Title :
Numerical integration using Bezier splines
Author :
Balkir, Sina ; Yanilmaz, Mehmet ; Plonus, Martin
Author_Institution :
Dept. of Electr. & Electron. Eng., Bogazici Univ., Istanbul, Turkey
fDate :
6/1/1994 12:00:00 AM
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;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on