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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 total variation diminishing ： ウィキペディア英語版 total variation diminishing In numerical methods, total variation diminishing (TVD) is a property of certain discretization schemes used to solve hyperbolic partial differential equations. The most notable application of this method is in computational fluid dynamics. The concept of TVD was introduced by Ami Harten. ==Model equation== In systems described by partial differential equations, such as the following hyperbolic advection equation, :$\backslash frac\; +\; a\backslash frac\; =\; 0,$ the total variation (TV) is given by, :$TV\; =\; \backslash int\; \backslash left|\; \backslash frac\; \backslash right|\; dx\; ,$ and the total variation for the discrete case is, :$TV\; =\; \backslash sum\_j\; \backslash left|\; u\_\; -\; u\_j\; \backslash right|\; .$ A numerical method is said to be total variation diminishing (TVD) if, :$TV\; \backslash left(\; u^\backslash right)\; \backslash leq\; TV\; \backslash left(\; u^\backslash right)\; .$ 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「total variation diminishing」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.