| Summary: | 碩士 === 國立中央大學 === 電機工程學系 === 86 === In circuit simulation,the CPU time is spent in two parts:One
is to transferthe circuit equation into the corresponding linear
equation Ax= B.The other isto solve this matrix equation. In
order to improve the simulation speed inmixed-level device and
circuit simulation, we proposes to simplify the creation of the
matrix equation by equivalent subcircuit,and speed upthe
simulation by Levelized Incomplete LU factorization. Simply
speaking,Levelized Incomplete LU method is to purge the high
level fill-ins whichis produced from LU decomposition. In this
way, we can economize on memoryspaceand calculation time. The
Levelized ILU is used to solve Ax = B because it offers the
good convergence of the direct methods,and the high speed,small
memory space of the iteration method. The Ax=b is obtainedby
transferring the Poisson equation and continuity equation into
theirequivalent circuits to simplify the mixed-level simulation.
Finally,we willapply the above methods to the simulation of some
semiconductor devicesand verify their performance on the
simulation and design of semiconductordevices.
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