Emira Dautbegovic

Kai Bittner, Emira Dautbegovic

In this paper we present an algorithm for analog simulation of electronic circuits involving a spline Galerkin method with wavelet-based adaptive refinement. Numerical tests show that a first algorithm prototype, build within a productively used in-house circuit simulator, is completely able to meet and even surpass the accuracy requirements and has a performance close to classical time-domain simulation methods, with high potential for further improvement.

Kai Bittner, Emira Dautbegovic

We present a new adaptive circuit simulation algorithm based on spline wavelets. The unknown voltages and currents are expanded into a wavelet representation, which is determined as solution of nonlinear equations derived from the circuit equations by a Galerkin discretization. The spline wavelet representation is adaptively refined during the Newton iteration. The resulting approximation requires an almost minimal number of degrees of freedom, and in addition the grid refinement approach enables very efficient numerical computations. Initial numerical tests on various types of electronic circuits show promising results when compared to the standard transient analysis.