Numerical integration using Bezier splines

Author

Balkir, Sina ; Yanilmaz, Mehmet ; Plonus, Martin

Author_Institution

Dept. of Electr. & Electron. Eng., Bogazici Univ., Istanbul, Turkey

Volume

13

Issue

6

fYear

1994

fDate

6/1/1994 12:00:00 AM

Firstpage

737

Lastpage

745

Abstract

This paper describes numerical integration algorithms based upon Bezier splines. Numerical integration in the context of circuit simulation takes place in the transient analysis portion of the circuit simulators. The solution to the differential-algebraic equation system describing a dynamic circuit is obtained by formulas which formulate the solution as a Bezier function. The algorithms presented in this paper are fully investigated and developed for analog circuit simulation. SPICE program is used in testing these algorithms. Test circuit simulation results are provided to display the performance of the algorithms

Keywords

SPICE; analogue circuits; circuit analysis computing; integration; numerical analysis; splines (mathematics); transient response; Bezier splines; SPICE program; analog circuit simulation; circuit simulator; dynamic circuit; numerical integration algorithms; transient analysis; Analytical models; Circuit simulation; Circuit testing; Computational modeling; Context modeling; Equations; Finite wordlength effects; SPICE; Transient analysis; Voltage;

fLanguage

English

Journal_Title

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/43.285248

Filename

285248