Model Problems in Numerical Stability Theory for Initial Value Problems

@article{Stuart1994ModelPI,
  title={Model Problems in Numerical Stability Theory for Initial Value Problems},
  author={Andrew M. Stuart and Antony R. Humphries},
  journal={SIAM Review},
  year={1994},
  volume={36},
  pages={226-257}
}
  • Andrew M. Stuart, Antony R. Humphries
  • Published in SIAM Review 1994
  • Mathematics, Computer Science
  • In the past numerical stability theory for initial value problems in ordinary differential equations has been dominated by the study of problems with essentially trivial dynamics. Whilst this has resulted in a coherent and self-contained body of knowledge, it has not thoroughly addressed the problems of real interest in applications. Recently there have been a number of studies of numerical stability for wider classes of problems admitting more complicated dynamics. This on-going work is… CONTINUE READING

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