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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

School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses

Type of Work--Post-graduate theses

Permanent Link

https://elocus.lib.uoc.gr//dlib/1/a/a/metadata-dlib-1596099951-897511-6698.tkl