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Principles of constructing standard programs with automatic step selection

Mark Carlton1001 14-May-2018

Principles of constructing standard programs with automatic step selection
 Integrals from functions with type-specific features are well calculated by integration methods with a variable step if the integration nodes are optimally distributed. Apparently, functions with features of other types will also be well integrated. It therefore seems to be advisable to build standard numerical integration programs such that for any function distribution of nodes is optimal or close to it.
 If the primary grid, on which the integral function is studied, is frequent, then the memory of the computer is strongly loaded; if it is rare, then it is not possible to approximate the optimal distribution of nodes in areas of a sharp change in the sub-integral function.
Therefore, when developing standard integration programs, several other procedures for the distribution of integration nodes have been adopted that provide better approximation to the optimal distribution of nodes for a feature with features. Let's look at some of them in essaywriting.ninja Programming archive.


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