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Updated: Jun 7, 2025

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
Published on: May 25, 2019
Explicit time marching method with enhanced stability
Nishant Soni1, Akshaysingh Shekawat1, Santosh Ansumali1
1Engineering Mechanics Unit, <a href="https://ror.org/0538gdx71">Jawaharlal Nehru Centre for Advanced Scientific Research</a>, Jakkur, Bangalore 560064, India.
Abstract:
Recent developments in distributed computing architecture are slowly changing the way we develop partial differential equation solvers for simulating complex industrial and natural systems. Since achieving perfect parallelization of implicit temporal schemes is quite challenging, there is a growing interest in using explicit procedures with enhanced stability limits. The current work focuses on one such enhancement obtained by modifying an asynchronous delayed difference method. The proposed scheme, called the weighted difference scheme, is obtained as a weighted average of the delayed and conventional explicit schemes. This method exhibits an improved stability limit of 1.5 and also helps overcome the checkerboard instability associated with the delayed difference scheme. In the current paper, we discuss the different attributes of the proposed weighted scheme using a series of numerical analyses.
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