In this report the numerical integration of ellipticpartial differential equations under Robbin's boundaryconditions is attempted by means of the Extrapolatedform of the Alternating Direction Implicit methods.A set of varying extrapolation parameters is determinedalong with Douglas' cycle of acceleration parameters anda comparison between the above two sets of iterationparameters is performed

Lordanidis, KI

English

Brunel University Research Archive

Alternating Direction for Three Space Variables,

Doctoral Thesis,

Finite Difference Methods for Partial Differential Equations,

Numerical Solution of the Third Boundary Value Problem,

On Richardson's method for solving linear systems with positive definite matrices,

Solving Laplace's Equat ion on a Rectangle.

Solving Laplace's Equation on a Rectangle.

The acceleration of the Peaceman-Rachford Method by Chebyshev polynomials,

The approximate arithmetical solution by finite difference of physical problems involving different ial equations, with an application to the stresses in a masonry dam.

The approximate arithmetical solution by finite difference of physical problems involving differential equations, with an application to the stresses in a masonry dam.

The Bobbin's Problem for Elliptic Equations in Space,

The Third Boundary Value Problem for Elliptic Equations,

Solving Robbin's problem

Solving Robbin's problem

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Brunel University Research Archive