BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Paul Kotyczka (TU Munich)
DTSTART:20240508T140000Z
DTEND:20240508T150000Z
DTSTAMP:20260513T222340Z
UID:PHSeminar/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHSeminar/4/
 ">Geometric integration and discrete-time port-Hamiltonian systems</a>\nby
  Paul Kotyczka (TU Munich) as part of Port-Hamiltonian Seminar (pH Seminar
 )\n\n\nAbstract\nThe interest of this talk is to show possibilities to pre
 serve “structure” when continuous-time port-Hamiltonian (PH) models ar
 e translated via numerical integration to the discrete-time domain. On the
  example of a simple\n(mechanical) Hamiltonian system with one degree of f
 reedom\, we first illustrate symplecticity\, i.e.\, area preservation in t
 he phase plane\, of the flow as an underlying structural property\, from w
 hich energy conservation is derived. Consequently\, we give examples for n
 umerical integration schemes that are symplectic or energy-conserving.\n\n
 Both families of integrators can be used for the definition of discrete-ti
 me PH systems\, where the definitions of discrete-time port variables play
  a fundamental role to describe energy transfer over the system boundary. 
 We highlight similarities and differences using the two paths\, in particu
 lar based on the discrete-time energy balance equations.\n\nFinally\, we g
 ive two examples from our recent research\, where discrete-time models of 
 geometrically nonlinear systems – elastic continua and beams – are obt
 ained with structure-preserving methods.\n
LOCATION:https://researchseminars.org/talk/PHSeminar/4/
END:VEVENT
END:VCALENDAR