Homotopy method with a formal stop criterion applied to circuit simulation

Homotopy method with a formal stop criterion applied to circuit simulation

The continuous scaling for fabrication technologies of electronic circuits demands the design of new and improved simulation techniques for integrated circuits. Therefore, this work shows a new double bounded polynomial homotopy based on a polynomial formulation with four solution lines separated by a fixed distance. The new homotopy scheme presents a bounding between the two internal solution ...

Oettli The Homotopy Method Applied to Eigenvalue Problems

Compound BDF multirate transient analysis applied to circuit simulation

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On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity

In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region ...

The Polynomial Method in Circuit Complexity Applied to Algorithm Design∗

In circuit complexity, the polynomial method is a general approach to proving circuit lower bounds in restricted settings. One shows that functions computed by sufficiently restricted circuits are “correlated” in some way with a low-complexity polynomial, where complexity may be measured by the degree of the polynomial or the number of monomials. Then, results limiting the capabilities of low-c...