Economical difference schemes for multidimensional problems in mathematical physics

1 THE ALTERNATING DIRECTION METHOD (THE LONGITUDINAL-TRANSVERSE SCHEME) [Pg.543]

Some preliminary information on economical schemes. One of the most important issues in numerical methods is the well-founded choice of economical computational algorithms, the realization of which requires a min- [Pg.543]

Marcel Dekker, Inc. 270 Madison Avenue, New York, New York 10016 [Pg.543]

In view of this, the economy requirement becomes rather urgent and extremely important in numerical solution of multidimensional problems arising time and again in mathematical physics. [Pg.544]

To understand the nature of this a little better, we focus our attention on the simplest examples serving to motivate what is done with economical difference schemes and regarding to some preliminaries. The object of investigation is the heat conduction equation in the space [Pg.544]

We recall from Chapter 5, Section 3 that scheme (2) is stable with respect to the initial data under the constraint [Pg.544]

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