Title :
Discretization Error Analysis in Linear DDA Connections
Author :
Hakkala, Lauri ; Ojala, Leo
Author_Institution :
Applied Electronics Laboratory, Helsinki University of Technology
Abstract :
In this paper mathematical models for digital integrators operating with multidigit increments are given, and the discretization error analysis of their linear connections is studied. The integration methods considered are linear multistep integration methods; some examples are studied in detail. Linear digital differential analyzer (DDA) connections are defined, and their use in connection with the numerical solution of the initial value problem is explained. Finally, the discretization error in these linear DDA connections has been analyzed in detail; the theoretical results have also been verified experimentally.
Keywords :
DDA, digital incremental integrators, discretization error analysis, linear DDA connections, linear multistep integration methods, multidigit increments.; Analog computers; Approximation algorithms; Computer errors; Differential equations; Electron traps; Error analysis; Low earth orbit satellites; Magnetic analysis; Mathematical model; Quantization; DDA, digital incremental integrators, discretization error analysis, linear DDA connections, linear multistep integration methods, multidigit increments.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1974.224057