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SUMMARY:Paul Kotyczka (TU Munich)
DTSTART:20240508T140000Z
DTEND:20240508T150000Z
DTSTAMP:20260423T023942Z
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\n\n\nAbstra
 ct\nThe interest of this talk is to show possibilities to preserve “stru
 cture” when continuous-time port-Hamiltonian (PH) models are translated 
 via numerical integration to the discrete-time domain. On the example of a
  simple\n(mechanical) Hamiltonian system with one degree of freedom\, we f
 irst illustrate symplecticity\, i.e.\, area preservation in the phase plan
 e\, of the flow as an underlying structural property\, from which energy c
 onservation is derived. Consequently\, we give examples for numerical inte
 gration schemes that are symplectic or energy-conserving.\n\nBoth families
  of integrators can be used for the definition of discrete-time PH systems
 \, where the definitions of discrete-time port variables play a fundamenta
 l role to describe energy transfer over the system boundary. We highlight 
 similarities and differences using the two paths\, in particular based on 
 the discrete-time energy balance equations.\n\nFinally\, we give two examp
 les from our recent research\, where discrete-time models of geometrically
  nonlinear systems – elastic continua and beams – are obtained with st
 ructure-preserving methods.\n
LOCATION:https://researchseminars.org/talk/PHSeminar/4/
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