576 citations · 1.9k across the 50 of their papers we have counts for
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Geometric, Variational Discretization of Continuum Theories
Evan S. Gawlik, Patrick Mullen, Dmitry Pavlov +2
This study derives geometric, variational discretizations of continuum theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the dynamics of complex fluids. A central…
Stokes-Dirac Structures through Reduction of Infinite-Dimensional Dirac Structures
Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leok +1
We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Schaft and Maschke. We introduce Poisson reduction in this context and show how St…
Multi-Dirac Structures and Hamilton-Pontryagin Principles for Lagrange-Dirac Field Theories
Joris Vankerschaver, Hiroaki Yoshimura, Jerrold E. Marsden
The purpose of this paper is to define the concept of multi-Dirac structures and to describe their role in the description of classical field theories. We begin by outlining a vari…
Temperature and Friction Accelerated Sampling of Boltzmann-Gibbs Distribution
Molei Tao, Houman Owhadi, Jerrold E. Marsden
This paper is concerned with tuning friction and temperature in Langevin dynamics for fast sampling from the canonical ensemble. We show that near-optimal acceleration is achieved…
Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position
Molei Tao, Houman Owhadi, Jerrold E. Marsden
Impulse methods are generalized to a family of integrators for Langevin systems with quadratic stiff potentials and arbitrary soft potentials. Uniform error bounds (independent fro…
From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials
Molei Tao, Houman Owhadi, Jerrold E. Marsden
We present a multiscale integrator for Hamiltonian systems with slowly varying quadratic stiff potentials that uses coarse timesteps (analogous to what the impulse method uses for…
The Dynamics of a Rigid Body in Potential Flow with Circulation
Joris Vankerschaver, Eva Kanso, Jerrold E. Marsden
We consider the motion of a two-dimensional body of arbitrary shape in a planar irrotational, incompressible fluid with a given amount of circulation around the body. We derive the…