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physics.class-ph2023★ 20 cited
Notes on osculations and mode tracing in semi-analytical waveguide modeling
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer
The dispersion curves of (elastic) waveguides frequently exhibit crossings and osculations (also known as veering, repulsion, or avoided crossing). Osculations are regions in the d…
math.NA2023★ 2 cited
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils
Daniel Kressner, Bor Plestenjak
The numerical solution of the generalized eigenvalue problem for a singular matrix pencil is challenging due to the discontinuity of its eigenvalues. Classically, such problems are…