Final-value ODEs: Stable numerical integration and its application to parallel circuit analysis

@article{Dong2009FinalvalueOS,
  title={Final-value ODEs: Stable numerical integration and its application to parallel circuit analysis},
  author={Wenhua Dong and Peng Li},
  journal={2009 IEEE/ACM International Conference on Computer-Aided Design - Digest of Technical Papers},
  year={2009},
  pages={403-409}
}
While solving initial-value ODEs is the de facto approach to time-domain circuit simulation, the opposite act, solving final-value ODEs, has been neglected for a long time. Stable numerical integration of initial-value ODEs involves significant complications; the application of standard integration methods simply leads to instability. We show that not only practically meaningful applications of final-value ODE problems exist, but also the inherent stability challenges may be addressed by… CONTINUE READING

References

Publications referenced by this paper.

Telescopic projective methods for parabolic differential equations

C. W. Gear, I. G. Kevrekidis
J. Comput. Phys., • 2003
View 4 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…