论文信息 - Optimal use of a numerical method for solving differential equations based on Taylor series expansions

Optimal use of a numerical method for solving differential equations based on Taylor series expansions

SUMMARY Efficiency in solving differential equations is improved by increasing the order of a Taylor series approximation. Computing time can be reduced up to a factor of 40 and an amount of memory storage can be saved, up to a factor of 70. The truncation error can be estimated not only by order but also by magnitude.

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