A Note on Numerical Transform Calculus
- 1 January 1957
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE
- Vol. 45 (10) , 1401-1406
- https://doi.org/10.1109/JRPROC.1957.278226
Abstract
Many of the numerical transform methods, developed for the solution of integrodifferential equations, exhibit difficulties when discontinuities occur at the origin. In this paper a procedure for including initial conditions is derived which effectively takes origin discontinuities into account. Although shown to be applicable to a number of transform methods, the derivation emphasizes application to the z-form integration operators because of their relatively greater accuracy. Numerical examples illustrating the solution of a constant coefficient and a time-varying problem are given. The technique is equally applicable to the solution of nonlinear problems.Keywords
This publication has 3 references indexed in Scilit:
- A Simplified Method of Solving Linear and Nonlinear SystemsProceedings of the IRE, 1956
- Numerical Analysis for Network DesignTransactions of the IRE Professional Group on Circuit Theory, 1954
- Frequency Analysis of Digital Computers Operating in Real TimeProceedings of the IRE, 1954