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- Jerrold E. Marsden

Mathematics

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

Mathematics
D-index
127
Citations
78,711
582
World Ranking
1
National Ranking
1

2023 - Research.com Mathematics in United States Leader Award

2022 - Research.com Mathematics in United States Leader Award

2005 - John von Neumann Lecturer

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

1990 - Norbert Wiener Prize in Applied Mathematics

- 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.

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

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.

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

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

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.

- 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)

- 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.

Foundations of Mechanics

Ralph Abraham;Jerrold E. Marsden.

Foundations of Mechanics **(1978)**

8162 Citations

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

Jerrold E. Marsden;Tudor S. Ratiu.

**(1994)**

4437 Citations

Mathematical foundations of elasticity

Jerrold E. Marsden;Thomas J. R. Hughes;D. E. Carlson.

**(1982)**

3971 Citations

Manifolds, tensor analysis, and applications

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

**(1983)**

3539 Citations

The Hopf Bifurcation and Its Applications

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

**(1976)**

3045 Citations

Introduction to mechanics and symmetry

Jerrold E. Marsden;Tudor S. Ratiu.

**(1994)**

2850 Citations

Reduction of symplectic manifolds with symmetry

Jerrold E. Marsden;Alan J. Weinstein.

Reports on Mathematical Physics **(1974)**

2074 Citations

Discrete mechanics and variational integrators

J. E. Marsden;M. West.

Acta Numerica **(2001)**

1760 Citations

Groups of diffeomorphisms and the motion of an incompressible fluid

David G. Ebin;Jerrold Marsden.

Annals of Mathematics **(1970)**

1634 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)**

1412 Citations

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