A block Krylov subspace time-exact solution method for linear ordinary differential equation systems

@article{Botchev2013ABK,
  title={A block Krylov subspace time-exact solution method for linear ordinary differential equation systems},
  author={Mike A. Botchev},
  journal={Numerical Lin. Alg. with Applic.},
  year={2013},
  volume={20},
  pages={557-574}
}
We propose a time-exact Krylov-subspace-based method for solving linear ordinary differential equation systems of the form y D Ay C g.t/ and y D Ay C g.t/, where y.t/ is the unknown function. The method consists of two stages. The first stage is an accurate piecewise polynomial approximation of the source term g.t/, constructed with the help of the truncated singular value decomposition. The second stage is a special residual-based block Krylov subspace method. The accuracy of the method is… CONTINUE READING
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