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math.NA2026
Uniform approximation of spectra of linear second order differential operators via discrete sine transform based discretisation
Oliver Křenek, V\'ıt Průša, Rebecca Tozzi +1
We study various discretisation schemes for the regular Sturm--Liouville operator on a bounded interval and for the Laplace operator on an arbitrary planar domain, in both cases su…
physics.class-ph2026
Discrete versus continuous -- linear lattice models and their exact continuous counterparts
Lorenzo Fusi, Oliver Křenek, Vít Průša +3
We review and study the correspondence between discrete linear lattice/chain models of interacting particles and their continuous counterparts represented by linear partial differe…