DBDF: An implicit numerical differentiation algorithm for integrated circuit simulation

Persistent Link:
http://hdl.handle.net/10150/277918
Title:
DBDF: An implicit numerical differentiation algorithm for integrated circuit simulation
Author:
Hu, Luoan, 1954-
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Frequently, the design of integrated circuits cannot be accomplished by purely analytical techniques. Accurate and efficient algorithms for numerical circuit simulation are important tools. Several circuit simulators, such as SPICE, have been made available for this task. Contrary to many other applications of numerical system simulation, integrated circuit problems don't lend themselves to a formulation of state-space models, since the space charge in a p-n junction is a nonlinear and noninvertible function of the voltage across the junction. Therefore, it is necessary to employ numerical differentiation instead of numerical integration in this type of simulation study. The numerical algorithms employed in today's circuit simulators are fairly primitive. SPICE, for example, offers only two very simple implementations of the trapezoidal rule and of the backwards differentiation formula. This thesis describes the design and implementation of DBDF, a specification of a numerical method in Nordsieck format for solving circuit simulation problems. A formal stability and truncation error analysis are included.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Engineering, Electronics and Electrical.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College
Degree Grantor:
University of Arizona
Advisor:
Cellier, Francois E.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleDBDF: An implicit numerical differentiation algorithm for integrated circuit simulationen_US
dc.creatorHu, Luoan, 1954-en_US
dc.contributor.authorHu, Luoan, 1954-en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractFrequently, the design of integrated circuits cannot be accomplished by purely analytical techniques. Accurate and efficient algorithms for numerical circuit simulation are important tools. Several circuit simulators, such as SPICE, have been made available for this task. Contrary to many other applications of numerical system simulation, integrated circuit problems don't lend themselves to a formulation of state-space models, since the space charge in a p-n junction is a nonlinear and noninvertible function of the voltage across the junction. Therefore, it is necessary to employ numerical differentiation instead of numerical integration in this type of simulation study. The numerical algorithms employed in today's circuit simulators are fairly primitive. SPICE, for example, offers only two very simple implementations of the trapezoidal rule and of the backwards differentiation formula. This thesis describes the design and implementation of DBDF, a specification of a numerical method in Nordsieck format for solving circuit simulation problems. A formal stability and truncation error analysis are included.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectEngineering, Electronics and Electrical.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorCellier, Francois E.en_US
dc.identifier.proquest1345370en_US
dc.identifier.bibrecord.b27003188en_US
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