerrold E. Marsden spends much of his time researching Classical mechanics, Mathematical analysis, Symplectic geometry, Applied mathematics and Control theory. The study incorporates disciplines such as Vortex and Vortex ring in addition to Classical mechanics. His work investigates the relationship between Mathematical analysis and topics such as Homogeneous space that intersect with problems in Flow.

His Symplectic geometry study integrates concerns from other disciplines, such as Symmetry and Hamiltonian system. Jerrold E. Marsden combines subjects such as Hamiltonian and Dirac with his study of Hamiltonian system. His Applied mathematics research includes elements of Mathematical optimization and Variational integrator.

Between 2005 and 2017, his most popular works were:

  • Dynamical Systems, the Three-Body Problem and Space Mission Design (295 citations)
  • Lagrangian analysis of fluid transport in empirical vortex ring flows (215 citations)
  • Hamiltonian Reduction by Stages (168 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

His primary areas of study are Classical mechanics, Mathematical analysis, Discretization, Variational principle and Applied mathematics. The Classical mechanics study combines topics in areas such as Symmetry, Vortex ring and Holonomic. As part of his studies on Mathematical analysis, Jerrold E. Marsden often connects relevant subjects like Reynolds-averaged Navier–Stokes equations.

His Discretization research is multidisciplinary, incorporating elements of Mechanical system, Fluid dynamics, Conservation law, Numerical analysis and Differential form. His Variational principle research incorporates themes from Lie group, Hamiltonian and Dirac. His Applied mathematics study combines topics in areas such as Computational electromagnetics, Variational integrator, Mathematical optimization, Spacetime and Legendre 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.

Top Publications

Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems

Jerrold E. Marsden;Tudor S. Ratiu.
(2010)

4150 Citations

Mathematical foundations of elasticity

Jerrold E. Marsden;Thomas J. R. Hughes;D. E. Carlson.
(1982)

3745 Citations

Manifolds, tensor analysis, and applications

R. Abraham;J. E. Marsden;T. Ratiu;Cecile DeWitt‐Morette.
(1983)

3306 Citations

The Hopf Bifurcation and Its Applications

J. E. Marsden;M. McCracken;P. R. Sethna;G. R. Sell.
(1976)

2489 Citations

Introduction to mechanics and symmetry

Jerrold E. Marsden;Tudor S. Ratiu.
(1999)

2455 Citations

Reduction of symplectic manifolds with symmetry

Jerrold E. Marsden;Alan J. Weinstein.
Reports on Mathematical Physics (1974)

1755 Citations

Discrete mechanics and variational integrators

J. E. Marsden;M. West.
Acta Numerica (2001)

1538 Citations

Groups of diffeomorphisms and the motion of an incompressible fluid

David G. Ebin;Jerrold Marsden.
Annals of Mathematics (1970)

1479 Citations

A mathematical introduction to fluid mechanics

A. J. Chorin;J. E. Marsden;A. Leonard.
(1979)

1329 Citations

Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows

Shawn C. Shadden;Francois Lekien;Jerrold E. Marsden.
Physica D: Nonlinear Phenomena (2005)

1207 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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