Title :
Accelerated simulation of integrated circuits using Chebyshev series
Author :
Palusinski, O.A. ; Szidarovsky, F. ; Abdennadher, M. ; Marcjan, C. ; Reiss, K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ, USA
Abstract :
Circuits are described by a set of nonlinear ordinary differential equations that are created using modified nodal analysis (MNA). A method based on the Newton-Kantorovich approach is used for linearization of the equations, and a very fast spectral algorithm based on Chebyshev polynomials is used to solve the linearized equations. Numerous properties of Chebyshev series are applied to develop an efficient algorithm and speed up the simulation process
Keywords :
Chebyshev approximation; circuit analysis computing; digital simulation; nonlinear differential equations; series (mathematics); Chebyshev polynomials; Chebyshev series; Newton-Kantorovich approach; linearization; modified nodal analysis; nonlinear ordinary differential equations; spectral algorithm; Acceleration; Chebyshev approximation; Circuit analysis; Differential equations; Integrated circuit modeling; Nonlinear equations; Polynomials; Tin;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230007
