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Absrruct-The nodal method has been widely used for formulating circuit equations in computer-aided network analysis and design programs. However, several limitations exist in this method including the inability to process voltage sources and currentdependent circuit elements in a simple and efficient manner. A mod&d nodal analysis (MNA) method is proposed(More)
The Waveform Relaxation (WR) method is an iterative method for analyzing nonlinear dynamical systems in the time domain. The method, at each iteration, decomposes the system into several dynamical subsystems each of which is analyzed for the entire given time interval. Sufficient conditions for convergence of the WR method are proposed and examples in MOS(More)
This paper gives an overview of the BlueGene/L Supercomputer. This is a jointly funded research partnership between IBM and the Lawrence Livermore National Laboratory as part of the United States Department of Energy ASCI Advanced Architecture Research Program. Application performance and scaling studies have recently been initiated with partners at a(More)
Inductance effects in on-chip interconnects have become significant for specific cases such as clock distributions and other highly optimized networks [1,2]. Designers and CAD tool developers are searching for ways to deal with these effects. Unfortunately, accurate on-chip inductance extraction and simulation in the general case are much more difficult(More)
—Waveform relaxation (WR) is a technique which can be used to solve large systems of ordinary differential equations (ODEs). It is especially suitable for the parallel solution of ODEs with multiple time scales, and has been successfully used for solution of electronic circuits and for solving partial differential equations (PDEs). The main issue limiting(More)
—The increase of operating frequencies requires 3-D electromagnetic (EM) methods, such as the partial element equivalent circuit (PEEC) method, for the analysis and design of high-speed circuits. Very large systems of equations are often produced by 3-D EM methods and model order reduction (MOR) techniques are used to reduce such a high complexity. When(More)
With ever increasing clock frequencies, accurate 3-D interconnect analysis in chips and packages is becoming a necessity. The retarded partial element equivalent circuit (rPEEC) method has been successfully applied to 3-D analysis but for large problems at becomes expensive in CPU and memory usage, and in time domain it sometimes has numerical problems.(More)
Waveform relaxation techniques are an important tool for the simulation of very large scale circuits. They are based on a partition of the circuit into sub-circuits, and then use an iteration between sub-circuits to converge to the solution of the entire circuit. Their importance has increased with the wide availability of parallel computers with a large(More)
Three-dimensional electromagnetic methods are fundamental tools for the analysis and design of high-speed systems. These methods often generate large systems of equations, and model order reduction (MOR) methods are used to reduce such a high complexity. When the geometric dimensions become electrically large or signal waveform rise times decrease, time(More)