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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
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