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

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0684905

Entities

People

  • John H. Glese

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Acoustics
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Vibration

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Systems Analysis and Design