Numerical Integration Using Bézier Splines

Sina Balkir, Mehmet Yanilmaz, Martin Plonus

Research output: Contribution to journalArticlepeer-review


This paper describes numerical integration algorithms based upon Bézier 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 ézier 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.

Original languageEnglish (US)
Pages (from-to)737-745
Number of pages9
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Issue number6
StatePublished - Jun 1994

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering


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