Accession Number : AD0832904

Title :   A STUDY OF THE HERMITIAN NUMERICAL METHOD APPLIED TO THE SINGLE DEGREE OF FREEDOM, DAMPED OSCILLATOR.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Van Sickle, Garth Allan

Report Date : MAR 1968

Pagination or Media Count : 50

Abstract : Approximation of the differential equation of the single degree of freedom, damped oscillator by the first order central finite difference equations and two Hermitian finite difference equations is investigated. An error analysis is made between the solution to the differential equation and the solutions to the finite difference approximations for various values of damping. The results of the error analysis indicate that the Hermitian approximations have less error than the first order difference approximation for the same size of increment. Furthermore, the employment of the Hermitian method does not materially increase the execution time on the digital computer over that required by the first order difference equations. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, NUMERICAL METHODS AND PROCEDURES, APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, ERRORS, TIME, OSCILLATION, EQUATIONS OF MOTION, DAMPING, THESES.

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE