Accession Number : AD0722648

Title :   A Fortran Computer Program for Calculating the Prolate Spheroidal Radial Functions of the First and Second Kind and Their First Derivatives.

Descriptive Note : Interim rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : King,B. J. ; Baier,R. V. ; Hanish,S.

Report Date : 30 MAR 1970

Pagination or Media Count : 34

Abstract : The solutions of the Helmholtz wave equation in prolate spheroidal coordinates can be obtained by separation of variables. The subject of this report is a Fortran computer program called PRAD which calculates numerical values to the solutions of the resulting ordinary differential equation for the 'radial' coordinate. The printed output of PRAD consists of radial functions of the first and second types, their first derivatives, the separation constants or eigenvalues, and an accuracy check. The report describes the computer program PRAD and briefly reviews the theory of prolate spheroidal wave functions. A computer listing of PRAD along with some sample output is included in an appendix. (Author)

Descriptors :   (*SPECIAL FUNCTIONS(MATHEMATICAL), WAVE FUNCTIONS), (*COMPUTER PROGRAMS, INSTRUCTION MANUALS), ELECTROMAGNETIC RADIATION, SOUND TRANSMISSION, BESSEL FUNCTIONS, NUMERICAL INTEGRATION, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, TABLES(DATA)

Subject Categories : Numerical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE