23 February 2005 A new approach to the speculative method for the transient states analysis
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Abstract
In this paper the modified speculative method will be presented. The speculative method is an original approach to the transient states analysis in electrical circuits, described by systems of linear or nonlinear ordinary differential equations. In this method the time of the transient state analysis is divided into subintervals. Computations in particular subintervals are conducted in parallel with the use of one of well-known sequential numerical methods of solving ordinary differential equations systems. The parallel execution of computations requires the determination of the initial conditions at the beginning of each subinterval. In the speculative method, instead of one condition, several initial conditions are determined for each state variable, therefore, computations in particular subintervals are conducted repeatedly. In the modified speculative method several initial conditions are also determined, but the computations in each subinterval are executed only once. As the example of the modified speculative method application, the analysis of the transient states in a transmission line will be presented.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jaroslaw Forenc "A new approach to the speculative method for the transient states analysis", Proc. SPIE 5775, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments III, (23 February 2005); doi: 10.1117/12.610721; https://doi.org/10.1117/12.610721
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