Document Type


Date of Degree

Summer 2016

Degree Name

PhD (Doctor of Philosophy)

Degree In

Applied Mathematical and Computational Sciences

First Advisor

Stewart, David

First Committee Member

Stewart, David E

Second Committee Member

Oliveira, Suely

Third Committee Member

Ayati, Bruce

Fourth Committee Member

Stroyan, Keith

Fifth Committee Member

Kruger, Anton


The goal of electric circuit simulation is to describe the flow of electricity throughout an electric circuit. Simulating the behavior of the circuit can not only help improve the design and efficiency of electronics, but also save time and money used in physically making the circuit. Circuit simulation has been an ongoing problem due to the difficult equations that model circuit components. In this thesis we develop a mathematical model for simulating dynamic electric circuits with ideal diodes. We build our model to include key electrical components like power sources, resistors, inductors, and capacitors. We then extend our model to include ideal diodes. Diodes are special electrical elements in that they only allow current to flow in one direction. We present numerical methods for simulating electrical networks with resistors, capacitors, inductors, and diodes using a complementarity approach. These methods have both high order of accuracy and work directly with the network description of the circuit.


Circuits, Complementarity, Electric, Linear


xi, 134 pages


Includes bibliographical references (pages 132-134).


Copyright 2016 Mario Barela