Computation of a class of functions useful in the phase-integral approximation. I: Results

DOI10.1016/0021-9991(72)90068-XzbMath0257.65021OpenAlexW2012000342MaRDI QIDQ2559232

Yanyan Li

Publication date: 1972

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(72)90068-x

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computation of special functions and constants, construction of tables (65D20) Numerical methods for ordinary differential equations (65L99) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

Phase-integral formulas for Bessel functions and their relation to already existing asymptotic formulas ⋮ Computation of a class of functions useful in the phase-integral approximation. II: Performance of TRIGMAN, SYMBAL and LISP ⋮ The analytic approach to recursion relations ⋮ Improved higher order phase-integral approximations of the JWKB type in the vicinity of zeros and singularities of the wave number ⋮ Comments on the paper ‘‘On the WKBJ approximation’’ [J. Math. Phys. 2 8, 556 (1987)] ⋮ Detailed behavior of the phase-integral approximations at zeros and singularities of the square of the base function ⋮ Adiabatic expansions of solutions of coupled second-order linear differential equations. II ⋮ The Stokes constants for a cluster of transition points ⋮ Phase-integral treatment of wave reflexion by real potentials ⋮ A direct method for modifying certain phase-integral approximations of arbitrary order ⋮ Phase integral approximation for coupled ordinary differential equations of the Schrödinger type ⋮ Semiclassical analysis of the tensor power spectrum in the Starobinsky inflationary model

Cites Work

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• The SNOBOL3 Programming Language
• The structure of the Cambridge algebra system