Circuit simulation has been a topic of great interest to the
integrated circuit design community for many years. It is a
difficult, and interesting, problem be cause circuit simulators are
very heavily used, consuming thousands of computer hours every
year, and therefore the algorithms must be very efficient. In addi
tion, circuit simulators are heavily relied upon, with millions of
dollars being gambled on their accuracy, and therefore the
algorithms must be very robust. At the University of California,
Berkeley, a great deal of research has been devoted to the study of
both the numerical properties and the efficient imple mentation of
circuit simulation algorithms. Research efforts have led to several
programs, starting with CANCER in the 1960's and the enormously
successful SPICE program in the early 1970's, to MOTIS-C, SPLICE,
and RELAX in the late 1970's, and finally to SPLICE2 and RELAX2 in
the 1980's. Our primary goal in writing this book was to present
some of the results of our current research on the application of
relaxation algorithms to circuit simu lation. As we began, we
realized that a large body of mathematical and exper imental
results had been amassed over the past twenty years by graduate
students, professors, and industry researchers working on circuit
simulation. It became a secondary goal to try to find an
organization of this mass of material that was mathematically
rigorous, had practical relevance, and still retained the natural
intuitive simplicity of the circuit simulation subject."
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