Post-graduate theses

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Identifier	000357779
Title	Μοντέρνες αριθμητικές μέθοδοι επίλυσης των γραμμικών συστημάτων της ρευστοδυναμικής
Alternative Title	Modern numerical methods for thw solution of linear systems arising in fluid dynamics
Author	Ψυχάρης, Μάνος Θ
Thesis advisor	Κατσαούνης, Θεόδωρος
Abstract	The solution of very large and sparse linear systems of algebraic equations, constitutes basic constitutive element of scientific calculations. Towards the numerical approximation of solutions of partial differential and integral equations, often is encountered the need for solving such kind of systems. In fluid dynamics, the discretization of Stokes equations, with finite difference or finite element methods, has as a resulting, at every step of the algorithm, the solution of a large and sparse symmetric linear system of algebraic equations. In the present Master Thesis, I study, implement and compare a set of methods for the efficient numerical solution of the above linear systems.
Language	Greek
Subject	Krylov Subspace methods
	Stokes equations
	iterative methods
	saddle point linear systems
	sparse linear systems
	αραιά γραμμικά συστήματα
	γραμμικά συστήματα σαγματικού σημείου
	εξισώσεις Stokes
	επαναληπτικές μέθοδοι
	μέθοδοι υποχώρων Krylov
Issue date	2010-05-26
Collection	School/Department--School of Sciences and Engineering--Department of Applied Mathematics--Post-graduate theses
	Type of Work--Post-graduate theses
Permanent Link	https://elocus.lib.uoc.gr//dlib/f/a/1/metadata-dlib-c1e1b0b436900117e9bc0480cbe378da_1277116031.tkl
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