Extrapolation Semi-implicit ODE solvers with adaptive timestep

@article{Butusov2016ExtrapolationSO,
  title={Extrapolation Semi-implicit ODE solvers with adaptive timestep},
  author={D. N. Butusov and A. V. Tutueva and E. S. Homitskaya},
  journal={2016 XIX IEEE International Conference on Soft Computing and Measurements (SCM)},
  year={2016},
  pages={137-140}
}
Semi-implicit numerical integration methods are an effective trade-off between weakly stable explicit and computationally expensive implicit ODE solvers. Variable stepsize is a proven technique to raise the effectiveness of ODE solvers in real applications. This paper considers the implementation of extrapolation semi-implicit methods with adaptive timestep for a two initial value problems, HIRES and Rössler systems. The performance of various adaptive extrapolation methods was compared by… CONTINUE READING