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单词 Method of steepest descent
释义

Method of steepest descent

英语百科

Method of steepest descent

An illustration of Complex Morse Lemma
An illustration to the derivation of equation (8)

In mathematics, the method of steepest descent or stationary phase method or saddle-point method is an extension of Laplace's method for approximating an integral, where one deforms a contour integral in the complex plane to pass near a stationary point (saddle point), in roughly the direction of steepest descent or stationary phase. The saddle-point approximation is used with integrals in the complex plane, whereas Laplace’s method is used with real integrals.

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