Asymptotic Expansion of Integrals

作者: Carl M. Bender , Steven A. Orszag

DOI: 10.1007/978-1-4757-3069-2_6

关键词: Mathematical analysisDifferential equationAsymptotic expansionMathematicsSaddle pointAsymptotic analysisSlater integralsBoundary (topology)Asymptotic analysisTrigonometric integral

摘要: The analysis of differential and difference equations in Chaps. 3 to 5 is pure local analysis; there we predict the behavior solutions near one point, but do not incorporate initial-value or boundary-value data at other points. As a result, our predictions usually contain unknown constants. However, when equation soluble, can use boundary initial make parameter-free behavior.

参考文章(1)
Frank W. J. Olver, Asymptotics and Special Functions ,(1974)