The Nonconservative Action Principle: Basic Formalism and Numerical Applications

Dave Tsang
Event Date and Time: 
Mon, 2015-08-24 15:30 - 16:30
TBA (Likely Hennings 318)
I will outline the nonconservative variational principle that we
have recently developed, which allows for nonconservative processes to be generically modeled with an action. This new variational principle enables the effect of "inaccessible" degrees of freedom to be incorporated into the action, allowing nonconservative physics to naturally arise at the action level. I will demonstrate how this can be applied to the formulation of nonconservative variational integrators: numerical integrators with the Noether charge (Energy, angular momentum etc) accuracy properties of symplectic integrators but for systems that have dissipation or other nonconservative physics (e.g. tidal interactions, radiation reaction, drag). This has lead to a new class of numerical methods that we call "slimplectic" integrators. 
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