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Identifier

000386033

Title

Αριθμητική επίλυση των εξισώσεων Zakharov

Alternative Title

Numerical solution of the Zakharov equations

Author

Βάρσος, Κωνσταντίνος Α

Thesis advisor

Ζουράρης, Γεώργιος

Abstract

An inital and periodic values problem for a Zakharov system of equations is considered, which conserve the L₂ norm and the Hamiltonian. To approximate the solution to the problem the Glassey's finite differences method is proposed, the convergence of which is ensured by deriving a second order error estimate in a discrete energy norm. The numerical implementation of the method gives a computational confirmation of its order of convergence and as well of its L₂ norm and Hamiltonian conservation.

Language

Greek

Subject

Error estimate

Finite difference method

Second order convergence

Δεύτερης τάξης σύγκλιση

Εκτίμηση σφάλματος

Μέθοδος πεπερασμένων διαφορών

Issue date

2014-07-25

Collection