Backward Error Analysis for Numerical Integrators∗

  title={Backward Error Analysis for Numerical Integrators∗},
  author={N SIAMJ.},
  • N SIAMJ.
  • Published 1996
Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the integration of Hamiltonian systems where backward error analysis can be used to show that a symplectic method will conserve energy over exponentially long periods of time. Such results are typically based on two aspects of backward error analysis: (i) It can be shown that the modified vector fields have some qualitative properties… CONTINUE READING
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