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physics.comp-ph2024★ 1 cited
Multiresolution of the one dimensional free-particle propagator. Part 1: Construction
Evgueni Dinvay, Yuliya Zabelina, Luca Frediani
The free-particle propagator, a key operator in various algorithms for simulating the time evolution of the Schrödinger equation, is studied. A multiscale approximation of this pro…
physics.comp-ph2019★ 24 cited
A comparative study of bi-directional Whitham systems
Evgueni Dinvay, Denys Dutykh, Henrik Kalisch
In 1967, Whitham proposed a simplified surface water-wave model which combined the full linear dispersion relation of the full Euler equations with a weakly linear approximation. T…