Abstract

Numerical methods for the solution of time-dependent partial differential equations are classified under three headings and members of each class are considered in some detail. A survey of the relative merits of the hopscotch class of algorithms and of methods of Galerkin type is given with particular reference to the needs of the user. Some suggestions for possible developments in this field are included in the hope that they may lead to powerful schemes for the solution of partial differential equations.

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