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Methods for solving grid equations

In this chapter economical direct and iterative methods are designed for numerical solution of difference elliptic equations. [Pg.643]

In Section 1 we confine ourselves to direct economical methods available for solving boundary-value problems associated with Poisson s equation in a rectangle such as the decomposition method and the mathod of separation of variables. [Pg.643]

The general theory of iterative methods is presented in the next sections with regard to an operator equation of the first kind Au — f, where T is a self-adjoint operator in a finite-dimensional Euclidean space. The applications of such theory to elliptic grid equations began to spread to more and more branches as they took on an important place in real-life situations. [Pg.643]

See other pages where Methods for solving grid equations is mentioned: [Pg.643]    [Pg.644]    [Pg.646]    [Pg.648]    [Pg.650]    [Pg.652]    [Pg.654]    [Pg.656]    [Pg.658]    [Pg.660]    [Pg.662]    [Pg.664]    [Pg.666]    [Pg.668]    [Pg.670]    [Pg.672]    [Pg.674]    [Pg.676]    [Pg.678]    [Pg.680]    [Pg.682]    [Pg.684]    [Pg.686]    [Pg.688]    [Pg.690]    [Pg.692]    [Pg.694]    [Pg.696]    [Pg.698]    [Pg.700]    [Pg.702]    [Pg.704]    [Pg.706]    [Pg.708]    [Pg.710]    [Pg.712]    [Pg.716]    [Pg.718]    [Pg.720]    [Pg.722]    [Pg.724]    [Pg.726]    [Pg.728]    [Pg.730]    [Pg.732]    [Pg.734]    [Pg.736]    [Pg.738]    [Pg.740]    [Pg.742]    [Pg.744]   


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