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
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 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.
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.
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.
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Foundations of Mechanics
Ralph Abraham;Jerrold E. Marsden.
Foundations of Mechanics (1978)
Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems
Jerrold E. Marsden;Tudor S. Ratiu.
Mathematical foundations of elasticity
Jerrold E. Marsden;Thomas J. R. Hughes;D. E. Carlson.
Manifolds, tensor analysis, and applications
R. Abraham;J. E. Marsden;T. Ratiu;Cecile DeWitt‐Morette.
The Hopf Bifurcation and Its Applications
J. E. Marsden;M. McCracken;P. R. Sethna;G. R. Sell.
Introduction to mechanics and symmetry
Jerrold E. Marsden;Tudor S. Ratiu.
Reduction of symplectic manifolds with symmetry
Jerrold E. Marsden;Alan J. Weinstein.
Reports on Mathematical Physics (1974)
Discrete mechanics and variational integrators
J. E. Marsden;M. West.
Acta Numerica (2001)
Groups of diffeomorphisms and the motion of an incompressible fluid
David G. Ebin;Jerrold Marsden.
Annals of Mathematics (1970)
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)
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