576 citations · 1.9k across the 50 of their papers we have counts for
50 papers
Regular Reduction of Controlled Hamiltonian System with Symplectic Structure and Symmetry
Jerrold E. Marsden, Hong Wang, Zhen-Xing Zhang
In this paper, our goal is to study the regular reduction theory of regular controlled Hamiltonian (RCH) systems with symplectic structure and symmetry, and this reduction is an ex…
Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs
Molei Tao, Houman Owhadi, Jerrold E. Marsden
We present a new class of integrators for stiff PDEs. These integrators are generalizations of FLow AVeraging integratORS (FLAVORS) for stiff ODEs and SDEs introduced in [Tao, Owha…
Variational integrators for electric circuits
Sina Ober-Blöbaum, Molei Tao, Mulin Cheng +2
In this contribution, we develop a variational integrator for the simulation of (stochastic and multiscale) electric circuits. When considering the dynamics of an electrical circui…
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…