Accession Number : AD0757673

Title :   Digital Simulation of Dynamical Systems.

Descriptive Note : Final rept.,

Corporate Author : NAVAL SHIP ENGINEERING CENTER PHILADELPHIA PA PHILADELPHIA DIV

Personal Author(s) : Loeb,A. M.

Report Date : 06 MAY 1973

Pagination or Media Count : 21

Abstract : The report covers the initial phases of an investigation into proved methods of simulating dynamical systems on a digital computer. The two main areas discussed are: Implicit temporal integration algorithms. It is shown why implicit temporal algorithms reduce computer time for stiff systems (systems with widely separated eigenvalues). Successful results using such algorithms are reported; Improved finite difference algorithms for the spatial derivatives in partial differential equations. Improved accuracy for finite difference methods coupling higher numbers of spatial points is demonstrated by an eigenvalue analysis of several linear distributed parameter systems. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *COMPUTER PROGRAMMING), SYSTEMS ENGINEERING, LINEAR SYSTEMS, MATHEMATICAL MODELS, MATRICES(MATHEMATICS), NUMERICAL ANALYSIS, NUMERICAL INTEGRATION

Subject Categories : Theoretical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE