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In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to oscillatory integrals : taken over ''n''-dimensional space ℝ''n'' where ''i'' is the imaginary unit. Here ''f'' and ''g'' are real-valued smooth functions. The role of ''g'' is to ensure convergence; that is, ''g'' is a test function. The large real parameter ''k'' is considered in the limit as . This method originates from the 19th century, and is due to George Gabriel Stokes and Lord Kelvin. ==Basics== The main idea of stationary phase methods relies on the cancellation of sinusoids with rapidly varying phase. If many sinusoids have the same phase and they are added together, they will add constructively. If, however, these same sinusoids have phases which change rapidly as the frequency changes, they will add incoherently, varying between constructive and destructive addition at different times. 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「Stationary phase approximation」の詳細全文を読む スポンサード リンク
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