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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Local truncation error ： ウィキペディア英語版 Truncation error (numerical integration) Truncation errors in numerical integration are of two kinds: * ''local truncation errors'' – the error caused by one iteration, and * ''global truncation errors'' – the cumulative error caused by many iterations. == Definitions == Suppose we have a continuous differential equation : $y\text{'}\; =\; f(t,y),\; \backslash qquad\; y(t\_0)\; =\; y\_0,\; \backslash qquad\; t\; \backslash geq\; t\_0$ and we wish to compute an approximation $y\_n$ of the true solution $y(t\_n)$ at discrete time steps $t\_1,t\_2,\backslash ldots,t\_N$. For simplicity, assume the time steps are equally spaced: : $h\; =\; t\_n\; -\; t\_,\; \backslash qquad\; n=1,2,\backslash ldots,N.$ Suppose we compute the sequence $y\_n$ with a one-step method of the form : $y\_n\; =\; y\_\; +\; h\; A(t\_,\; y\_,\; h,\; f).$ The function $A$ is called the ''increment function'', and can be interpreted as an estimate of the slope of $y\_n$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Truncation error (numerical integration)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.