Accession Number : AD0684905

Title :   A THREE-PARAMETER FAMILY OF STABLE DIFFERENCE METHODS FOR ONE-DIMENSIONAL ACOUSTIC VIBRATIONS.

Descriptive Note : Memorandum rept.,

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Glese,John H.

Report Date : FEB 1969

Pagination or Media Count : 15

Abstract : A three-parameter family of difference methods for solving the system of partial differential equations of one-dimensional acoustic vibrations is determined. Insistence on stability, combined with a demand to maximize the permissible value of delta t/delta x leads us to rediscover Lax's method for one-dimensional acoustics. (Author)

Descriptors :   (*MECHANICAL WAVES, SOUND TRANSMISSION), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), DIFFERENCE EQUATIONS, VIBRATION, ACOUSTICS, BOUNDARY VALUE PROBLEMS, STABILITY

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE