A differential equation method for the numerical evaluation of the Airy, Pearcey and swallowtail canonical integrals and their derivatives

This publication has 17 references indexed in Scilit:

• Semiclassical and quasiclassical calculation of reaction probabilities for collinear X + F₂→XF + F (X = Mu, H, D, T)
  Molecular Physics, 1982
• A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives
  Journal of Physics A: General Physics, 1982
• Theory of cusped rainbows in elastic scattering: Uniform semiclassical calculations using Pearcey’s integral
  The Journal of Chemical Physics, 1981
• Molecular collisions and cusp catastrophes: three methods for the calculation of pearcey's integral and its derivatives
  Chemical Physics Letters, 1981
• Catastrophes and molecular collisions
  Molecular Physics, 1976
• Semiclassical theory of molecular collisions: Many nearly coincident classical trajectories
  Molecular Physics, 1974
• Semiclassical theory of molecular collisions : three nearly coincident classical trajectories
  Molecular Physics, 1973
• Integrals with a large parameter. Several nearly coincident saddle points
  Mathematical Proceedings of the Cambridge Philosophical Society, 1972
• Theory of Semiclassical Transition Probabilities for Inelastic and Reactive Collisions. II Asymptotic Evaluation of the S Matrix
  The Journal of Chemical Physics, 1971
• An extension of the method of steepest descents
  Mathematical Proceedings of the Cambridge Philosophical Society, 1957