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SUMMARY:Vít Průša
DTSTART:20260311T080000Z
DTEND:20260311T090000Z
DTSTAMP:20260422T122423Z
UID:MathMAC/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathMAC/53/"
 >Discrete versus continuous-linear lattice models and their exact continuo
 us counterparts</a>\nby Vít Průša as part of Modelling of materials - t
 heory\, model reduction and efficient numerical methods (UNCE MathMAC)\n\n
 \nAbstract\nWe discuss the correspondence between discrete linear lattice/
 chain models of interacting particles and their continuous counterparts re
 presented by linear partial differential equations. In particular\, we stu
 dy the correspondence problem for linear nearest neighbour interaction lat
 tice models as well as for linear multiple-neighbour interaction lattice m
 odels\, while we gradually proceed from infinite lattices to periodic latt
 ices and finally to finite lattices with fixed ends/zero Dirichlet boundar
 y conditions. The whole study is framed as a systematic specialisation of 
 Fourier analysis tools from the continuous to the discrete setting and vic
 e versa\, and the correspondence between the discrete and continuous model
 s is examined primarily with regard to the dispersion relation.\n
LOCATION:https://researchseminars.org/talk/MathMAC/53/
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