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Identifier 000430984
Title Spectral methods for the semiclassical Schrödinger equation
Alternative Title Φασματικές μέθοδοι για την επίλυση της ημικλασικής εξίσωσης του Schrodinger
Author Κοροσίδης, Χαράλαμπος
Thesis advisor Πλεξουσάκης, Μιχαήλ
Abstract We consider the time-dependent linear Schrödinger equation in a semiclassical scaling. This equation forms a canonical example of a dispersive model whose solution exhibits high-frequency oscillations. Because of this, the design of efficient numerical methods which produce an accurate approximation of the solutions, or of the associated physical observables, is a mathematical and computational challenge. In this thesis we study two time-splitting spectral methods for the semiclassical Schrödinger equation and investigate their effectiveness in approximating the observables.
Language English, Greek
Subject Strang method
Μέθοδος strang
Issue date 2020-07-24
Collection   Faculty/Department--Faculty of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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