Uniform stationary phase method

著者
書誌事項

Uniform stationary phase method

V.A.Borovikov

(IEE electromagnetic waves series, 40)

Institution of Electrical Engineers, c1994

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内容説明・目次

内容説明

This monograph expounds an original asymptotic stationary phase method for the evaluation of integrals of rapidly oscillating functions, which should be beneficial in wave radiation, propagation and diffraction research. It is self-contained, with theory, formulae and tabulated co-efficients.

目次

  • Asymptotic contribution of critical point in a one-dimensional integral
  • two critical points in a one-dimensional integral
  • three close critical points in a one-dimensional integral
  • uniform asymptotics of two-fold integrals
  • problems of diffraction and wave propagation
  • special functions
  • coefficients of special function expansion in Chebyshev's polynomials.

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