Workers with access to computing machines will not usually have to write lengthy computer programs making use of the methods described in previous chapters for the solution of ordinary differential equations. Most computing services provide a reasonably large range of numerical software, the computer having permanently available in its store a number of routines for solving standard problems in numerical analysis, including the solution of ordinary differential equations. The user‘s tasks are to learn to understand: (a) the technical details of how to use these routines; (b) how to choose the routine most appropriate to his particular problem; and (c) how to interpret the numerical results which the machine has provided. The notes associated with the routines generally make the required information reasonably available, and it is hoped that the material of this book will also be helpful in these respects.
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