Discretization Error Analysis in Linear DDA Connections

Author

Hakkala, Lauri ; Ojala, Leo

Author_Institution

Applied Electronics Laboratory, Helsinki University of Technology

Issue

9

fYear

1974

Firstpage

932

Lastpage

941

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.;

fLanguage

English

Journal_Title

Computers, IEEE Transactions on

Publisher

ieee

ISSN

0018-9340

Type

jour

DOI

10.1109/T-C.1974.224057

Filename

1672650