Stability Analysis and Optimization of Semi-Explicit Predictor–Corrector Methods

The increasing complexity of advanced devices and systems increases the scale mathematical models used in computer simulations. Multiparametric analysis study on long-term time intervals large-scale are computationally expensive. Therefore, efficient numerical methods required to reduce costs. Recently, semi-explicit semi-implicit Adams–Bashforth–Moulton have been proposed, showing great computational efficiency low-dimensional simulation. In this study, we examine stability these by plotting regions. We explicitly show that possess higher than conventional predictor–corrector algorithms. second contribution reported research is a novel algorithm generate an optimized finite-difference scheme without redundant computation predicted values not for correction. experimental part includes simulation three-body problem network coupled oscillators with fixed variable integration step finely confirms theoretical findings.