翻訳と辞書
Words near each other
・ Methodist Ladies' College, Perth
・ Methodist local preacher
・ Methodist Manse
・ Methodist Mission
・ Methodist Mountain
・ Methodist New Connexion
・ Methodist Peace Fellowship
・ Methodist Protestant Church
・ Methodist Reform Church
・ Methodist Relief & Development Fund (MRDF)
・ Methodist Rome
・ Methodist Tabernacle
・ Methodist Tabernacle (Mathews, Virginia)
・ Methodist Theological School
・ Method of matched asymptotic expansions
Method of mean weighted residuals
・ Method of Modern Love
・ Method of Modern Love (Saint Etienne song)
・ Method of moments
・ Method of moments (probability theory)
・ Method of moments (statistics)
・ Method of normals
・ Method of quantum characteristics
・ Method of simulated moments
・ Method of steepest descent
・ Method of successive substitution
・ Method of supplementary variables
・ Method of support
・ Method of undetermined coefficients
・ Method overriding


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Method of mean weighted residuals : ウィキペディア英語版
Method of mean weighted residuals
In applied mathematics, methods of mean weighted residuals (MWR) are methods for solving differential equations. The solutions of these differential equations are assumed to be well approximated by a finite sum of test functions \phi_i. In such cases, any one of a theoretically infinite set of methods of weighted residuals (depending on the choice of \phi_i) are applied in an attempt to find which precise value each of the coefficient weight of the corresponding test functions. These coefficients are made to minimize the error between the sum of the test functions and actual solution in a chosen norm.
==Notation of this page==
It is often very important to firstly sort out notation used before presenting how this method is executed in order to avoid confusion.
* u(x) shall be used to denote the solution to the differential equation that the MWR method is being applied to.
*Solving the differential equation mentioned shall be set to equate to setting some function R\left(x,u,u_x,\ldots,\frac\right) called the "residue function" to zero.
*Every method of mean weighted residuals involves some "test functions" that shall be denoted by w_i .
*The degrees of freedom shall be denoted by a_i .
*If the assumed form of the solution to the differential equation R\left(x,u,u_x,\ldots,\frac\right)=0 is linear (in the degrees of freedom) then the basis functions used in said form shall be denoted by \phi_i .

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「Method of mean weighted residuals」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.