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A SUPER NODAL APPROACH TO THE LINEAR ANALOG SOLVER IN A VHDL-AMS SYSTEM

by SUBRAMANIAN, SHRIRAM

Abstract (Summary)
The dynamic behavior of physical systems exhibit both continuous and discrete behavior. The discrete behavior can be described using discrete-event model and the continuous behavior using differential equation model. Simulation of these models is a way of validating and verifying the functionality the complex physical systems. Simulation of a continuous-time system involves finding consistent solution over time of the ODAE set that specifies the behavior. Hence, continuous-time simulators solve the ODAE set at several time points. The time to find the solution at a time point is dependent on the number of equations to be solved. Many numerical algorithms have been designed to find the solution at a time point. As the model size gets larger, the time taken to find the solution at a particular time point and hence the total simulation time increases monotonically. Application of various numerical algorithms over the ODAE set at a particular time point results in linear set of equations, which are needed to be solved. Direct methods are the preferred traditional methods, in solving this linear set of equations, due to their robustness and predictable behavior. The traditional methods are slower for larger models. The supernodal approaches to these direct methods are found to improve their performance. This research is an attempt to reduce the simulation time through sequential, multi threaded and distributed supernodal approaches to the direct method solver of a continuous time kernel.
Bibliographical Information:

Advisor:

School:University of Cincinnati

School Location:USA - Ohio

Source Type:Master's Thesis

Keywords:supernodal approach analog solver in vhdl ams system

ISBN:

Date of Publication:01/01/2003

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